A Complete Bibliography of Publications in IMA Journalof Numerical Analysis

Nelson H. F. BeebeUniversity of Utah

Department of Mathematics, 110 LCB155 S 1400 E RM 233

Salt Lake City, UT 84112-0090USA

Tel: +1 801 581 5254FAX: +1 801 581 4148

E-mail: beebe@math.utah.edu, beebe@acm.org,beebe@computer.org (Internet)

WWW URL: http://www.math.utah.edu/~beebe/

08 January 2018Version 1.71

Title word cross-reference

(k, l) [306, 307]. −1 [998]. 1[341, 356, 397, 963, 1066]. 1/x [256]. 10 [781].2 [413, 663, 955, 1084]. 3[50, 171, 244, 591, 870, 1001, 1079, 1204, 1325].4 [35]. [1,∞) [256]. A [880, 1455]. α [1290].ap [1191]. AX + Y B = C [1546]. B [784]. R3

[928]. C0 [379, 200, 267]. C1 [1256, 1370]. C2

[504, 1079, 1257]. C1 [1183]. F [489]. Z[441]. χ [6]. D [118, 150, 1346]. DG(p) [810].ε [809, 1399]. G1 [628]. G2 [628]. γ [1016]. H[842, 1243, 1262, 1472, 484, 492, 1379].H(div) [777]. H1

[683, 1182, 475, 983, 1215, 1425]. H2

[389, 475]. Hs(0, L) [130]. H1 [587]. H∞[1145]. HΛ

p (Id) [694]. hp

[1167, 330, 699, 1123, 1124, 1122]. k [490]. l[463]. L(L2) [528]. L2 [334, 1028, 134, 756].L2(H1

γ) [902]. L∞(L2) [697]. L∞(L∞)[810, 811]. L1

[909, 1477, 1231, 1249, 1479, 1484, 1515, 1546].L2 [322, 683, 982, 453, 1483]. l∞ [1249]. Lp[1003, 1094, 1095, 1478]. λ [703]. LDLT

[1275, 722, 489]. LR [775]. LU[899, 931, 1382]. M [417, 770]. A− ϕ [448].T −Ω [448]. H [634]. P [373, 374, 429, 896,51, 169, 202, 517, 791, 811, 1287, 1315, 1379].p(x) [501]. Q [1530, 1224]. qd [775]. QR[359, 852]. R3 [1109]. < [816]. rp [1191]. T[672]. θ [937, 352, 764, 763, 1037, 1048, 1436].V [1505]. ϑ [936]. W (a, x) [707]. W 1,∞ [494].X [297, 1090, 1363]. x(i+1) = Px(i) + q [84].XY = A [1545]. y′′ = f(t, y) [373, 374].y′ = f(x, y) [428]. y′ = f(x, y) [429].

1

2

y′′ = f(x, y) [781]. y′′ = f(x, y) [426, 427]. z[289, 1093, 1211]. z−1 [289, 1093, 1211]. Z2

[898].

-acceptability [880]. -algebraic [306, 307].-algorithm [1399]. -approximation [1003].-approximations [937]. -BEM [202].-Bernstein [1224]. -boundedness[811, 810]. -condition [1016]. -convergence[494]. -Cycle [1505]. -decompositions[417, 931]. -elliptic [842, 484]. -error[528, 697]. -factorization [489]. -Galerkin[1215]. -Hessian [663]. -interior [267].-Laplacian [51, 169, 501]. -matrices [1472].-matrix [634, 672, 770]. -method [6].-methods [1037, 1048, 1436, 352, 764, 763].-narrow [492]. -norm [389, 756]. -norms[1287]. -order [1530]. -part [490].-partitions [118]. -projection [683].-rational [703]. -scheme [936]. -series[784]. -solutions [811, 1546]. -spline[1090, 1363]. -splines [297, 1183]. -stability[429, 683]. -stable [373, 374, 896, 1455].-structure [517]. -symmetry [898].-transform [441]. -transformation [1346].-triangulation [1290]. -type [489].-uniform [809]. -version[699, 791, 1167, 1315]. -weighted [1262].

17 [1377].

2 [170, 1076]. 26 [68].

31 [1510]. 3D [1422].

5 [374, 578].

65130 [426].

7 [537].

83d [1076]. 86d [578]. 87c [374].

9 [426]. 90d [537]. 90i [426]. 98d [1377].

Abel [324, 1051, 1052]. abscissa [1119].absolute [945, 1101, 1535, 1438]. absorbing[1074]. abstract [216]. Accelerated [115].accelerating [866]. Acceleration[1000, 271, 868, 878, 1101, 1102].accelerator [580]. acceptability [880].accretive [227, 228]. accumulation [403].Accuracy[1169, 101, 373, 374, 809, 883, 900, 1355].Accurate[485, 533, 605, 650, 707, 731, 870, 1067, 1166,1188, 1401, 1402, 1462, 1532, 1541]. achieve[509]. acoustic[182, 206, 239, 672, 949, 950, 1001, 1297].active [218]. Adams [789]. Adams-type[789]. adapted [1032]. Adaptive[85, 326, 466, 497, 644, 1187, 1398, 34, 40,169, 173, 179, 319, 337, 342, 375, 439, 468,530, 557, 603, 614, 675, 684, 846, 910, 971,972, 989, 990, 1068, 1128, 1347, 1500, 1544].addition [637]. additional [205, 1153].Additive [794, 1315, 86, 406, 816, 935, 1047,1152, 1469, 1516]. additively [369]. ADER[1411]. ADER-WAF [1411]. adhesion[462, 700]. ADI [1217]. adjoint[245, 1012, 1088, 1326, 1385, 1464].advected [978]. advection [576, 593, 601,666, 1135, 1190, 1355, 1421, 1485].advection-diffusion [1135, 1190]. adverse[231]. Afem [344]. after [457]. aggregated[1380]. aid [1310]. Ale [1067]. Ale-Fem[1067]. algebra [1430]. algebraic[133, 306, 307, 323, 351, 434, 664, 728, 757,771, 955, 1020, 1027, 1204, 1301, 1325, 1348,1350, 1397]. algebraically [435]. algorithm[234, 237, 250, 300, 301, 342, 349, 390, 395,446, 480, 518, 542, 599, 604, 613, 633, 693,723, 729, 801, 838, 851, 852, 861, 951, 1078,1100, 1153, 1220, 1240, 1245, 1399, 1448,1454, 1477, 1483, 1496, 1503, 1518, 1531].Algorithms[519, 1126, 1151, 46, 47, 70, 180, 439, 476,515, 565, 595, 597, 686, 753, 771, 775, 1000,1127, 1132, 1258, 1261, 1284, 1352, 1365,

3

1379, 1414, 1422, 1502, 1529, 1530, 1539].alignment [44]. Allen [141, 218, 639, 741].alloy [138, 139, 140, 220, 944]. alloys [1527].alpha [498]. Alternate [472, 1132, 1133].alternating[213, 288, 376, 414, 413, 719, 1274]. Ampere[98]. Anal [374, 426, 537, 578, 1076, 1377].analyses [155, 365, 794]. Analysis[16, 224, 225, 249, 287, 388, 400, 457, 474,545, 620, 638, 639, 679, 759, 788, 818, 860,1029, 1065, 1272, 1277, 1411, 1510, 1, 4, 38,76, 109, 121, 131, 170, 174, 185, 192, 188,195, 209, 218, 220, 241, 264, 265, 269, 317,324, 336, 339, 347, 383, 396, 430, 452, 476,524, 531, 566, 572, 574, 576, 585, 595, 594,586, 591, 587, 592, 597, 602, 1275, 641, 666,672, 681, 687, 688, 706, 757, 825, 844, 857,856, 893, 898, 897, 908, 909, 949, 950, 962,966, 970, 971, 985, 1008, 1009, 1043, 1044].analysis [1051, 1068, 1066, 1082, 1088, 1113,1116, 1157, 1176, 1179, 1183, 1186, 1191,1258, 1269, 1289, 1326, 1395, 1464, 1470,1503, 1505, 1499, 1502, 1507, 1519, 1526,1534, 1542, 872, 873, 1443]. Analytic[1434, 31, 41, 913, 1234, 1279]. analytical[7, 133, 765]. Andrew [751]. angles [176].Anisotropic [382, 73, 149, 151, 514, 601,607, 608, 712, 741, 982, 983, 1039, 1505].annulus [289, 1093, 1211]. any [607]. AOR[1472]. apertures [817]. Application[390, 74, 178, 226, 329, 364, 375, 393, 511, 614,616, 840, 849, 930, 1025, 1121, 1170, 1448].applications[82, 114, 118, 288, 293, 395, 739, 736, 762,1060, 1284, 1357, 1395, 1404, 1509, 1510].applied [117, 179, 378, 660, 737, 813, 977,1026, 1031, 1104, 1165, 1306, 1472].appraisal [1210]. approach[40, 466, 524, 526, 690, 882, 1140, 1141, 1186,1203, 1202, 1262, 1402, 1415, 1428, 1549, 464].approximants [634]. approximate [136,316, 384, 502, 581, 606, 799, 846, 959, 1105].approximated [447]. Approximating[767, 1033, 500, 479, 1145, 1284, 1385].

Approximation[71, 182, 256, 264, 279, 747, 787, 786, 814, 829,1131, 1334, 1512, 3, 12, 18, 22, 19, 23, 36, 48,51, 101, 110, 129, 144, 146, 147, 148, 142, 138,139, 140, 141, 137, 149, 154, 150, 156, 158,161, 172, 190, 227, 228, 230, 236, 245, 260,272, 291, 292, 318, 333, 334, 346, 351, 394,402, 404, 425, 431, 444, 453, 506, 517, 528,563, 583, 588, 590, 607, 619, 651, 654, 662, 671,685, 700, 701, 720, 812, 827, 831, 843, 862, 866,867, 869, 889, 890, 913, 925, 940, 976, 978].approximation[994, 1003, 1024, 1038, 1060, 1232, 1068,1083, 1149, 1161, 1173, 1182, 1198, 1209,1233, 1270, 1282, 1296, 1307, 1340, 1388,1402, 1424, 1453, 1477, 1478, 1479, 1482,1488, 1491, 1493, 1500, 1516, 1521].approximations[10, 34, 99, 151, 153, 152, 162, 265, 283, 284,426, 427, 475, 485, 580, 589, 653, 666, 668,696, 697, 718, 761, 880, 907, 935, 938, 937,939, 980, 987, 1010, 1011, 1094, 1095, 1105,1148, 1187, 1188, 1206, 1216, 1276, 1302,1312, 1317, 1329, 1346, 1362, 1378, 1416,1423, 1422, 1425, 1474, 1495, 1547, 486].Arbitrarily [1316]. Arbitrary [514, 107,495, 626, 661, 721, 814, 1045, 1057, 465].Arbitrary-order [514]. arcs [1520].arguments [1176]. arising[27, 26, 272, 317, 588, 635, 725, 757, 780, 841,850, 952, 1027, 1216, 1254]. arithmetic[1192, 1193, 1340]. Arnold [334].Aronszajn [614]. aspects [1309]. asserting[1448]. assets [853]. associated[46, 47, 54, 770]. assumptions [677].asymmetric [1087]. asymmetry [1351].Asymptotic [355, 555, 701, 1110, 1201,1463, 1493, 15, 43, 70, 352, 595, 702, 705,750, 907, 975, 1040, 1499].asymptotic-preserving [705].asymptotics [496]. asynchronous [1130].atom [30]. atomistic [1021].atomistic-to-continuum [1021].attenuation [1271]. attracting [1325].

4

attraction [676]. attractivity [1314].attractor [826, 829]. Attractors[954, 758, 955]. Augmented[565, 648, 155, 442, 985, 999, 1018, 1262].auto [104, 1236]. auto-correction [1236].auto-correlation [104]. Automatic[403, 316]. autonomous [399, 914].Auxiliary [484]. Average [1196]. averages[601, 1005]. averaging [447, 1209].Avoiding [37]. axisymmetric [185, 1186].

B [313, 720, 927, 1429]. B-series [313].B-spline [720, 927, 1429]. back [573].Backward [1054, 491, 513, 657, 962, 1100,1130, 1142, 1393]. Bakhvalov [1029].Bakhvalov-Shishkin [1029]. balance [686].Banach [642, 1154, 1471]. band [442, 492].Banded [782]. Barlow [1525]. barotropic[671]. barrier [900]. barycentric [97, 824].Barzilai [471, 470, 1268]. Basc [654]. based[5, 123, 221, 347, 361, 390, 447, 515, 589, 638,704, 785, 930, 985, 991, 1096, 1097, 1101,1128, 1132, 1133, 1177, 1338, 1362, 1401,1415, 1419, 1444, 1525]. bases[39, 991, 1410]. basis[112, 163, 296, 331, 394, 450, 652, 653, 667,672, 894, 1003, 1070, 1234, 1286, 1506, 1533].BDDC [330]. BDF [882]. BDF-like [882].Beam [1419]. beams [1329]. Bean [586].bed [405]. behaviour[355, 463, 555, 570, 661, 1040, 1201, 1515].Bellman [902, 1137]. Bellman-type [1137].Beltrami [304]. BEM[5, 127, 202, 273, 634]. bending [1182].benefit [860]. Bernstein [1222, 1224].Bessel [1510, 1509]. Best[1233, 1491, 260, 334, 1038, 1094, 1095, 1209].between [43, 170, 653, 1410]. beyond [526].Bezier [444]. BFGS [1531]. bi [747].bi-variate [747]. bicubic [122]. bidiagonal[804, 1103]. bidimensional [1294]. BIE[617, 618]. bifurcation[35, 507, 600, 1149, 1312]. Bifurcations[1376, 1377, 370, 749]. biharmonic

[254, 267, 670, 695, 704, 773, 1070, 1516].bilateral [131]. bilinear [656]. binary [944].Birkhoff [12]. bisection [683]. bivariate[1183, 1369]. Black [927, 1468, 873]. Block[180, 1244, 114, 226, 445, 461, 1275, 734, 804,1048, 1058, 1106, 1519]. Block-diagonal[1244, 445]. block-tridiagonal [461].blocks [25, 1103]. blow [644]. blow-up[644]. bmo [71]. bodies [241]. body[462, 832, 1335]. Bogdanov[209, 898, 897, 1504]. Boltzmann [651].Boor [1518]. bordered [1519]. borders[734]. Borwein [471, 470, 1268]. bound[138, 140, 599, 743, 1091, 1286, 1347].bound-constrained [743]. boundaries[383]. Boundary[847, 874, 992, 3, 7, 37, 52, 72, 80, 96, 118, 143,147, 152, 179, 184, 195, 201, 206, 211, 212,222, 223, 239, 249, 311, 340, 338, 346, 354,367, 371, 372, 383, 390, 398, 418, 421, 431, 493,494, 532, 540, 574, 577, 590, 603, 614, 625, 681,688, 713, 755, 779, 810, 811, 813, 816, 817, 832,838, 843, 845, 904, 918, 966, 968, 1023, 1068,1074, 1080, 1111, 1123, 1147, 1162, 1168, 1185,1212, 1254, 1271, 1308, 1355, 1360, 1381, 1389,1392, 1391, 1395, 1396, 1423, 1459, 1494, 873].boundary-concentrated [574].boundary-finite [847]. boundary-locus[118]. boundary-value [249, 390, 755, 1147].Bounded [1354, 407, 1264, 1279, 1537].Bounded-norm [1354]. boundedness[810, 811]. Bounds[901, 18, 20, 22, 19, 23, 79, 129, 132, 196, 387,493, 499, 697, 914, 913, 1004, 1194, 1192,1193, 1222, 1223, 1276, 1280, 1290, 1339,1393, 1412, 1460, 1467, 1473, 1475].Boussinesq [623, 1207]. box[615, 648, 677, 1253]. Branch [35, 318].branched [461]. breaking [897, 1149, 1504].bridge [1470]. Brinkman [42, 917].Broken [157, 293]. Brownian [1470].Broyden [1539]. bubble [656, 727]. bulk[592]. bulk-surface [592]. Burgers’[1306, 1017]. Burgers-like [1017].

5

Burniston [41]. Burniston-Siewert [41].

Cahn[141, 85, 218, 516, 639, 741, 742, 994, 1168].Cahn/Cahn [141]. calculation[214, 230, 440, 748, 1049]. calculus [1288].Call [56]. Camassa [1474]. canonical [54].capillary [176]. Caputo [1389].Caratheodory [582, 583, 1241]. cardinality[344]. Carlo [721, 1072]. cartoon [587].case [30, 231, 526, 614, 618, 617, 843, 1253].Cauchy [216, 430, 454, 998, 1225, 1239].Cauchy-type [454]. cavity [645]. cell[349, 607, 679, 700]. cell-centred [349, 607].central [290, 1013, 1134].central-difference [1134]. central-upwind[290]. centre [920]. Centred[1420, 349, 607]. certain[449, 521, 595, 719, 841, 952, 1223, 1501].chain [1198]. chains [997]. Change[551, 892, 510, 557, 1273, 1520, 1538].channel [934]. chaos [1416].Characteristic [241, 72, 263]. Cheap [979].chebfuns [1208]. Chebyshev[36, 199, 200, 260, 612, 740, 934, 1009, 1017,1094, 1161, 1222, 1375, 1374, 1444, 1462,1480, 1482, 1491]. chemotaxis [1292].choice [456, 911, 1268]. Cholesky[365, 1382, 1538]. Chordal [650].Christoffel [495]. CIP [1499]. circle[299, 446, 726]. circular [645, 1093]. claims[1549, 512]. class [3, 114, 286, 287, 337, 372,428, 631, 641, 694, 771, 780, 812, 837, 926,941, 942, 1019, 1085, 1171, 1265, 1284, 1301,1326, 1355, 1417, 1434, 1437]. classical[88, 98]. classification [1328]. Clement[74]. Clement-type [74]. Clenshaw[529, 1510, 11, 1509]. close [450].close-to-touching [450]. Closed[833, 150, 720, 1304]. Closed-form [833].closest [604]. closure [70]. clustering[968]. codes [361, 788, 1333]. coefficient[763, 912, 939, 1170, 1233, 1299, 1485].coefficients

[71, 230, 377, 397, 573, 652, 715, 858, 871, 913,922, 921, 1173, 1226, 1416, 1462, 1542, 484].collection [1335]. Collective [1109].Collocation[33, 946, 1407, 15, 92, 187, 211, 213, 217, 273,282, 281, 285, 287, 454, 521, 541, 674, 701,728, 738, 759, 780, 813, 919, 927, 934, 981,1006, 1009, 1017, 1059, 1077, 1129, 1217,1366, 1375, 1374, 1403, 1455, 1493, 1494, 796].collocation-type [981]. combination[740, 1272]. combinations [732]. combined[239, 1454]. committed [1445]. Compact[293, 682, 511, 668, 1372]. compactly [394].companion [491]. Comparison[168, 339, 41, 132, 336, 669]. Comparisons[653, 1335]. compatible [225, 645].complement [712]. complementarity[113, 1473]. complementary [1408].complete [235, 1447]. completely[463, 1515]. completion [32, 376].Complex [89, 878, 75, 180, 495, 575, 704,771, 895, 1087, 1094, 1193, 1311, 1462, 1480].Complexity [694, 342, 468]. component[138, 139, 140, 220, 1470]. Componentwise[1473, 396, 1287]. Composite[1232, 252, 444, 1496]. compound [520, 958].compressible [223, 671, 717, 940].compressible-gas [717]. Computable[20, 19, 23, 79, 813, 1004, 1467, 18, 1452].Computation[920, 1119, 1150, 1241, 1380, 4, 25, 208, 247,260, 367, 542, 593, 600, 707, 984, 985, 1005,1059, 1126, 1159, 1218, 1426, 1429, 1462].Computational [387, 507]. Computations[805, 468, 1072, 1081]. computed [499, 570].computer [787, 786]. computerized [1240].computers [1192]. Computing[119, 263, 262, 556, 823, 905, 1399, 1400,1535, 1543, 55, 371, 419, 450, 667, 801, 1120,1200, 1345, 1514]. concentrated [574].concentration [139].concentration-dependent [139].concerning [1211]. condition [46, 47, 147,177, 179, 396, 643, 688, 762, 1016, 1538, 873].

6

conditional [556]. conditioned[104, 711, 1395]. conditioning[84, 646, 1285]. Conditions [1249, 72, 167,195, 223, 239, 298, 354, 428, 532, 540, 611,625, 631, 774, 810, 811, 966, 988, 1074, 1168,1212, 1355, 1369, 1381, 1436, 1489].conducting [241]. conduction [18].conductivity [564]. configuration [957].conformal [358, 581, 669, 959, 1009].Conforming [327, 776, 934, 73, 274, 348,576, 689, 777, 1026, 1176, 1180]. conjecture[1211]. Conjugate[1087, 111, 784, 895, 1261, 1351, 1454, 1536].conjugate-gradient [895]. connected[959, 1129]. connecting [208, 1150].Conservation [424, 357, 410, 439, 692, 810,811, 846, 1323, 1339, 1368, 1420, 1532].Conservative [321, 1292, 1303, 1255, 1256].conserving [389]. consistency [1326, 1421].consistent [525]. consolidation [1307].Constant [22, 526, 1418, 1521]. constants[780, 1406, 1451]. constrained[159, 178, 260, 381, 459, 599, 648, 654, 743,951, 1153, 1313, 1324, 1384]. Constraining[961]. constraints [342, 481, 1100, 1233].constricted [934]. constructing [1151].construction [602, 799, 914, 1492, 1517].Constructive [898]. contact[17, 131, 170, 176, 493]. context [1078, 1337].contingent [1549, 512]. continuation[659, 702, 861, 1235]. continued [461].Continuous [621, 1291, 1362, 21, 302, 330,661, 914, 995, 1038, 1418, 1477]. continuum[1021, 1198]. contour [1486]. contours[233]. contraction [1145]. control[81, 114, 270, 271, 316, 346, 381, 561, 702,987, 1198, 1253, 1259, 1317]. control-state[381]. controlled [787, 786]. Convection[242, 243, 99, 120, 133, 181, 275, 326, 341,348, 392, 388, 380, 413, 447, 485, 528, 563,571, 626, 679, 772, 939, 943, 956, 1029, 1031,1049, 1056, 1055, 1068, 1067, 1081, 1124,1156, 1158, 1187, 1305, 1343, 1464, 1466,1489, 1507, 1544, 464, 486, 1392].

convection-diffusion [99, 133, 275, 326,348, 388, 563, 626, 679, 772, 939, 943, 1029,1031, 1056, 1055, 1068, 1067, 1081, 1124,1156, 1305, 1343, 1464, 1489, 1507, 486].convection-diffusion-reaction [447].Convection-diffusion-type [1392].convection-dominated [120]. converge[1234]. Convergence[7, 31, 110, 117, 137, 273, 294, 337, 356, 439,469, 468, 530, 543, 560, 641, 666, 672, 675,684, 691, 798, 836, 857, 902, 922, 921, 949,978, 986, 993, 1055, 1168, 1176, 1296, 1328,1416, 1472, 1471, 1485, 1495, 1496, 1503, 1505,1502, 1507, 1518, 1537, 1542, 1443, 29, 38, 46,47, 84, 108, 113, 120, 162, 173, 219, 246, 271,284, 363, 362, 368, 378, 454, 471, 494, 516,524, 581, 584, 619, 631, 642, 643, 709, 710,794, 803, 810, 811, 826, 852, 861, 853, 866, 878,894, 971, 980, 990, 1043, 1068, 1066, 1065].convergence[1073, 1101, 1123, 1122, 1148, 1165, 1175, 501,1230, 1237, 1249, 1247, 1251, 1252, 1260, 1261,1273, 1312, 1316, 1321, 1327, 1347, 1363, 1412,1414, 1417, 1464, 1469, 1529, 1530, 1536, 873].Convergent[942, 1163, 1352, 123, 124, 159, 390, 413, 636,693, 835, 838, 910, 940, 1069, 1170, 1396].Conversion [1410]. convex[215, 337, 342, 503, 722, 800, 951, 1197, 1366].Convexity [929, 510].Convexity-preserving [929]. Convolution[367, 778, 364, 779, 1041, 1050, 1051, 1267].Cook [994]. coordinate [226]. coordinates[1146, 1380]. corank [35]. corank- [35].corner [808, 1056]. corotational [154].Corrected [1085, 916]. correction[133, 135, 616, 1236]. corrections[252, 1219]. corrector[573, 1438, 1442, 1440, 1441]. Correlation[32, 104, 234, 823, 1262, 1535].corresponding [649, 945]. Corrigendum[227, 374, 537]. Cosine [1520, 328, 426, 427].Cotes [1014, 1501]. counterexample [765].counterpart [122]. coupled

7

[80, 193, 194, 253, 386, 592, 609, 640, 847,949, 1032, 1042, 1069, 1187, 1305, 1450].Coupling [338, 5, 43, 179, 273, 311, 340,350, 689, 690, 950, 1021, 1089, 1121, 1289].couplings [418]. covariance [457].covariant [498]. CQ [127]. CQ-BEM [127].crack [366]. cracks [172]. Craig [1507].Crank [467, 732, 1273]. Crank-Gupta[467]. criss [300]. criss-cross [300]. criteria[1130]. criterion [166]. critical [511, 591].critical-state [591]. criticality [1072].cross [205, 241, 300, 651]. cross-diffusion[205]. cross-section [241]. Crouzeix[972, 1028]. cubature [649, 1071]. Cubic[1090, 28, 122, 342, 444, 476, 650, 946, 1079,1219, 1257, 1360, 1363, 1370]. curl[103, 409, 842, 484]. curl-curl [409]. current[5, 185, 184, 241, 586, 1274, 1282, 1361].curse [1470]. Curtis [1509, 1510, 11, 529].curvature [152, 458, 589, 610, 639, 662, 978].Curve [433, 444, 493, 589]. curved[143, 147, 814, 1289]. curves[87, 150, 156, 158, 236, 627, 629, 1304]. cusps[1373]. cut [304]. Cycle [1505]. cyclic [470].cylinder [707]. cylindrical [988].

D [50, 171, 244, 341, 356, 397, 413, 591, 870,963, 1001, 1066, 1084]. dam [1408].damped [996]. Darboux [495].Darboux-type [495]. Darcy[102, 193, 194, 266, 386, 793, 1089, 1121].Data[453, 567, 143, 184, 260, 341, 446, 478, 504,503, 509, 510, 522, 627, 645, 746, 845, 851,909, 1060, 1205, 1398, 1482, 1506, 1507, 1512].data-reduction [1060]. DDFV [50, 250].decaying [725]. decomposable [1227].decomposing [587]. decomposition[83, 198, 207, 241, 349, 638, 685, 704, 713,747, 794, 1057, 1379, 1423, 1522].decompositions[206, 417, 533, 667, 850, 931, 1383, 1533].decoupled [124]. Decoupling [1103].Dedication [891]. defect [252, 616, 135].

deferred [616]. deficient [177]. definite[790, 1250, 1334]. definiteness [166].defocusing [2]. Degasperis [419].Degenerate [902, 8, 337, 659, 698, 736, 939,1361, 1456, 1466]. degree [330, 388, 929].Delay [764, 117, 119, 175, 263, 291, 766, 765,848, 1037, 1436, 1503, 1534, 872, 1442].delay-integro-differential [1534]. delays[285, 287, 848, 855, 1418]. Delves [41].Delves-Lyness [41]. denominator [503].density [347, 586, 665]. depend [1412].dependent[5, 25, 139, 191, 195, 280, 413, 485, 567, 764,802, 820, 831, 938, 957, 964, 1125, 1384, 1466].derivation [965]. derivative [393, 432, 505,653, 730, 1019, 1226, 1279, 1389, 1540].derivative-free [393, 432, 1019].derivatives [233, 559, 1138, 1144, 1246,1399, 1400, 1429, 1467, 1521]. derived[1114]. Descent[29, 226, 458, 466, 482, 1536]. describing[197]. Design [971, 698, 1402].determinants [881, 1434]. Determination[740, 104, 505, 731, 830]. deterministic[421, 694, 1040]. DeTurck [589].Developments [1246, 723, 1191]. devising[418, 417]. DG[811, 572, 777, 977, 1544, 484]. DGFEM[1322, 1490]. diagonal [445, 1244].diagonally [323, 1336]. Difference[8, 3, 28, 75, 130, 222, 224, 272, 350, 371, 372,413, 455, 513, 532, 577, 613, 631, 835, 836,883, 900, 922, 921, 939, 960, 988, 1031, 1054,1068, 1066, 1065, 1102, 1114, 1117, 1134,1146, 1164, 1272, 1323, 1339, 1388, 1389,1396, 1456, 1458, 1485, 1515, 1527].difference-type [1515]. differences[453, 682]. different [1410].differentiability [611]. differentiable[731, 1226]. differential[106, 119, 135, 175, 231, 263, 291, 308, 323,328, 345, 368, 387, 569, 578, 579, 584, 592, 655,658, 663, 674, 708, 749, 757, 758, 764, 789, 818,842, 849, 848, 864, 877, 896, 903, 914, 947, 955,

8

954, 974, 995, 1022, 1030, 1037, 1054, 1063,1075, 1076, 1077, 1108, 1131, 1142, 1152, 1166,1173, 1175, 1204, 1214, 1215, 1217, 1241, 1269,1270, 1277, 1291, 1325, 1341, 1380, 1403, 1418,1430, 1436, 1491, 1492, 1534, 1548, 872, 1446].differential-algebraic [323, 1204].differential-functional [1548].differentiation[324, 657, 782, 888, 948, 1498, 1517]. diffuse[593, 1144]. diffusion[13, 75, 99, 120, 133, 161, 205, 230, 253, 262,275, 326, 341, 348, 353, 356, 355, 388, 380,414, 413, 447, 485, 514, 528, 558, 563, 571, 575,576, 593, 596, 601, 607, 608, 626, 679, 749, 772,865, 906, 912, 908, 939, 943, 956, 963, 964, 977,983, 1029, 1031, 1032, 1034, 1040, 1056, 1055,1068, 1065, 1067, 1069, 1081, 1124, 1122, 1135,1156, 1158, 1164, 1165, 1167, 1190, 1230, 1243,1302, 1305, 1319, 1343, 1390, 1392, 1391, 1421,1464, 1466, 1489, 1503, 1507, 1544, 512, 486].diffusion-uniform [977]. diffusions [10].diffusive [1040]. diffusivity [601]. digital[515]. digits [1192, 1432]. dilute [154].Dimension [795, 133, 389, 475, 607, 682,808, 1124, 1125, 1213, 1388].dimension-splitting [808]. dimensional[26, 88, 163, 240, 250, 255, 266, 272, 281, 353,407, 425, 602, 614, 617, 661, 679, 768, 803,817, 906, 932, 948, 1002, 1013, 1020, 1062,1065, 1067, 1107, 1173, 1206, 1328, 1339,1352, 1507, 1508, 786]. dimensionality[1470]. dimensionally [20]. dimensions[8, 78, 105, 129, 165, 603, 633, 776, 1034,1045, 1132, 1133, 1245, 1423]. diminishing[783]. diodes [24]. Dirac [341]. Direct[443, 600, 460, 748, 799, 976]. direction[213, 376, 414, 413]. directions [731].Dirichlet [125, 618, 624, 1088, 1140, 1212].Dirichlet-to-Neumann [125]. disc [797].discontinuities [309, 310]. Discontinuous[203, 283, 431, 695, 843, 1461, 22, 85, 109, 155,266, 274, 304, 311, 326, 330, 389, 378, 409, 410,418, 419, 447, 517, 528, 531, 571, 601, 639, 699,698, 696, 756, 842, 844, 845, 858, 935, 939, 970,

993, 1063, 1084, 1125, 1165, 1167, 1364, 484].discovered [775]. discrepancy [911].Discrete[36, 70, 83, 622, 632, 915, 1007, 1479, 1, 8, 50,94, 92, 127, 204, 225, 245, 260, 290, 324, 389,398, 425, 494, 522, 564, 616, 621, 645, 785,802, 836, 906, 937, 953, 978, 1013, 1074, 1111,1251, 1327, 1343, 1362, 1425, 1532, 486].discrete-time [616]. Discretising [38].Discretization [16, 253, 608, 1106, 1142,1156, 1337, 13, 28, 42, 50, 70, 123, 125, 162,193, 192, 188, 194, 197, 264, 266, 268, 275,463, 524, 545, 560, 569, 588, 686, 749, 755,758, 870, 876, 882, 924, 955, 954, 971, 1047,1053, 1054, 1066, 1108, 1112, 1115, 1164,1197, 1230, 1288, 1338, 1361, 1469, 464].discretizations[2, 49, 82, 240, 269, 341, 709, 741, 826, 842,865, 956, 1104, 1450, 484, 873, 1446].discretized [31, 295, 317, 676].Discretizing [370, 401]. discs [450].dispersive [224, 993]. Displacement [840].dissipation [290]. dissipative [794, 864].Dissipativity [855]. distance [1287, 1484].distributed [114]. distribution [649, 1432].div [1243]. divergence[50, 102, 630, 776, 1207, 1281, 1533].divergence-free [630, 776, 1207, 1281, 1533].diverse [1335]. divided [453]. do [1234].Domain [1379, 1423, 9, 83, 125, 198, 207,299, 349, 522, 638, 678, 685, 713, 779, 794,850, 993, 1055, 1057, 1065, 1147, 1522, 1537].domains [20, 23, 73, 74, 102, 103, 107, 172,276, 383, 575, 623, 676, 796, 905, 959, 1057,1232, 1129, 1218, 1264, 1281]. dominated[120, 1187]. Donaldson [1278]. Doppler[1078]. double [837, 1182]. double-well[1182]. doubling [600, 771]. doubly [1129].Douglas [1251]. downdating [1298]. drift[230, 356, 355, 686]. drift-diffusion[356, 355]. drift-flux [686]. driven [344].drops [805]. Dual[1422, 218, 991, 1181, 1262]. Dual-primal[1422]. duality [50]. due [808]. dumbbell

9

[154]. Dynamic[17, 265, 420, 966, 995, 1168, 1307].dynamical [208, 370, 855]. Dynamics [2,295, 615, 619, 717, 877, 878, 957, 1005, 1431].

E-based [5]. Eckhoff [1236]. eddy[5, 185, 184, 1274, 1282, 1361]. edge[77, 1039, 1322, 1422]. edges [73]. Editorial[63, 550, 1409, 1155]. Editorship [551, 892].educational [408]. effect [609, 1528].effective [557, 1200]. effects [918, 1351].Efficiency [716]. Efficient [230, 597, 930,984, 1002, 1331, 1332, 480, 700, 1364, 1386].eigenelement [980]. eigenpairs [214].eigenproblems [1220]. eigensystems[1399]. Eigenvalue[9, 451, 48, 172, 207, 221, 278, 379, 402, 406,566, 660, 675, 693, 907, 969, 1002, 1116,1120, 1119, 1235, 1397, 1475, 1500, 1513].eigenvalues [55, 245, 247, 262, 371, 468, 499,670, 905, 969, 1059, 1120, 1179, 1270, 1400].eigenvectors [1400]. elastic[131, 156, 158, 334, 366, 462, 638, 1074].elasticity [223, 336, 727, 991, 1490, 1508].elastodynamics [706]. elastoplastic [186].electric [202, 586]. electrical [253, 910].electrically [241]. Electromagnetic [904].electron [957]. electrostatic [450].Element[902, 18, 22, 19, 23, 34, 48, 49, 53, 72, 73, 77,76, 79, 80, 99, 100, 101, 102, 103, 110, 123,129, 132, 143, 144, 145, 146, 147, 135, 134,148, 142, 138, 139, 140, 141, 137, 153, 161,169, 171, 172, 179, 183, 185, 190, 189, 193,192, 201, 203, 210, 244, 252, 253, 265, 274,303, 309, 310, 311, 314, 327, 340, 336, 339,367, 377, 391, 382, 379, 395, 400, 404, 418, 431,455, 468, 493, 492, 516, 530, 543, 547, 563, 564,571, 588, 590, 586, 591, 592, 603, 605, 624].element[623, 625, 638, 640, 662, 670, 678, 685, 689,688, 699, 698, 697, 714, 718, 727, 791, 793,802, 806, 807, 816, 817, 831, 832, 843, 844,847, 858, 906, 907, 908, 910, 916, 926, 932,

944, 949, 950, 956, 972, 974, 982, 989, 991,996, 994, 1004, 1011, 1015, 1023, 1028, 1029,1047, 1049, 1056, 1055, 1082, 1083, 1089, 1111,1116, 1123, 1124, 1121, 1135, 1137, 1160, 1174,1178, 1182, 1190, 1197, 1207, 1212, 1215, 1216,501, 1230, 1243, 1244, 1269, 1277, 1282, 1289,1291, 1292, 1294, 1297, 1305, 1320, 1328, 1329,1353, 1378, 1392, 1391, 1413, 1415, 1422].element[1451, 1469, 1476, 1508, 1516, 1524, 1540, 465].elements [21, 98, 105, 182, 257, 330, 340,338, 346, 348, 474, 568, 576, 614, 656, 684,733, 736, 776, 805, 904, 917, 942, 1026, 1039,1135, 1136, 1164, 1180, 1256, 1281, 1295,1315, 1347, 1390, 1537]. elimination[332, 395, 734, 1194, 1383, 1519]. Elliott[1278]. Elliott-Donaldson [1278]. ellipses[446]. elliptic[1, 35, 52, 53, 71, 98, 143, 145, 146, 147, 210,212, 235, 270, 303, 322, 327, 354, 390, 394,431, 440, 466, 492, 530, 543, 559, 588, 590,663, 696, 718, 760, 830, 843, 842, 844, 845,858, 922, 935, 947, 1042, 1058, 1084, 1088,1132, 1147, 1163, 1235, 1276, 1353, 1392,1391, 1416, 1505, 1522, 1525, 1542, 464, 484].elliptic-hyperbolic [543]. emanating[209]. embedded [309, 536, 537].embedding [1225]. embeddings [293].enclosures [30]. End [167]. endpoint[1239]. endpoints [665]. Energy[783, 916, 525, 692, 1182, 1415].energy-based [1415]. Energy-corrected[916]. Energy-diminishing [783].enhanced [1430]. enhancement [771].Enhancing [1500]. Enright [818].Enright-Kamel [818]. ensuring [602].enthalpy [557, 585, 1015, 1386, 1458].enthalpy-type [1386]. Entries[56, 881, 1280]. entropy [706, 1264, 1532].Envelope [708]. enveloping [1081].environment [573]. epidemic [1040].equality [1100, 1153]. equally [1219].equation[2, 4, 28, 30, 79, 85, 91, 93, 96, 95, 98, 123, 124,

10

132, 133, 169, 194, 202, 240, 254, 264, 284,295, 500, 317, 324, 341, 346, 348, 352, 366,367, 377, 383, 378, 398, 401, 411, 419, 425,452, 463, 467, 516, 521, 540, 558, 560, 562, 563,573, 592, 598, 606, 610, 615, 618, 617, 632, 639,651, 663, 674, 685, 691, 692, 697, 749, 760, 763,769, 770, 779, 790, 796, 797, 825, 835, 836, 856,854, 874, 912, 909, 927, 930, 971, 986, 987, 996,995, 994, 1001, 1009, 1020, 1026, 1036, 1044].equation[1059, 1070, 1083, 1096, 1112, 1113, 1146,1156, 1160, 1166, 1164, 1165, 1168, 1177,1227, 1230, 1303, 1306, 1320, 1318, 1319,1349, 1350, 1355, 1425, 1468, 1463, 1474, 1485,1489, 1499, 1516, 1515, 1520, 1545, 1546].Equations[16, 902, 6, 8, 26, 40, 42, 49, 71, 72, 78, 94, 92,99, 101, 102, 106, 110, 111, 117, 119, 121, 129,143, 144, 145, 146, 147, 135, 149, 174, 175,178, 181, 183, 187, 190, 193, 195, 194, 197,199, 203, 217, 224, 225, 229, 230, 244, 263,275, 282, 281, 285, 283, 287, 290, 291, 308,315, 321, 331, 356, 364, 363, 362, 368, 388,389, 380, 395, 399, 442, 454, 455, 466, 481, 483,488, 492, 497, 511, 524, 545, 547, 564, 569, 575,576, 578, 579, 601, 620, 623, 625, 626, 635].equations[638, 655, 658, 666, 671, 673, 708, 724, 738,739, 737, 741, 756, 758, 759, 764, 766, 765,771, 777, 789, 795, 803, 816, 818, 830, 829,827, 842, 849, 864, 876, 877, 893, 896, 900,903, 906, 914, 913, 915, 922, 921, 924, 938,936, 937, 941, 939, 943, 947, 955, 954, 956,957, 960, 967, 968, 974, 981, 988, 993, 997,998, 1013, 1017, 1022, 1019, 1027, 1037, 1035,1050, 1051, 1052, 1053, 1054, 1058, 1062,1063, 1073, 1074, 1075, 1076, 1077, 1097, 1098,1107, 1108, 1110, 1117, 1137, 1140, 1141, 1143,1142, 1152, 1154, 1163, 1167, 1173, 1175].equations[1190, 1214, 1215, 1216, 1217, 1225, 1241,1249, 1263, 1267, 1269, 1271, 1277, 1291,1301, 1302, 1304, 1308, 1309, 1325, 1327,1333, 1338, 1341, 1348, 1352, 1359, 1356, 1357,

1358, 1365, 1366, 1372, 1375, 1374, 1379, 1403,1418, 1421, 1424, 1436, 1464, 1471, 1466, 1476,1480, 1491, 1492, 1503, 1505, 1507, 1521, 1534,1544, 1548, 872, 1407, 1446, 1443, 1442, 768].equidistributing [1518]. equidistribution[353]. equilateral [867]. equilibrated[448, 1177]. equilibria [1325]. Equilibrium[1314, 31, 148, 562, 1005]. equispaced[97, 548, 652]. Equivalence[1210, 1511, 1512]. Errata [426, 549, 1076].Erratum[46, 578, 811, 1024, 1377, 1510, 243]. Error[34, 53, 54, 109, 129, 231, 271, 329, 377, 411,585, 606, 671, 908, 958, 987, 1031, 1139, 1183,1192, 1193, 1222, 1259, 1267, 1290, 1317, 1320,1339, 1388, 1460, 18, 20, 22, 19, 23, 74, 79, 80,99, 132, 138, 140, 155, 171, 189, 195, 196, 197,221, 264, 267, 265, 302, 319, 322, 341, 347,391, 387, 380, 447, 448, 475, 493, 499, 511, 528,529, 531, 534, 538, 574, 590, 640, 641, 681, 699,696, 697, 714, 756, 768, 772, 813, 819, 842, 844,864, 914, 913, 936, 937, 943, 944, 953, 962].error [963, 964, 970, 974, 975, 976, 977, 979,982, 983, 1004, 1009, 1028, 1039, 1063, 1091,1101, 1110, 1113, 1177, 1191, 1194, 1198,1205, 1213, 1258, 1269, 1276, 1302, 1337,1342, 1378, 1413, 1452, 1467, 1473, 1506,1499, 1527, 1544, 486, 1445, 1439, 162].Errors[1449, 1086, 1130, 1223, 1457, 1525, 1528].essential [1088]. estimate [197, 309, 391,528, 590, 975, 1016, 1028, 1452, 1527, 1544].Estimates[177, 53, 54, 74, 80, 99, 144, 146, 162, 171, 231,239, 292, 302, 322, 341, 377, 380, 411, 475,529, 606, 640, 671, 672, 699, 714, 756, 768,772, 813, 938, 936, 937, 944, 953, 958, 963,964, 974, 976, 977, 1039, 1063, 1121, 1139,1205, 1213, 1267, 1296, 1302, 1307, 1320,1342, 1378, 1388, 1413, 1425, 1466, 1506, 486].Estimating [665]. estimation[34, 52, 74, 221, 261, 319, 534, 538, 912, 979,982, 983, 1022, 1101]. estimator[267, 447, 448, 1177]. estimators [344, 943].

11

Euler [705, 777, 803, 990, 1013, 1107, 1170,1173, 1469]. Euler-type [1107]. Eulerian[1464, 1466]. Evaluation[461, 93, 163, 165, 235, 342, 449, 502, 700,837, 919, 1170, 1188, 1193, 1284]. evolution[40, 49, 128, 149, 500, 799, 827, 1112, 1113].evolutionary [511, 561]. evolving[568, 569, 593, 1054]. Exact[841, 1284, 405, 951, 1308, 1327]. exactly[1207]. exactness [276]. example [1529].exchange [411]. Existence[634, 435, 914, 1252]. expansion[652, 975, 1031, 1145, 1463].expansion-contraction [1145].expansions [12, 889, 890, 1110, 1300].Expected [646]. experiments [170].Explicit [1517, 1533, 319, 749, 750, 819,1092, 1204, 1376, 1377]. exploration [1310].Exponential [828, 1321, 256, 313, 351, 429,620, 862, 880, 945, 1047, 1073, 1092, 1099,1123, 1122, 1152, 1341, 1342, 1349].exponential-fitting [429, 1349].Exponentially [693, 390, 725, 1350, 1395].exponentially-fitted [1350]. exponentials[1482]. expressed [39]. extended[657, 1437]. extensible [1329]. extension[582, 1419, 1514, 487]. extensions[648, 1139]. exterior[129, 276, 311, 450, 603, 618]. external[1270]. extrapolation[553, 616, 839, 899, 980, 1026, 1204, 1267,1331, 1332, 1345, 1460].

Faber [1218]. fabrication [787, 786]. face[576]. factor [1064]. factorization[226, 359, 365, 422, 549, 554, 552, 1275, 947,1298, 489]. factorization-related [947].factorizations [722]. factors[833, 1271, 1382, 1538]. Falk [1527]. falling[26]. Families [535, 1491]. family[21, 917, 985, 1189, 1455, 1466, 1539, 1540].far [905]. Fast [163, 165, 235, 604, 707, 821,1172, 1426, 1462, 1498, 106, 168, 704, 785,870, 919, 988, 1185, 1234, 1266, 1401].

features [31, 859]. Feedback [755]. Fejer[582, 583]. Fem [1067, 5, 52, 124, 273, 322,337, 334, 335, 574, 675, 1122, 1321, 1499].Fermi [30]. ferromagnetic [1361]. FETI[1422]. few [931]. FFT [785, 1229].FFT-based [785]. FFTRR [704].FFTRR-based [704]. Fickian [161].fictitious [1147]. fidelity [587]. Fiedler[491]. field [151, 202, 239, 391, 411, 594, 586,944, 953, 1388]. fields[450, 630, 715, 905, 1082]. Fife [953].filament [1367]. fill [549, 554]. film[26, 137]. Filon [1510, 529, 1463, 1509].Filon-type [1510, 1463, 1509]. filters [1398].finance [823]. Finding[508, 1000, 1073, 491]. Finite[28, 76, 147, 148, 142, 139, 141, 161, 172, 210,272, 310, 354, 493, 568, 586, 592, 678, 688,714, 718, 736, 812, 831, 902, 932, 996, 994,1056, 1157, 1174, 1182, 1297, 1323, 1392,1391, 3, 18, 21, 22, 19, 23, 34, 48, 49, 51, 53,72, 73, 75, 77, 79, 80, 98, 99, 100, 105, 110,123, 129, 130, 132, 143, 144, 145, 146, 135,134, 138, 140, 137, 153, 164, 169, 171, 179,183, 182, 185, 193, 192, 203, 205, 204, 222,224, 249, 252, 253, 257, 265, 303, 309, 340].finite[338, 336, 339, 346, 348, 349, 350, 356, 355,371, 372, 377, 391, 379, 400, 404, 407, 413,420, 431, 455, 468, 474, 492, 502, 516, 520,543, 545, 547, 563, 564, 571, 577, 576, 582, 588,590, 595, 591, 605, 606, 607, 610, 609, 613, 624,623, 625, 638, 640, 656, 662, 670, 679, 682, 684,685, 689, 699, 698, 697, 733, 791, 793, 802, 805,806, 807, 835, 836, 843, 844, 847, 853, 883, 906,907, 908, 910, 916, 922, 921, 926, 942, 944, 948,949, 950, 956, 960, 972, 974, 982, 989, 991].finite[1004, 1011, 1015, 1014, 1021, 1023, 1026,1029, 1047, 1049, 1055, 1068, 1066, 1065, 1082,1083, 1089, 1116, 1117, 1123, 1124, 1121, 1130,1135, 1136, 1137, 1146, 1160, 1164, 1168, 1176,1178, 1180, 1187, 1190, 1197, 1207, 1212, 1215,1216, 501, 1230, 1243, 1244, 1269, 1277, 1282,

12

1281, 1289, 1291, 1292, 1294, 1295, 1305, 1315,1320, 1328, 1329, 1339, 1347, 1353, 1368, 1378,1388, 1389, 1394, 1413, 1415, 1422, 1451, 1456,1458, 1468, 1469, 1476, 1485, 1501, 1508, 1524,1525, 1526, 1527, 1537, 1540, 1549, 464, 786].Finite-difference[272, 1323, 3, 222, 371, 372, 613, 835, 922,921, 1068, 1066, 1065, 1146, 1164, 1388, 1458].finite-dimensional [407, 948, 786].Finite-element [76, 147, 148, 161, 714, 718,996, 994, 1174, 1392, 1391, 22, 48, 53, 77,129, 143, 144, 145, 146, 135, 134, 137, 171,185, 193, 252, 253, 303, 309, 391, 400, 492,543, 571, 590, 591, 625, 689, 802, 806, 844,907, 944, 950, 956, 989, 991, 1004, 1015, 1049,1135, 1137, 1178, 1197, 1230, 1244, 1292,1328, 1329, 1353, 1378, 1415, 1422, 1476].finite-element-based [123]. finite-part[502, 520, 595, 1014, 1394, 1501].finite-range [1021]. Finite-volume[354, 51, 253, 356, 355, 400, 420, 543, 545,607, 679, 853, 1168, 1525].Finite-volume-element [210]. First [1381,13, 178, 235, 283, 284, 336, 339, 369, 578,579, 737, 884, 1031, 1052, 1107, 1357, 1358].first-kind [284]. First-order[1381, 13, 336, 339, 578, 579, 884, 1031]. fits[134]. Fitted [145, 559, 13, 853, 1350, 1468].fitting[429, 443, 446, 457, 478, 518, 519, 1349].fixed [493, 1130, 1376, 1377, 1447]. Fletcher[29, 469]. Flexible [459, 395]. floating[637, 832]. floating-point [637]. flow[21, 34, 152, 156, 188, 242, 243, 266, 386, 417,570, 572, 589, 610, 639, 645, 676, 677, 689,690, 792, 831, 934, 940, 999, 1023, 1182,1321, 1450]. flow-box [677]. flow-erratum[243]. flows [27, 26, 150, 196, 385, 431, 597,704, 978, 1049, 1322]. fluid [34, 76, 570, 640,641, 678, 689, 690, 1289, 1450].fluid-structure [641, 678, 1289]. fluidized[405]. fluids [197, 831]. flux [133, 144, 146,392, 686, 846, 865, 976, 1264, 1378]. fluxes[1121, 1177]. Fock [957]. forces [137]. form

[84, 275, 556, 805, 833, 1049]. formal [41].formalism [401]. forms [369]. formula[97, 479, 1401, 1444, 1501]. formulae[345, 495, 520, 535, 536, 537, 649, 789, 841,1071, 1114, 1222, 1265, 1278, 1375, 1374].formulas[127, 299, 325, 657, 958, 1196, 1402].formulation[42, 155, 190, 207, 229, 275, 314, 347, 590,586, 678, 1116, 1185, 1243, 1458].formulations [153, 240, 448, 557, 681, 779].forth [573]. Fortin [19]. forward[1130, 1142]. Four [1359, 1336, 1349].four-step [1349]. Fourier[467, 636, 807, 886, 889, 1008, 1062, 1095,1170, 1227, 1300, 1362, 1401].Fourier-finite-element [807].Fourier-series [467]. Fourth[222, 371, 379, 545, 650, 696, 718, 745, 1077,1125, 1350, 1360]. Fourth-order[222, 371, 379, 545, 650, 696, 718, 745, 1077,1125, 1360]. Fox [56, 550]. fractal [410].fractals [10]. Fractional [1052, 83, 227, 228,298, 324, 686, 762, 908, 932, 936, 937, 995,1003, 1113, 1165, 1167, 1389].fractional-order [1113]. fractional-step[936, 937]. fractions [235, 461]. fracture[266]. fractured [266]. frame [466, 1380].framework [794]. Francis [723]. Fredholm[94, 178, 286, 451, 915, 1098]. free[7, 22, 223, 393, 432, 494, 575, 630, 656, 730,776, 851, 1019, 1023, 1038, 1080, 1161, 1195,1207, 1243, 1281, 1490, 1533].free-boundary [7]. frequencies [280].frequency [126, 526, 817].frequency-independent [817]. frictional[131]. frictionless [17]. friendly [1345].front [1015]. front-tracking [1015]. Full[16, 264, 1297]. full-discretization [264].Fully [1, 127, 564, 425, 802, 836, 846, 937,978, 1074, 1111, 1532, 486]. function[190, 235, 296, 342, 440, 479, 652, 653, 667,707, 880, 945, 951, 1003, 1138, 1226, 1234,1259, 1402, 1506]. function-evaluation

13

[342]. functional [204, 287, 315, 635, 1548].functionals [556, 1128, 1250]. functions[41, 163, 261, 279, 360, 394, 459, 460, 496,495, 503, 518, 599, 665, 725, 731, 747, 753,778, 837, 869, 894, 1003, 1033, 1038, 1060,1085, 1161, 1162, 1188, 1195, 1222, 1234,1279, 1310, 1334, 1345, 1444, 1477, 1479].fundamental [830, 933, 1242]. furnace[185]. Further [15, 178, 1191, 1433].

Galerkin[1165, 13, 22, 40, 42, 72, 85, 94, 99, 106, 109,120, 136, 155, 181, 203, 212, 274, 275, 283,304, 311, 326, 330, 362, 367, 389, 386, 378,394, 398, 409, 410, 418, 431, 447, 475, 517,528, 531, 571, 601, 616, 639, 661, 680, 699,698, 695, 696, 738, 756, 761, 843, 842, 844,854, 915, 926, 935, 970, 974, 975, 993, 995,1017, 1029, 1058, 1063, 1084, 1125, 1135,1158, 1160, 1167, 1172, 1184, 1212, 1215, 1216,1238, 1255, 1256, 1291, 1316, 1318, 1321, 1359,1357, 1358, 1364, 1372, 1425, 1461, 1475].Galerkin-Chebyshev [1017].Galerkin-finite [72]. Galerkin-like [1316].games [231]. gamma [235]. GAOR [1472].gas [717]. gauge [401]. Gauss[219, 306, 619, 833, 1139, 1196, 1250, 1375,1374, 1401, 1426, 1484]. Gauss-type[1375, 1374]. Gaussian [89, 152, 332, 715,1099, 1105, 1138, 1194, 1222, 1383, 1428].general [249, 305, 388, 399, 514, 530, 545,556, 608, 856, 864, 1226, 1263, 1281].general-order [1226]. generalization[364, 434, 454, 895]. Generalized[288, 520, 611, 875, 969, 1041, 1474, 197, 199,664, 732, 871, 927, 958, 1021, 1144, 1207].generated [325]. generates [711].generating [360]. generation [755, 1518].generator [1061]. genesis [723]. Geodesic[1295, 1288]. geodesics [1447]. Geometric[285, 766, 849, 14, 149, 582, 763, 1322].Geometrically [1114, 274]. geometries[988]. Geometry [432, 814, 1447]. Gevrey[1046]. Gilbert [123, 124, 560]. given [606].

Givens [527]. gives [510]. Global [108, 284,319, 534, 538, 819, 839, 1342, 1417, 1457, 29,664, 710, 829, 861, 924, 979, 1536, 1493].globally [159, 838]. GMRES [112, 1412].GMWB [860]. Golub [1078]. good [1101].Gordon [401, 1424]. Gottlieb [1236].governing [1468]. graded [563]. Gradient[258, 266, 544, 989, 31, 45, 50, 81, 111, 150,160, 215, 385, 447, 471, 472, 783, 895, 1011,1087, 1182, 1261, 1268, 1351, 1454, 1500,1536]. gradient-like [31, 385].gradient-multigrid [1454]. gradients[460]. grading [73, 683]. Gram [711].graph [820]. Graphs [1281]. grid [164, 187,353, 599, 755, 838, 1034, 1068, 1272, 609].grids [80, 558, 656, 747, 778, 1024]. Gross[566, 691]. groundwater [1023]. group[604, 1511]. groups [754, 1344, 1465].growing [1065]. growth [329]. GSVD[207]. Guaranteed [1276, 1452, 448, 860].guard [1192]. Gupta [467]. Gurtin [262].gyrokinetic [203]. gyrokinetic-waterbag[203].

h [816]. h-p [816]. Hadamard[502, 595, 1014, 1394]. half [1204, 1356].half-explicit [1204]. half-line [1356].Hamilton [272, 290, 902, 1137].Hamiltonian [424, 526, 1007, 1035].Hammerstein [673, 981]. hand[1393, 1412]. Handling [458, 464]. hanging[22]. Hankel [407, 881]. Hardy [1402].harmonic [448, 688, 1274]. Hartree [957].having [442]. HDG[380, 416, 417, 452, 1263, 388]. heat[18, 194, 253, 377, 971]. Heath [973]. Hele[590]. Helmholtz[126, 240, 383, 452, 667, 1160, 1366, 1499].hemivariational [462]. Hermite[88, 521, 619, 691, 1290, 1435].Hermite-type [521]. Hermitian [115, 660].Hessian [663, 1495]. Hessians [403].Heston [38]. Heterogeneous[280, 1, 514, 608, 1300]. hexagons [733].

14

hexahedral [182]. Hierarchical[126, 331, 292, 1070]. High[240, 320, 373, 374, 488, 536, 537, 1074, 1146,1180, 1508, 1532, 12, 126, 224, 233, 261, 682,782, 799, 809, 866, 867, 889, 890, 1392, 1391,1499, 1498]. High-accuracy [373, 374].High-dimensional [1508]. high-frequency[126]. High-order[240, 488, 536, 537, 1074, 1146, 1180, 1532,224, 233, 682, 799, 809, 1392, 1391, 1498].Higher[960, 162, 1295, 1330, 1455, 1526, 1446].Higher-order [960, 162, 1330, 1526, 1446].highly [280, 286, 424, 526, 529, 886, 887,1024, 1195, 1463, 1509, 1510].highly-oscillating [886, 887]. Hilbert[719, 1129, 1283, 1417, 1428]. Hilliard[994, 85, 141, 516, 742, 1168]. Hodge[229, 667]. HODIE [413]. hodograph[627, 629]. Holm [1474]. holomorphic[423]. homoclinic [209, 659, 1296, 1312].homogeneous [651]. homogenization[526]. homogenized [573]. homotopy[406, 497]. Hopf [370, 739, 748, 1097].Householder [1427]. hp [21, 201, 572, 778,844, 1321, 1423, 1544, 698, 574, 1322].hp-adaptive [1544]. hp-approximations[1423]. hp-DGFEM [1322]. hp-FEM[1321, 574]. hp-finite [21]. hp-functions[778]. hp-version [201, 844, 698]. human[14]. Hybrid [450, 647, 1075, 1076, 1145,1289, 266, 571, 572, 608, 1326].hybrid-dimensional [266]. hybridizable[531]. hyper [634]. hyper-singular [634].Hyperbolic[651, 213, 357, 397, 430, 532, 543, 606, 876,900, 921, 1291, 1368, 1376, 1377, 1420].hyperbolics [884]. hypercube [359].hyperelastic [1337]. hyperinterpolation[797]. hypersingular [331, 366, 398, 816].hysteresis [1453].

identification [1080]. II[12, 103, 135, 431, 538, 591, 701, 744, 787,

882, 887, 1256, 1322, 1332, 1375, 1392, 1456].III [890, 1043]. ill [104, 1395].ill-conditioned [104, 1395]. IMA[374, 537, 578, 1076, 1377, 1510, 426]. image[587]. immersed [857]. impact[456, 1252, 1273]. impedance [688, 910].implementation [11, 112, 899, 1266].Implicit[350, 1365, 1458, 27, 26, 116, 183, 197, 213,298, 305, 308, 320, 323, 345, 411, 438, 437,492, 588, 655, 708, 803, 840, 903, 1053, 1164,1205, 1299, 1301, 1336, 1404, 1469].implicitly [1118]. implies [1387].imposition [223]. Improved[1486, 122, 140, 1514, 1438]. improvement[243, 320, 947]. Improving [101, 1441, 980].including [77]. inclusion [276, 584].inclusions [1131]. incompatible [645].incomplete [1210]. incompressible[21, 78, 196, 197, 223, 597, 641, 704, 777, 792,803, 829, 991, 1013, 1049, 1263, 1322, 1365].indefinite [552, 1275, 1087, 1100, 1379].indenting [142]. independent [715, 817].Index [57, 59, 61, 64, 66, 68, 415, 955, 998,1204, 1325, 1340]. indicator [189, 696, 842].induction [185, 960, 1025]. industry [757].inequalities [45, 108, 153, 204, 523, 736,812, 975, 1221, 1231, 1405]. inequality[387, 462, 588, 590, 718, 834]. Inertial [1446].Inexact [215, 226, 29, 82, 381, 660, 1496].inextensible [156, 158]. Inf [991, 1104].Inf-sup [991, 1104]. infinite[407, 765, 1086, 1309, 1345, 1352].infinite-dimensional [1352]. infinitely[1226]. inflation [1337]. inhomogeneous[620, 908, 1381]. initial [37, 249, 341, 397,709, 863, 896, 1455, 1507, 1445, 1439, 1440].initial- [249]. initial-value [1455, 1440].input [184]. instability [1351, 1387].Instance [972]. integral[89, 94, 92, 96, 174, 178, 202, 206, 239, 240,281, 285, 283, 286, 284, 315, 325, 331, 364, 363,362, 366, 383, 398, 451, 454, 483, 521, 523, 598,634, 673, 700, 738, 737, 759, 779, 816, 854, 874,

15

893, 915, 968, 992, 998, 1001, 1009, 1051, 1052,1096, 1098, 1107, 1110, 1185, 1241, 1271, 1304,1308, 1333, 1359, 1356, 1357, 1358, 1375, 1374,1379, 1463, 1486, 1492, 1520, 1407, 1443].integrals [235, 369, 449, 502, 520, 529, 556,595, 837, 841, 886, 887, 1014, 1108, 1239,1345, 1394, 1501]. integrating [37].integration[11, 175, 324, 329, 345, 515, 562, 680, 694,721, 739, 783, 930, 957, 973, 1114, 1195, 1330].integrator [124, 553]. integrators[238, 313, 320, 424, 784, 815, 839, 1002, 1007,1006, 1047, 1109, 1184, 1335, 1404, 1431].integro [106, 658, 674, 849, 995, 1063, 1075,1076, 1166, 1215, 1217, 1269, 1291, 1403,1492, 1534]. integro-differential[106, 658, 674, 849, 995, 1063, 1075, 1076,1166, 1215, 1269, 1291, 1403, 1492].integrodifferential [121, 282].integroparabolic [4]. intensities [184].interaction[76, 640, 641, 678, 847, 1021, 1504].interactions [90]. interest [973]. interface[303, 310, 531, 682, 857, 870, 1057, 1353].interfaces [145, 266, 593, 608, 1289].Interior [303, 756, 267, 302, 639, 699, 698,722, 760, 861, 905].Interior-penalty-stabilized [303].interlocking [422]. intermediate [1540].interpolant [296, 505]. interpolants[744, 1090, 1096, 1097, 1209, 1234, 1363].interpolate [880]. interpolated [377].interpolating [36, 1219, 1435].Interpolation[251, 289, 309, 478, 1039, 1344, 74, 87, 97,164, 259, 279, 294, 343, 382, 432, 433, 476,504, 503, 506, 567, 628, 627, 630, 633, 650,652, 726, 746, 824, 918, 928, 1003, 1079, 1093,1127, 1183, 1211, 1257, 1290, 1370, 1506].interpolations [1541]. Interpolatory[1394, 167, 754, 1511]. interval[412, 496, 914, 1014, 1437]. introduced[882]. introduction [1061]. invariant[264, 1397]. inverse [384, 406, 613, 632, 634,

660, 736, 1118, 1280, 1354]. inverse-type[736]. inverses [965, 1434]. Inversion[546, 735, 277, 1169, 1283]. inverting [1179].investigation [1043]. involutive[1030, 1430]. involved [549, 554]. Involving[821, 555, 1103]. IRK [664]. irregular[1173, 887]. irreversible [488]. isoclinal[1106]. Isogeometric [268, 269]. isolated[30]. Isoparametric [48, 662, 277, 629].isothermal [944]. Isotropic [902]. Iterated[738, 281, 881, 1260]. iterates [320].iteration [115, 114, 157, 438, 635, 657, 660,737, 868, 997, 1008, 1118, 1400, 1445].iterations [1025, 1351]. Iterative[440, 578, 579, 822, 911, 1343, 490, 84, 86,168, 180, 443, 597, 718, 773, 947, 961, 1172,1306, 1450, 1522, 1523]. iteratively [219].IV [866].

J [374, 426, 537, 578, 1076, 1377]. Jacobi[902, 1137, 272, 290, 542, 1428]. Jacobi/elliptic [272]. Jacobian [456]. Jarrow[973]. John [723]. Jordan [25, 583].Journal [1510]. jump [512]. jumps [1542].

Kamel [818]. Kantorovich [774, 1465].Keller [205, 1292]. kernel [463, 521, 1166,1283, 1304, 1357, 1358, 1463, 1515]. kernels[251, 282, 364, 1105, 1403]. kind[33, 94, 174, 178, 235, 283, 284, 738, 737, 854,915, 1052, 1098, 1107, 1222, 1359, 1357, 1358,1407, 1443]. kinetic [230, 1421]. Kirchhoff[127]. Klein [401, 1424]. knots[548, 851, 1038, 1161, 1219]. Kolmogorov[423]. Korteweg [705, 836, 986, 1318].Kronrod [1139]. Krylov [633, 1118, 1236].Kublanovskaya [723]. Kuramoto[4, 26, 1044]. Kuramoto-Sakaguchi [4].Kutta[535, 536, 537, 1336, 119, 174, 298, 307, 319,320, 323, 345, 438, 434, 435, 436, 437, 534,538, 569, 750, 788, 819, 848, 855, 879, 979,1035, 1092, 1184, 1205, 1301, 1314, 1325, 1350,1376, 1377, 1455, 1487, 1534, 872, 1443, 1437].

16

Kutta-type [1035].

L [1055]. L-shaped [1055]. L. [56]. L.M.F.[361]. L.M.F.-based [361]. l.s.d [1433].Lagrange [120, 303, 824, 1255, 1256, 1435].Lagrangian [181, 1262, 1464, 1466].Lagrangians [648, 999]. Laguerre[1232, 1097, 1474]. Lambert [1299]. Lame[1177]. laminar [934]. Lanczos [869, 1220].Landau [560, 123, 124, 411]. Langevin[962, 1005, 1143]. Langevin-type [1143].LAPACK [822]. Laplace [91, 304, 540, 632,1112, 1113, 1283, 1338, 1366]. Laplacian[51, 169, 229, 1179, 501]. large[600, 729, 906, 907, 1019, 1078, 1120, 1119,1220, 1348, 1542]. large-scale[600, 729, 1019, 1119, 1348]. large-time[907]. later [723]. lattice [321, 401, 1061].Laurent [1095]. law [264]. laws[357, 410, 439, 810, 811, 846, 1323, 1339,1368, 1420, 1532]. Lawson [37]. Lax[1045, 1419]. Layer [1032, 1423].Layer-adapted [1032]. layers [1123]. LBB[762]. LCP [861]. leading [1223, 1432].leapfrog [875]. Least [445, 509, 1136, 1538,104, 173, 257, 359, 412, 442, 446, 457, 647,1038, 1078, 1100, 1144, 1202, 1201, 1313,1321, 1381, 1393, 1488, 1530]. Least-change[1538]. Least-squares[445, 104, 257, 359, 412, 446, 457, 1313, 1393].Lebesgue [780, 1406]. leg [763]. Legendre[785, 1017, 1232, 1096, 1226].Legendre-Laguerre [1232]. Leja [1406].Leslie [550]. level [384, 415, 605, 610, 900,935, 1117, 1340, 1405, 1516]. level-index[415, 1340]. Levy [1401]. lexicographic[833]. library [1188]. Lie[351, 511, 754, 1109, 1465, 1511].Lie-algebraic [351]. Lifschitz [560].Lifshitz [123, 124, 411]. like[31, 385, 821, 1017, 1018, 82, 882, 1316].limited [458]. limiting [725, 865]. limits[296]. Lindelof [868]. line[29, 363, 393, 1356, 1426]. Linear

[348, 732, 1102, 1387, 1439, 17, 35, 37, 45, 49,55, 54, 84, 96, 104, 106, 113, 111, 114, 124,128, 153, 164, 180, 248, 500, 305, 311, 336,350, 359, 387, 389, 379, 378, 397, 412, 441,442, 461, 471, 481, 503, 530, 533, 540, 567, 597,664, 666, 680, 713, 719, 734, 740, 761, 804, 822,827, 828, 844, 861, 856, 864, 876, 899, 925, 936,961, 997, 1011, 1029, 1032, 1038, 1050, 1052,1053, 1069, 1078, 1082, 1086, 1125, 1128, 1130,1142, 1189, 1201, 1223, 1231, 1245, 1250, 1272,1309, 1313, 1341, 1360, 1361, 1393, 1430].linear[1473, 1469, 1477, 1478, 1480, 1485, 1499,1508, 1515, 1519, 1529, 1537, 1546, 873, 1043].Linearization [39, 1435, 1365]. linearized[994]. Linearly[27, 26, 1053, 1299, 131, 298, 1205, 1404].lines [1548]. linogram [1240]. Lions[349, 1057]. Liouville[214, 247, 613, 665, 703, 745, 839, 1259].Lipschitz [9, 753]. Lissajous [236]. loading[229]. Lobatto [1375].Lobatto-Chebyshev [1375]. Local[16, 87, 473, 642, 643, 1104, 1370, 1488, 1506,78, 173, 259, 284, 292, 311, 330, 378, 511,517, 574, 861, 920, 943, 1115, 1125].Locality [652]. Localization [614].Localized [179, 976, 832, 1464]. locally[22, 601, 753, 778, 1452]. locating [41].location [480, 1253]. Locking [1329, 1490].Locking-free [1490]. locus [118].logarithm [604]. logarithmic[1304, 1357, 1358]. logarithmic-kernel[1304]. logging [1297]. Long[661, 692, 1329]. Long-time [661, 692]. loss[637]. Low[705, 1239, 1294, 34, 78, 126, 474, 1026]. low-[126]. Low-order [1239, 1294, 34, 78, 474].lower [1347, 1547]. lowers [1481]. lowest[530]. lowest-order [530]. lumped [1178].Lyapunov [790, 1118, 1352, 1457]. Lyness[41].

m [250]. m-DDFV [250]. MAC [714].

17

MacCamy [262]. Mach [705]. Maclaurin[1170]. macroelement [269]. magnetic[960]. magnetodynamic [448].magnetostriction [124]. Magnus [1002].majorant [642, 643]. MALA [237].manifold [390, 1512]. manifold-based[390]. manifold-valued [1512]. manifolds[14, 116, 478, 498, 643, 753, 885, 920, 1016,1042, 1151, 1174, 1241, 1446]. many [633].map [125]. mapping [358, 669, 959, 1009].mappings [423, 581, 1354, 1465]. maps[1088]. marching [1266]. Markov[421, 997]. Maruyama [990, 1173]. Mason[1211]. mass [85, 668, 686, 1036, 1178, 1475].mass-preserving [1036]. matching [349].material [786]. materials [131, 1361].matrices [25, 100, 177, 254, 364, 375, 384,396, 406, 445, 552, 1275, 634, 735, 782, 852,888, 1061, 1106, 1248, 1383, 1434, 1447, 1448,1472, 1483, 1497, 1517, 489, 491]. Matrix[376, 546, 1120, 15, 32, 39, 113, 126, 139, 226,234, 266, 351, 456, 549, 554, 634, 635, 672,701, 727, 770, 825, 823, 869, 901, 914, 913,967, 1025, 1126, 1258, 1262, 1280, 1334, 1354,1435, 1475, 1481, 1493, 1545, 1546, 1547].matrix-fracture [266]. matrix-inverse[1354]. maximal [299]. Maximum[963, 1113, 1278, 622, 1535].Maximum-norm [1113]. Maxwell[221, 224, 244, 401, 448, 564, 688, 756, 993].Mean [378, 594, 589, 610, 639, 978, 1388].Mean-square [378]. means [52, 1271].measurements [176]. mechanical [280].media [188, 224, 266, 689, 690, 993].medium [1001]. Medius [336]. Mellin[1267]. membrane [142]. membranes[170, 1337]. memory [458, 765, 1527]. Mesh[1494, 13, 73, 414, 557, 559, 575, 763, 772,1029, 1066, 1115, 1543]. mesh-free [575].meshes [22, 143, 201, 225, 252, 265, 274, 285,349, 382, 388, 514, 563, 602, 607, 608, 736,849, 982, 983, 991, 1032, 1039, 1056, 1134,1263, 1285, 1322, 1328, 1390, 1423, 1459,1500, 1518, 1524, 1525, 1526]. Meshing [50].

metastable [333, 1395]. Method[16, 1, 3, 6, 7, 14, 29, 73, 77, 78, 81, 94, 92, 102,103, 107, 108, 118, 120, 116, 143, 135, 134,169, 171, 183, 185, 186, 191, 199, 201, 207,210, 213, 212, 214, 218, 219, 223, 244, 246,249, 255, 267, 500, 302, 304, 314, 340, 353,358, 367, 371, 372, 381, 376, 389, 380, 386, 379,378, 393, 398, 399, 404, 406, 409, 410, 416, 440,454, 458, 469, 471, 472, 470, 474, 483, 492, 498,516, 521, 530, 531, 539, 540, 543, 547, 564, 571,572, 575, 577, 580, 583, 584, 585, 600, 601].method[603, 605, 612, 611, 615, 618, 617, 624, 623,625, 626, 636, 638, 640, 642, 643, 656, 667,670, 672, 679, 680, 689, 691, 699, 702, 710,713, 719, 726, 730, 743, 748, 756, 760, 769,773, 774, 781, 791, 793, 796, 798, 802, 800, 806,807, 813, 816, 817, 818, 832, 835, 859, 857, 858,853, 860, 871, 895, 896, 899, 907, 910, 919, 926,927, 932, 933, 940, 944, 947, 949, 952, 959, 967,975, 977, 981, 988, 995, 998, 1004, 1009, 1015,1017, 1018, 1016, 1021, 1023, 1027, 1029, 1034,1055, 1057, 1059, 1058, 1062, 1069, 1072].method[1080, 1091, 1101, 1107, 1111, 1115, 1124,1125, 1135, 1145, 1147, 1154, 1160, 1166,1164, 1165, 1176, 1178, 1181, 1185, 1190,1199, 1200, 1204, 1207, 1212, 1214, 1218, 501,1225, 1228, 1235, 1236, 1238, 1242, 1254,1255, 1256, 1263, 1266, 1268, 1269, 1292,1294, 1305, 1320, 1338, 1345, 1350, 1353,1359, 1357, 1358, 1360, 1364, 1366, 1367, 1372,1386, 1390, 1389, 1401, 1405, 1456, 1471, 1468,1465, 1474, 1469, 1480, 1484, 1508, 1514, 1513,1516, 1515, 1523, 1524, 1536, 1543, 1548, 465].Methods[351, 546, 27, 33, 37, 41, 43, 45, 44, 72, 80, 82,84, 86, 90, 109, 113, 111, 115, 114, 117, 119,121, 128, 136, 145, 160, 163, 168, 173, 174,178, 179, 200, 203, 211, 215, 222, 224, 226,248, 253, 274, 280, 282, 285, 298, 303, 305,306, 307, 308, 310, 311, 319, 321, 320, 323, 324,326, 327, 329, 328, 330, 331, 336, 339, 352, 363,368, 373, 374, 377, 392, 385, 388, 394, 418, 417,

18

421, 426, 427, 429, 428, 438, 434, 435, 436, 437,443, 447, 452, 455, 460, 466, 482, 488, 497].methods[514, 524, 534, 538, 559, 578, 579, 581, 598,614, 616, 620, 632, 635, 638, 639, 647, 663,664, 669, 694, 698, 695, 704, 716, 722, 742,750, 764, 763, 777, 780, 787, 786, 808, 819,840, 844, 847, 848, 855, 856, 854, 863, 864, 883,875, 877, 879, 882, 885, 893, 908, 915, 916, 930,931, 934, 935, 950, 970, 972, 974, 986, 989, 992,996, 1001, 1019, 1024, 1037, 1035, 1044, 1048,1050, 1052, 1063, 1065, 1073, 1074, 1075, 1076,1077, 1084, 1087, 1089, 1092, 1098, 1102, 1106,1123, 1121, 1128, 1130, 1137, 1143, 1157].methods[1167, 1172, 1184, 1189, 1205, 1215, 1217,1239, 1247, 1259, 1277, 1286, 1291, 1297, 1299,1300, 1304, 1314, 1316, 1318, 1325, 1326, 1327,1330, 1331, 1332, 1336, 1343, 1348, 1349, 1356,1368, 1371, 1376, 1377, 1385, 1392, 1391, 1403,1413, 1417, 1436, 1450, 1455, 1460, 1464, 1472,1463, 1461, 1466, 1478, 1486, 1487, 1495, 1505,1498, 1509, 1510, 1525, 1526, 1528, 1533, 1537,1534, 1542, 1544, 512, 464, 490, 872, 1407,1443, 1437, 1438, 1439, 1442, 1440, 1441].methods-overcoming [808]. metric[45, 368, 1530]. MHD [803]. MHSS [114].micromagnetism [561]. mild [275].mild-weak [275]. mimetic [464]. mini[101]. mini-element [101]. minimal[109, 899, 1159]. minimax [481, 1093, 1545].minimization [157, 159, 178, 337, 472, 951,1246, 1324, 1414, 1417]. minimizers [1543].minimum [510, 860, 1293]. Mitchell [751].Mixed[190, 734, 1082, 1083, 1137, 1282, 1322, 5, 21,80, 120, 153, 183, 186, 191, 195, 229, 257,275, 314, 338, 346, 347, 514, 516, 543, 545,559, 571, 624, 623, 625, 638, 640, 673, 689,713, 940, 993, 1121, 1215, 1243, 1326].mixing [237]. mobility [139]. mode[90, 1504]. model[14, 38, 138, 139, 140, 185, 192, 188, 205, 220,232, 339, 350, 355, 391, 400, 405, 594, 586,

587, 686, 705, 944, 973, 1020, 1031, 1040, 1064,1066, 1082, 1216, 1297, 1361, 1388, 1527].modeled [43]. modeling [995]. modelling[24, 110, 462, 1292, 1337]. models[20, 154, 262, 420, 591, 700, 1274]. modes[814]. Modification [808, 612, 1078].modifications [1222]. modified[121, 390, 711, 724, 893, 899, 1027, 1028,1091, 1184, 1366, 1531, 1536, 1443, 889, 1507].Modulated [1300]. modulus [522].molecular [1005, 1431]. mollification [8].Mollifications [787]. Moment [229, 1195].Moment-free [1195]. Monge [98]. Mono[345]. Mono-implicit [345]. Monotone[1079, 113, 431, 755, 761, 1019, 1064, 1131].monotonic [463, 504, 505, 746, 1515].monotonicity [509]. Monotonous [30].monotony [580]. monotony-preserving[580]. Monte [721, 1072]. Morley[670, 1516]. Morse [385]. mortar[102, 103, 171, 189, 244, 806, 850, 858].mortaring [807]. Morton [973]. motion[1216]. moving [557, 590, 626, 838, 906, 907,1066, 1136, 1144, 1476, 1488].moving-boundary [590]. MR[374, 426, 537, 578, 1076, 1377]. Multi [399,1035, 26, 138, 139, 140, 220, 838, 957, 1339].multi-component [138, 139, 140, 220].multi-configuration [957].multi-dimensional [26, 1339]. multi-grid[838]. Multi-product [399].Multi-symplectic [1035].multicomponent [742].Multidimensional [1010, 626, 1256, 1310].multidomain [666, 1115]. multifacility[480]. Multigrid [416, 1371, 108, 596, 726,728, 833, 870, 1228, 1454, 1505, 1542].multigrid-type [726]. multilag [121, 893].Multilevel [100, 274, 630, 508, 1206, 1513].multiparameter [278]. multiphase [706].multiple [1, 172, 468, 848, 1122, 1393, 1514].Multiplicative [1258, 86, 974, 1036, 1047].multiplier [303]. multipliers [850].multiply [959]. multiply-connected [959].

19

multipole [1185]. multiprocessor [359].multiquadric [164, 633]. multiquadrics[294]. Multiscale[394, 1, 280, 846, 1300, 1498, 1508].multisplitting [113]. multistate [1020].Multistep[328, 827, 876, 885, 128, 248, 500, 329, 441,896, 1050, 1052, 1189, 1324, 1437, 1439].multivalue [308]. multivalued [1131].multivariate [443, 515, 694, 754, 890].Mysovskii [82].

Naghdi [192]. narrow [382, 492]. Natural[202, 122, 1273]. Navier[6, 16, 78, 101, 110, 162, 191, 187, 190, 625,636, 671, 768, 802, 829, 924, 1263, 1365].Near [1093, 1094, 1095, 1209, 1325].Near-best [1094, 1095, 1209].Near-minimax [1093]. nearest[234, 823, 1262]. nearly[638, 991, 1255, 1256]. nearness [32].negative [226, 247, 664]. Neumann[107, 125, 143, 147, 172, 239, 354, 617, 645,1088, 1141, 1423, 1467, 1489]. neutral[30, 295]. neutron [1072]. newest [683].Newton [14, 40, 82, 86, 112, 219, 234, 255,381, 498, 600, 611, 642, 643, 742, 774, 965,967, 997, 1016, 1014, 1027, 1154, 1471, 1465,1484, 1495, 1501, 1538, 1539, 1445].Newton-like [82].Newton-Mysovskii-type [82]. Newtonian[196, 197, 431]. Newtonlike [1528].NEWUOA [1246]. Nicolson [732, 1273].Nitsche [223, 806, 807]. no[374, 426, 525, 537, 549, 554, 578, 1076, 1377].no-fill [549, 554]. nodes[22, 299, 1375, 1374, 1426]. noise[974, 1036, 1047, 1152, 1469]. noisy[104, 599]. Non [245, 914, 1205, 9, 73, 96,161, 226, 311, 349, 528, 540, 576, 680, 861,913, 920, 997, 1026, 1027, 1053, 1057, 1063,1082, 1088, 1120, 1131, 1176, 1361, 1543].Non-autonomous [914]. non-conforming[73, 576, 1026, 1176]. non-Fickian [161].

non-interior [861]. non-linear[96, 311, 540, 680, 997, 1053, 1082, 1361].non-Lipschitz [9]. non-matching [349].non-monotone [1131]. non-negative [226].non-overlapping [1057]. non-periodic[120]. non-self-adjoint [1088].Non-smooth [1205, 920, 1543].non-standard [1063]. non-stationary[528]. non-symmetric [913, 1027, 1120].Non-variational [245]. Nonasymptotic[237]. Nonautonomous [248, 399, 856, 955].noncoercive [354]. noncompact[362, 1096]. Nonconforming[335, 1197, 19, 153, 327, 348, 388, 474, 608,917, 1135, 1276, 1390, 1516].nonconservative [1303]. nonconstant[871]. nonconvex [342, 942, 1417].nondefectivity [1448]. nondiscrete [1025].nonequilibrium [1005]. nonhomogeneous[618]. Nonlinear[1264, 486, 2, 18, 75, 92, 173, 188, 199, 377,392, 404, 433, 437, 439, 457, 459, 475, 485,511, 528, 562, 564, 566, 606, 615, 622, 624,635, 647, 674, 681, 687, 690, 692, 693, 743,749, 757, 797, 810, 811, 834, 835, 874, 877,899, 926, 925, 933, 941, 1019, 1023, 1043,1117, 1119, 1129, 1140, 1141, 1163, 1178,1212, 1249, 1303, 1319, 1362, 1397, 1424,1425, 1495, 1516, 1538, 1534, 1545].Nonlocal [10, 218]. nonmatching [80, 252].nonmonotone [393]. nonnegative[360, 453, 790]. nonnormality [206].Nonoverlapping [250, 1522]. nonperiodic[1219]. nonpolygonal [23]. nonpositive[458]. nonresidual [344]. Nonsimple[1373]. nonsingular [735]. nonsingularity[1448]. Nonsmooth [742, 753, 383, 460, 909,951, 952, 1496, 1507, 1529, 1407].nonstandard [759]. nonstationary[326, 1284]. nonstiff [1189]. nonsymmetric[771, 1020]. nonuniform [22, 414, 927, 929].nonunisolvent [343]. norm [389, 614, 756,797, 963, 1113, 1145, 1293, 1354]. normal[493, 852]. norms

20

[15, 83, 475, 701, 1287, 1493]. note[200, 257, 296, 417, 422, 549, 554, 698, 865,1018, 1285, 1302, 1403]. novel [1468].nuclear [400]. number[107, 177, 239, 626, 1499]. numbers [396].Numer [374, 426, 537, 578, 1076, 1377].numerator [503]. Numerical[24, 90, 131, 149, 154, 150, 176, 185, 184, 209,220, 227, 228, 315, 333, 346, 383, 392, 381, 419,421, 426, 427, 430, 449, 462, 594, 587, 593, 602,645, 659, 663, 668, 673, 677, 692, 703, 790, 825,837, 897, 912, 923, 948, 966, 967, 968, 973, 999,1044, 1140, 1237, 1271, 1375, 1374, 1395, 1453,1478, 1510, 10, 91, 93, 96, 95, 97, 98, 110, 170,175, 208, 214, 230, 232, 255, 254, 278, 281,288, 329, 345, 358, 364, 366, 385, 411, 424, 454,540, 559, 562, 584, 636, 644, 655, 669, 671].numerical[687, 702, 745, 750, 766, 765, 801, 824, 830,863, 871, 877, 886, 887, 914, 926, 986, 1002,1030, 1037, 1040, 1043, 1046, 1064, 1069,1075, 1076, 1098, 1110, 1113, 1114, 1126,1159, 1166, 1175, 1195, 1218, 1252, 1267,1283, 1296, 1308, 1312, 1313, 1318, 1319,1330, 1348, 1349, 1350, 1355, 1368, 1401,1429, 1430, 1454, 1457, 1498, 512, 1445, 1443].Numerically [722, 489, 570, 787, 786].numerics [573, 757]. Nystrom[483, 1096, 240, 535, 536, 537, 540, 739, 950,1097, 1254, 1336]. Nystrom-product [739].

O.D.E. [361]. observability [602].observation [32]. obstacle [335, 494].obstacles [1252]. obtain [1436]. obtaining[1199]. ODE [456, 1333, 1457]. ODEs[259, 600, 1189, 1331, 1332, 1533]. Oldroyd[1216]. One [1324, 1384, 133, 199, 255, 272,353, 389, 425, 475, 584, 602, 661, 679, 682,758, 763, 781, 906, 1000, 1002, 1020, 1065,1124, 1125, 1173, 1203, 1213, 1328, 1388].one-dimension [1388]. one-dimensional[255, 272, 353, 425, 602, 661, 679, 906, 1002,1020, 1065, 1173, 1328]. one-leg [763].One-shot [1384]. One-step

[1324, 584, 758, 781, 1000]. only [1529].open [1520]. operations [1192]. Operator[216, 1149, 102, 103, 225, 304, 362, 399, 409,466, 634, 670, 797, 794, 799, 930, 1096, 1148,1154, 1372]. operators[50, 102, 103, 201, 206, 227, 228, 239, 245,286, 402, 407, 451, 607, 621, 761, 850, 926,1012, 1102, 1134, 1270, 1380, 1385, 1428].optical [787, 786]. Optimal[136, 135, 134, 197, 233, 252, 261, 270, 312,513, 561, 683, 699, 721, 907, 974, 1028, 1279,1287, 1368, 1393, 1425, 487, 81, 162, 275,377, 381, 397, 468, 528, 756, 972, 1121, 1206,1265, 1483, 1525]. optimal-order [1525].Optimality [169, 46, 47, 675].optimization[45, 46, 47, 342, 432, 459, 470, 599, 743, 952,1247, 1310, 1384, 1465, 1496, 1529, 1531].option [1237, 1468]. options [853]. orbits[208, 209, 329, 659, 1150, 1325]. Order[298, 308, 428, 884, 501, 13, 22, 34, 37, 46, 47,55, 78, 85, 162, 210, 213, 222, 224, 233, 240,312, 320, 328, 336, 339, 371, 377, 389, 379,474, 488, 506, 514, 516, 530, 536, 537, 545,578, 579, 650, 661, 682, 696, 716, 718, 721, 745,760, 781, 782, 789, 799, 808, 809, 844, 845, 870,894, 896, 921, 935, 960, 980, 995, 1012, 1026,1031, 1045, 1067, 1074, 1077, 1079, 1113, 1125,1146, 1166, 1180, 1226, 1239, 1294, 1295, 1327,1330, 1350, 1360, 1381, 1392, 1391, 1455, 1501,1502, 1498, 1512, 1515, 1525, 1526, 1530].order [1532, 1541, 1446, 1440]. orders[279, 1003, 1336]. ordinary[135, 308, 584, 655, 708, 758, 789, 818, 877,903, 1022, 1030, 1270, 1430, 1491].orientation [609]. origin [852].Orthogonal [674, 821, 213, 325, 604, 1217,1298, 1344, 1478, 1484]. orthonormal[496, 495]. orthonormalization [959].orthonormalizing [725]. oscillating[886, 887]. Oscillation[745, 12, 866, 867, 889, 890]. oscillators[887]. oscillatory [89, 280, 286, 424, 526,529, 837, 1195, 1345, 1463, 1509, 1510].

21

Oseen [473, 1104]. output [1128, 1286].Overcoming [918, 808]. overdamped [962].overdetermined [442, 1249, 1480].Overflow [637]. Overlapping[558, 1057, 1503]. overrelaxation[798, 1091].

p [816]. p.d.e.s [709, 200]. packet [619].pairs [979, 991, 1397]. panel [395, 968].pantograph [352, 763, 856]. paper[227, 811]. parabolic[8, 27, 40, 49, 144, 199, 200, 414, 569, 616, 620,621, 622, 644, 707, 713, 795, 809, 923, 926, 925,936, 937, 941, 939, 966, 989, 1053, 1054, 1066,1117, 1140, 1141, 1142, 1178, 1187, 1214, 1215,1217, 1269, 1286, 1330, 1338, 1353, 1456, 1486,1521, 1524, 1525, 1526, 1548, 1446, 1442].Parallel[128, 657, 834, 693, 799, 879, 1338, 1472, 1522].Parameter[1022, 1243, 25, 214, 672, 911, 1235].parameter-dependent [25].Parameter-free [1243]. parameters[505, 511]. parametric [122].parametrization [1150]. parareal [1502].part [502, 520, 595, 1014, 1394, 1501, 1539,490, 102, 103, 170, 274, 388, 614, 1256, 1499].partial [328, 592, 658, 663, 749, 757, 842,945, 947, 954, 974, 1009, 1108, 1214, 1215,1217, 1277, 1341]. partially [188].particular [93]. partition [575].Partitioning [1487, 804, 818]. partitions[118, 258, 1370]. patch [122]. patches [629].path [1245]. Pathwise [1175]. PDE[397, 622, 700, 1066, 1384, 873].PDE-constrained [1384]. PDEs[270, 276, 322, 394, 844, 845, 1046, 1088,1132, 1237, 1486, 1514]. Peclet [626].penalty [223, 267, 302, 303, 459, 565, 576,639, 699, 698, 731, 756, 760, 791, 860, 951].penalty-free [223]. [330]. Cahn [141].elliptic [272]. Hopf [1504]. pencils [55].Penrose [953]. Penrose-Fife [953].perfectly [241]. Performance [771, 1519].

period [600, 1319]. Periodic[548, 752, 120, 329, 507, 749, 896, 1150, 1198,1325, 1384, 1387, 1439, 1440]. periodic/non[120]. periodic/non-periodic [120].Persistence [758]. perturbation[365, 809, 1311, 1382, 1393, 1481, 1523].perturbations [1449]. perturbed [40, 53,100, 302, 353, 375, 559, 631, 963, 964, 977,983, 992, 1032, 1034, 1055, 1069, 1122, 1130,1135, 1134, 1392, 1391, 1396, 1456, 1459].Petrov [13, 136, 212, 275, 1135, 1158, 1318].PH [628]. phase [27, 138, 139, 140, 151, 220,391, 475, 539, 557, 661, 686, 838, 944, 953,1023, 1080, 1153, 1212, 1213, 1259].phase-field [944, 953]. phase-function[1259]. phenomenon [1236]. Picard[600, 868]. Piecewise [316, 746, 1208, 421,509, 567, 1011, 1033, 1134, 1245, 1398, 701].Piecewise-smooth [1208, 1033].piecewise-uniform [1134]. PIN [24].Pitaevskii [566, 691]. Pitaevskii-type[566]. Pivoting [1223]. planar[95, 207, 366, 659, 1071]. plane[149, 871, 874, 933, 1462]. plane-wave [871].plasma [148]. plate [726, 1252, 1368].Plemmons [1078]. plotting [259]. plus[164, 587]. Poincare [850, 1221, 1451].point [3, 35, 115, 160, 209, 211, 222, 371,372, 577, 626, 637, 681, 687, 690, 722, 755,813, 1016, 1130, 1162, 1274, 1360, 1389, 1392,1391, 1459, 1504, 1523, 489]. points [11, 97,270, 600, 649, 748, 898, 897, 984, 985, 1148,1253, 1312, 1373, 1376, 1377, 1406, 1525].Pointwise[772, 964, 975, 322, 525, 870, 976, 1467].Poisson [79, 93, 132, 264, 339, 531, 645, 797,972, 988, 1026, 1109, 1146, 1227].Poisson-Neumann [645]. Poisson-type[988]. Polak [1536]. polar [1146]. pole[988]. poles [495]. pollution[477, 1012, 1088]. Polya [166]. Polyak[1536]. polygon [540, 1366]. polygonal[623]. polygons [598, 1490]. polyharmonic[163, 165]. polyhedral [225, 796, 1263].

22

polymer [161]. polymers [154].Polynomial[282, 868, 39, 164, 236, 316, 330, 432, 497,583, 701, 881, 899, 929, 967, 1093, 1171, 1188,1193, 1209, 1317, 1410, 1488, 1493, 491].Polynomials[821, 39, 288, 289, 325, 740, 1096, 1097, 1211,1218, 1224, 1311, 1410, 1435]. polytopes[258]. population [43, 615]. porous[188, 266, 689, 690]. posed [430, 1294].posedness [1167]. positioning [1078].positive[166, 664, 1255, 1256, 1274, 1334, 1447, 1482].positive-definite [1334].positive-definiteness [166].positive-semidefinite [1274]. Post [18].Post-processing [18]. posteriori[52, 74, 80, 155, 170, 171, 192, 188, 195, 196,221, 267, 322, 347, 380, 447, 499, 542, 576,681, 696, 697, 706, 842, 844, 938, 936, 937,953, 963, 983, 1063, 1177, 1194, 1198, 1219,1269, 1413, 1452, 1544, 486, 566, 982].Potential [1402, 103, 841, 874, 933, 1182].Powell [478, 519, 1371]. power [1169].powers [227, 228]. Pre [1499].Pre-asymptotic [1499]. precision[1130, 1278]. Preconditioned[114, 1450, 111, 234, 542, 773, 1351].preconditioner[317, 384, 660, 1070, 1206, 1274].Preconditioners[1228, 330, 360, 361, 712, 1364, 1423, 484].Preconditioning [850, 1179, 83, 100, 180,198, 254, 274, 1243, 1244, 1315]. preconvex[1539]. Predictor[1438, 1440, 730, 1442, 1441].Predictor-corrector[1438, 1440, 1442, 1441]. prescribed[299, 392, 493]. presence [137].Preservation [175]. Preserving[369, 87, 259, 476, 503, 580, 628, 627, 705,929, 928, 1036, 1147, 1257, 1527, 1533].pressure [310, 317, 678, 831, 1028, 1083].pressure-dependent [831].

pressure-robust [1028]. pressure-stress[678]. pressures [21, 266]. pricing[860, 1237, 1468]. primal [218, 1422].primal-dual [218]. primitive [85].primitive-variable [85]. principal[1239, 1470]. principle [642, 911].principles [622]. priori[155, 265, 347, 475, 499, 576, 640, 913, 944,970, 1121, 1213, 1378, 1459]. Prize [56].probabilistic [1140, 1141]. problem[5, 13, 18, 19, 48, 53, 73, 77, 76, 103, 109, 113,131, 148, 172, 182, 186, 191, 189, 193, 221,255, 267, 265, 268, 269, 286, 314, 316, 339,335, 347, 353, 408, 473, 475, 480, 528, 531,539, 544, 566, 588, 590, 585, 596, 603, 613,624, 631, 632, 640, 644, 668, 678, 688, 695,703, 713, 717, 772, 773, 793, 802, 823, 832,917, 923, 963, 964, 983, 1002, 1023, 1029,1031, 1034, 1055, 1068, 1065, 1089, 1100, 1104,1116, 1135, 1140, 1141, 1178, 1206, 1207, 1212,1213, 1229, 1235, 1251, 1254, 1262, 1294].problem [1307, 1384, 1386, 1389, 1393, 1395,1408, 1419, 1431, 1454, 1456, 1467, 1461,1495, 1513]. problems[1, 3, 9, 34, 35, 37, 52, 80, 81, 104, 115, 114,120, 126, 128, 152, 157, 179, 184, 207, 210,211, 213, 212, 214, 216, 222, 239, 240, 247,249, 253, 278, 302, 303, 311, 326, 327, 337,354, 359, 371, 372, 375, 392, 381, 390, 379,397, 404, 406, 412, 414, 413, 430, 431, 436,443, 447, 451, 485, 494, 511, 530, 557, 559,571, 577, 608, 616, 618, 617, 635, 645, 660, 661,665, 675, 679, 681, 682, 687, 693, 694, 698, 696,704, 706, 712, 716, 719, 745, 755, 799, 806].problems[809, 813, 834, 838, 839, 840, 843, 858, 863,870, 874, 896, 906, 926, 925, 932, 933, 935,942, 951, 952, 966, 969, 970, 972, 977, 989,992, 999, 1015, 1032, 1056, 1067, 1069, 1080,1084, 1114, 1120, 1119, 1123, 1124, 1125,1129, 1134, 1147, 1162, 1186, 1197, 1202,1201, 1242, 1243, 1254, 1259, 1274, 1276,1282, 1286, 1305, 1313, 1324, 1330, 1335,1343, 1353, 1360, 1378, 1392, 1391, 1395,

23

1396, 1397, 1416, 1450, 1453, 1455, 1458, 1459,1473, 1465, 1490, 1494, 1522, 1523, 1524, 1525,1526, 1542, 464, 484, 486, 1445, 1439, 1440].procedure [1248, 1522]. procedures [1324].Procesi [419]. process [580, 944].processes[43, 75, 271, 421, 961, 962, 1301, 1401, 512].processing [18, 1340]. Product [11, 404,1424, 324, 375, 399, 629, 739, 1390, 1533].products [1345]. profile [725, 786].programming[654, 722, 729, 800, 952, 1153, 1495].progress [1220]. Projected[1325, 45, 215, 478, 1495]. Projection[16, 1356, 78, 181, 363, 473, 474, 683, 1104,1127, 1159, 1385]. projections [719].projective [1154]. Prokhorov [368].Prolongation [1006].Prolongation-collocation [1006]. proof[1347]. proofs [766, 765]. propagation[179, 799, 1074]. Properties[397, 1171, 1546, 1547, 10, 15, 173, 288, 305,308, 352, 424, 456, 469, 482, 621, 652, 701,724, 1084, 1092, 1127, 1237, 1319, 1372, 1397,1414, 1493, 1511, 1512, 1521, 1545].property [29, 455]. proportional[175, 285]. protein [44]. Prufer [214].pseudo [619, 965]. pseudo-inverses [965].pseudo-spectral [619]. pseudorank [104].Pseudospectra [1497, 300].Pseudospectral [1077, 653, 666, 859, 1044,1062, 1232, 1119, 1126]. pseudostress[314, 347, 1116]. pseudostress-based [347].Ptak’s [1025]. punch [142]. Pure [42].pyramids [1180]. Pythagorean [627, 629].Pythagorean-hodograph [627, 629].

Q [1390]. QP [648]. QR [723]. quadrant[422]. Quadratic [105, 297, 1385, 1525, 246,267, 444, 504, 505, 503, 722, 729, 746, 770,825, 861, 946, 952, 1153, 1290, 1363, 1524].Quadrature[325, 598, 1304, 89, 117, 212, 299, 367, 520,779, 886, 887, 958, 998, 1041, 1099, 1113,

1138, 1178, 1196, 1222, 1250, 1265, 1338, 1375,1394, 1418, 1426, 1428, 1444, 1492, 487, 1374].quadratures [1051, 1139]. quadrilateral[382, 1524, 1525, 1526]. Qualitative[724, 10, 621]. qualocation [539, 1214].quantification [904]. quantiles [1200].quartic [548]. Quasi[1121, 1143, 1539, 70, 153, 196, 201, 294, 332,382, 431, 468, 675, 721, 763, 844, 1142, 1198,1250, 1370, 965, 1495, 1538]. quasi- [70].quasi-continuum [1198]. quasi-definite[1250]. quasi-geometric [763].quasi-interpolation [294, 1370].quasi-linear [844, 1142]. quasi-Monte[721]. Quasi-Newton[1539, 965, 1495, 1538]. quasi-Newtonian[196, 431]. Quasi-optimal [1121, 468].quasi-optimality [675]. quasi-square[332]. Quasi-symplectic [1143].quasi-uniform [201]. quasi-variational[153]. quasi-Wilson [382].quasicontinuum [525]. quasilinear[210, 431, 795, 843, 1213, 1459].quasimatrix [1427]. quasinonlocal [1021].Quasioptimal [344]. queueing [635].quintic [167, 628, 627, 1219].

R [301, 471]. R-algorithm [301]. R-linear[471]. radar [241]. radial[163, 296, 394, 652, 653, 667, 894, 1003, 1059,1234, 1320, 1349, 1506]. radiation [179].radiative [658, 739]. radii [767]. radiosity[95, 796]. radius [801, 1126]. Random[573, 177, 820, 904]. Randomized[515, 694, 1448]. range[820, 1021, 1247, 1345]. range-dependent[820]. rank[177, 407, 533, 1203, 1447, 1481, 1547].rank-deficient [177]. rank-one [1203].rank-revealing [533]. rapid[12, 866, 867, 889, 890, 1080, 1337]. Rate[1312, 38, 108, 831, 1175]. rates [162, 219,273, 560, 684, 973, 1328, 1416, 1469, 1485].Rational [299, 733, 862, 913, 1346, 235, 426,

24

427, 496, 495, 504, 505, 503, 703, 744, 746,880, 1118, 1222, 1444, 1479]. rationals [36].Raviart [530, 972, 1028]. Rayleigh [1320].reaction [13, 75, 353, 414, 447, 749, 956, 963,964, 983, 1032, 1034, 1040, 1065, 1069, 1122,1302, 1319, 1503, 1391]. reaction-diffusion[13, 75, 414, 1040, 1069, 1122, 1302, 1319,1503]. Reaction-diffusion-type [1391].real [180, 363, 483, 767, 1088, 1094, 1098,1099, 1426, 1437]. real-valued [180].Realistic [499, 1475]. reconstruction[846, 1010]. reconstructions [1269].recovery [135, 134, 447, 989, 1011, 1279,1368, 1500, 1540, 134]. Rectangular[541, 332, 656, 1390, 1497, 1517].rectangularly [1227]. rectilinear [480].Recurrence [496]. recursive [743, 1127].recursive-trust-region [743].redistancing [605]. Reduced[706, 1286, 20, 290, 367, 672, 1439].Reduced-basis [1286]. reducible [1492].reduction [37, 808, 851, 1060].Redundancy [1369]. Reeves [29, 469].Referees [58, 60, 62, 65, 67, 69]. reference[645]. Refinable [292]. refined[22, 623, 625, 778]. refinement [822, 1115].reflection [717]. regime [511]. region[44, 116, 730, 743, 753, 1247, 1417, 1529].regions[583, 764, 945, 1071, 1227, 1438, 119].regression [432, 445, 1200, 1484]. regular[51, 164, 268, 318, 733]. regularity[70, 109, 1046, 465]. regularization[342, 587, 948, 1498]. regularized[157, 173, 219, 239, 610]. regularly[227, 228]. reiterated [1238]. related[11, 944, 947, 1142, 1284, 1383]. relation[257]. relationship [43]. relative[562, 706, 1012]. relaxation [113, 1503].reliability [420, 943]. Remarks [1266].remeshing [1260]. removal [786].removing [1470]. reordering [752, 820].Repeated [523]. Representation[715, 407, 511, 792]. reproducing [1283].

reproduction [1488]. REQP [159].reservoir [317, 350]. Residual[171, 221, 393, 656, 840, 1181].Residual-based [221]. residuals [77].residue [1441]. resistivity [960].resolution [98]. resolvent [1436].restarted [869, 1118]. restricted[412, 965, 1335]. Restrictively [111]. result[664, 676, 1501]. results[7, 133, 336, 339, 363, 1224, 1251, 1301, 1436].Retarded [1308, 968]. revealing [533].revelations [1433]. reverse [403].reversible [329]. revisited [408]. Ribiere[1536]. Riccati[771, 914, 913, 1020, 1027, 1348].Riccati-type [914]. Ricci [662]. Riemann[405, 1129, 1225, 1419, 1428].Riemann-problem-based [1419].Riemannian[14, 116, 498, 643, 753, 1016, 1447]. right[1393, 1412]. right-hand [1393].right-hand-side [1412]. rightmost [1120].rigid [142, 1252]. Ritz [1269, 1320]. RLW[769]. Robbins [1229]. Robin [147, 912].Robust [300, 380, 1024, 1122, 1307, 1364,1413, 512, 11, 353, 605, 927, 1028, 1123,1145, 1276, 1456, 1544]. rod [814]. role[254]. Ronald [751]. root [479, 1000, 491].root-finding [1000, 491]. roots [263, 1073].Rosenbrock [931]. rotating [805].rotation [527, 1049]. Rothe [926].Rothe-Galerkin [926]. rough [279, 1485].rounding [1528]. rules[11, 261, 529, 1014, 1061, 1085, 1099, 1138,1394, 1418, 1460, 1492]. Runge[119, 174, 298, 307, 319, 320, 323, 345, 438,434, 435, 436, 437, 534, 538, 535, 536, 537,569, 750, 788, 819, 848, 855, 879, 979, 1035,1092, 1184, 1205, 1301, 1314, 1325, 1336, 1350,1376, 1377, 1455, 1487, 1534, 872, 1443, 1437].

Sabin [478, 519, 1371]. saddle[115, 681, 687, 690, 1274, 1523, 489].saddle-point [115]. safeguarded [1181].

25

Sakaguchi [4]. sample [432]. sampling[54, 88, 1401]. Sandpiles [153]. saturated[188]. saturation [884]. scalar[843, 1323, 1339, 1532]. scale[110, 600, 729, 1019, 1034, 1119, 1348].scaleable [1145]. scaled [251]. scales[1, 1122]. scaling [1287, 1483]. scattered[478, 1506]. scattering[206, 239, 366, 672, 817, 904, 949, 950, 1001].scheme[106, 130, 133, 156, 158, 181, 205, 264, 356,355, 375, 391, 400, 411, 414, 413, 420, 438,450, 608, 610, 705, 714, 768, 772, 799, 803,836, 909, 921, 924, 925, 936, 941, 953, 990,993, 1013, 1031, 1036, 1046, 1064, 1067, 1168,1252, 1273, 1306, 1319, 1361, 1507, 1527].Schemes[544, 8, 26, 75, 85, 204, 225, 250, 290, 350,354, 357, 397, 419, 526, 532, 555, 606, 609,631, 641, 644, 661, 732, 788, 809, 846, 900,922, 960, 1045, 1117, 1146, 1152, 1264, 1272,1285, 1303, 1323, 1334, 1339, 1396, 1411,1419, 1420, 1485, 1511, 1512, 1532].Schmidt [711]. Scholes [927, 1468, 873].Schrodinger[2, 28, 378, 511, 562, 692, 987, 1002, 1036,1059, 1303, 1320, 1349, 1350, 1425]. Schur[712, 742]. Schwarz[86, 107, 250, 816, 935, 1315, 1405, 1503, 1516].Schwarz-Neumann [107]. screens[202, 817]. SDEs [990]. search[29, 393, 460, 731, 1514]. search-extension[1514]. Second [845, 46, 47, 55, 85, 94, 97,174, 210, 213, 328, 516, 530, 716, 727, 730,738, 789, 844, 854, 870, 896, 915, 921, 935,1012, 1067, 1098, 1166, 1222, 1359, 1360,1501, 1502, 1515, 1540, 1407, 1443, 1440].second-derivative [730]. second-kind[1098, 1407, 1443]. Second-order[845, 46, 47, 55, 85, 210, 213, 328, 516, 530,716, 789, 844, 896, 921, 935, 1012, 1067,1166, 1360, 1501, 1502, 1515, 1440].second-order-accurate [870]. section[241]. sectorial [500, 827]. Segel [205, 1292].

segment [122]. Segre [1448]. Seidel [833].selection [497, 788, 1202, 1494]. self[245, 557, 1012, 1088, 1385]. self-adaptive[557]. self-adjoint [245, 1012, 1385]. Semi[290, 2, 35, 197, 407, 411, 803, 906, 1013, 181].Semi-discrete [290, 906, 1013].semi-discretizations [2]. semi-implicit[197, 411, 803]. semi-infinite [407].semi-Lagrangian [181]. semi-linear [35].semiaxis [483, 1098, 1099]. semiclassical[511, 987]. semidefinite[402, 654, 1274, 1447]. Semidiscrete[1216, 908, 1330]. semidiscretization [678].semidiscretized [883]. semilinear[27, 40, 353, 539, 963, 964, 1154, 1166, 1514].separable [800]. separation[138, 139, 140, 220]. sequence [1199].sequences [312, 515]. Sequential[1310, 46, 47, 1153]. series[12, 54, 313, 582, 715, 784, 1094, 1095, 1169,1170, 1227, 1362, 1429, 467]. Set[826, 218, 605, 610, 711, 954, 1010, 1447].set-valued [954, 1010]. sets[215, 343, 432, 1325]. setting [351]. Several[1397, 1045, 1418]. severe [637]. shallow[72, 183]. Shanno [1248]. Shanno-Toint[1248]. Shape[259, 503, 628, 627, 928, 1257, 87, 476, 1527].Shape-preserving[259, 628, 627, 928, 87, 476]. shaped [1055].Sharp [341]. Shaw [590]. shear [831].shear-rate- [831]. shell [192]. Shepard[506]. shifted [97]. shifts [725, 852].Shishkin [772, 1029, 1056, 1285]. shock[717]. shock-reflection [717]. shooting[839, 1259]. Shor [301]. Short [765].shortening [589]. shot [1384]. shrinking[493]. side [1412]. sided [196]. sides [1393].Siewert [41]. significance [637].significant [1432]. Signorini [1242, 1461].Signorni [1378]. Signorni-type [1378].Sigurdsson [1299]. similarity [717]. simple[20, 156, 158, 557, 731]. simplex [460].simplicial [258]. simplified [462, 1292].

26

simulation [317]. simulations [176, 1252].simultaneous [1073, 1309, 1400]. Sinc[211, 1059, 1401, 1058, 1172].Sinc-collocation [211, 1059].sinc-Galerkin [1058, 1172]. sinc-Gauss[1401]. Single[187, 475, 539, 1023, 1212, 1213].Single-grid [187]. single-phase[475, 1023, 1212, 1213]. singly [305].singly-implicit [305]. singular[3, 201, 217, 247, 282, 364, 372, 449, 454, 521,542, 577, 634, 665, 747, 809, 854, 901, 984,985, 998, 1085, 1103, 1166, 1375, 1374, 1379,1403, 1407]. singularities[806, 808, 849, 1056, 1239]. singularity[1287]. singularly[40, 53, 302, 353, 375, 559, 631, 963, 964, 977,983, 992, 1032, 1034, 1055, 1069, 1122, 1135,1134, 1392, 1391, 1396, 1456, 1459]. SIP[484]. SIP-DG [484]. Sivashinsky[26, 1044]. sixth [760, 896]. sixth-order[760, 896]. size [160, 497]. skew[115, 782, 888]. skew-Hermitian [115].skew-symmetric [782, 888]. slice [1133].slice-based [1133]. Sloan [737].Slobodeckij [614]. slow [1316]. slowly[1170]. Smale [385, 1016]. small[235, 601, 1223]. smallest [1481]. Smolyak[515]. smooth [96, 145, 871, 920, 1033, 1205,1208, 1398, 1543]. Smoothed [396].Smoothing [1521, 381, 453, 509, 833, 1441].Smoothness[754, 1511, 261, 522, 721, 1147, 1369].snapshot [1352]. Sneyd [1507]. Sobolev[83, 157, 293, 721, 762, 1003]. Sobolev-type[1003]. software [456]. solenoidal [1206].solid [76, 640]. solidification [151, 944].Solution[323, 332, 821, 925, 1020, 52, 53, 84, 91, 96,95, 184, 240, 255, 254, 280, 281, 303, 318, 364,363, 366, 383, 381, 442, 443, 454, 462, 467,481, 521, 533, 540, 584, 645, 655, 703, 717,745, 773, 790, 797, 834, 870, 874, 923, 926,933, 934, 967, 986, 999, 1002, 1030, 1037, 1042,

1040, 1075, 1076, 1113, 1140, 1141, 1189, 1229,1231, 1267, 1271, 1303, 1308, 1313, 1320, 1318,1348, 1349, 1350, 1368, 1375, 1374, 1384, 1408,1430, 1454, 1471, 1480, 1545, 1407, 1445].solution-dependent [280]. solutions[51, 93, 98, 110, 130, 189, 259, 287, 316, 315,362, 419, 435, 507, 562, 606, 708, 718, 750,759, 810, 811, 830, 863, 882, 906, 914, 933,1110, 1151, 1163, 1175, 1227, 1242, 1249,1296, 1319, 1387, 1458, 1514, 1546].solvability [673]. solve[390, 497, 895, 1146]. solver [405, 870, 1519].solvers [553, 1457]. Solving[183, 406, 596, 1162, 1333, 1341, 143, 250, 399,411, 480, 635, 658, 704, 728, 769, 799, 839,899, 927, 952, 1009, 1027, 1100, 1134, 1461].Some [118, 133, 363, 1098, 1127, 1309, 1349,1396, 20, 204, 288, 455, 532, 581, 661, 894,979, 1097, 1502]. SOR [1008, 1018].SOR-like [1018]. Soulie [19]. source[85, 357, 834, 846, 1323, 1339]. Space[16, 8, 40, 49, 87, 157, 188, 197, 199, 275, 309,389, 439, 475, 607, 618, 617, 642, 719, 970,1045, 1125, 1213, 1417, 1471, 484].Space-Time [16, 40, 970]. spaced [1219].spaces [293, 292, 668, 721, 762, 786, 1003,1154, 1210, 1283, 1402, 1415]. spanning[1281]. Sparse [779, 49, 332, 375, 384, 396,549, 554, 553, 552, 747, 904, 968, 1034, 1120,1248, 1272, 1298, 1416, 1415]. Spatial[1108, 162, 224, 627, 1164]. spatially [651].SPD [547]. SPDEs [264, 1047, 1469].special [604, 664, 1344, 1437]. specified[446, 969]. spectra [1012]. Spectral[4, 45, 194, 206, 276, 477, 820, 854, 1001, 1012,3, 81, 102, 103, 120, 187, 190, 215, 244, 274,286, 330, 393, 482, 541, 619, 665, 769, 934, 949,987, 988, 1088, 1228, 1244, 1366, 1398, 1474].spectral/difference [988]. spectral/ [330].spectrum [1081, 1088, 1385]. speed [301].sphere [166, 649, 1070, 1308]. spherical[74, 988]. spine [14]. spiral [433]. Spline[343, 792, 1318, 213, 282, 443, 445, 476, 504,518, 627, 650, 720, 726, 918, 927, 1090, 1161,

27

1162, 1217, 1257, 1360, 1363, 1396, 1429].spline-fitting [443]. splines [163, 165, 167,279, 292, 297, 433, 478, 519, 548, 628, 851,929, 946, 1038, 1060, 1079, 1171, 1183, 1219,1253, 1290, 1368, 1370, 1369, 1371]. split[369, 513, 691]. split-step [691]. split-steps[513]. splitting [115, 216, 399, 488, 511, 555,620, 641, 768, 795, 800, 808, 930, 941, 957,987, 1036, 1264, 1274, 1341, 1342, 1533].splittings [794, 490].splittings-convergence [794]. spreading[137]. Spurious[570, 863, 750, 882, 1163, 1319, 1387]. SQP[710, 730]. square [332, 346, 378, 522].Squared [527]. squares[104, 173, 257, 359, 412, 442, 445, 446, 457,509, 510, 647, 1038, 1078, 1100, 1136, 1144,1202, 1201, 1313, 1321, 1381, 1393, 1488].squaring [254]. Stability[49, 75, 84, 99, 120, 121, 174, 217, 318, 385,436, 516, 529, 546, 1275, 656, 763, 789, 848,856, 883, 877, 893, 1040, 1043, 1084, 1092,1319, 1355, 1421, 1519, 1534, 872, 873, 97, 117,119, 232, 248, 269, 300, 305, 306, 307, 352,363, 429, 434, 437, 441, 463, 513, 597, 664,676, 683, 709, 764, 766, 765, 767, 796, 805, 824,828, 846, 924, 945, 956, 990, 1037, 1048, 1050,1051, 1066, 1065, 1169, 1264, 1418, 1436, 1457,1489, 1515, 491, 1443, 1437, 1438, 1442, 1441].Stabilization [16, 198, 473, 608, 761, 1104].stabilized [8, 77, 303, 547, 710, 793, 802,975, 1024, 1190, 1343, 1413]. Stable[151, 152, 357, 532, 749, 1049, 21, 373, 374,435, 722, 782, 790, 896, 900, 941, 991, 1013,1067, 1100, 1104, 1151, 1455, 1532, 489].stage [1117, 1336]. staggered [409].Standard [98, 108, 257, 1063]. starlike[1218]. stars [884, 1451]. starting [320].state [90, 381, 591, 596]. state/Hopf [1504].static [76]. stationary[84, 528, 625, 912, 1000, 1151]. Steady[1504, 90, 133, 596, 906]. Steady-state[1504, 90, 596]. Steady-state/Hopf [1504].steepest [458, 466, 482]. Stefan

[255, 392, 475, 539, 588, 585, 838, 1015, 1080,1212, 1213, 1386, 1458]. Steklov[48, 675, 850, 1513]. step[160, 298, 320, 428, 497, 584, 686, 691, 730,758, 781, 936, 937, 1000, 1324, 1349].step-size [497]. steplength [702, 1268].stepping [1041, 1164, 1165, 1364]. steps[513, 1521]. stepsize [312, 788]. stiff[345, 456, 553, 818, 840, 864, 1189, 1445].Stochastic[238, 1047, 123, 229, 231, 291, 368, 378, 425,596, 728, 853, 974, 1036, 1046, 1083, 1142,1152, 1173, 1175, 1244, 1416, 560].stochastically [43]. Stokes[636, 768, 1024, 6, 16, 19, 73, 77, 78, 101, 110,109, 129, 162, 171, 191, 187, 190, 189, 193, 195,225, 265, 268, 269, 310, 314, 347, 386, 417, 544,547, 572, 603, 625, 671, 776, 802, 829, 916, 924,938, 940, 972, 1028, 1082, 1089, 1116, 1121,1176, 1206, 1263, 1294, 1321, 1365, 1454].Stopping [1130, 231, 1460, 1445]. story[1158]. straightening [1245]. Strang [361].Strang-type [361]. strategies[846, 961, 1223, 1487]. strategy [1060, 1118].stream [190]. stream-function [190].streamline [772, 1390].streamline-diffusion [1390]. stress[334, 678]. stretched [1024]. strict[166, 260]. string [1245]. strip [1132].strip-based [1132]. Strong[173, 1089, 1469]. strongly[431, 449, 735, 925, 996, 1042]. structural[182, 676, 677]. structurally [1100].Structure [1042, 442, 517, 641, 678, 847,1289, 1476, 1527]. structure-preserving[1527]. structured [533, 1448]. studies[178]. Study [610, 632]. Sturm[214, 247, 613, 665, 703, 745, 839, 1259]. sub[1164]. sub-diffusion [1164]. subcycling[555]. subdiffusion [909, 932]. subdivision[508, 754, 1284, 1511, 1512]. Subgrid[761, 110]. subgrid-scale [110]. subject[481, 1538]. submatrix [1481]. subsequent[723]. subspace [633, 897].

28

subspace-breaking [897]. substructuring[1132, 1133]. subtraction [637]. successive[580, 798, 1091]. Sufficient [631]. sum [510].sums [256, 945, 1482]. sup [991, 1104].supercloseness [1055]. superconducting[594, 1388]. superconductivity[272, 586, 591]. superconductors [153].Superconvergence[563, 981, 1026, 1125, 1270, 175, 258, 284,1056, 1316, 1372, 1394, 1501].Superconvergent [1011, 1540, 417, 1263].superlinear [1249]. superposition [44].supersmoothness [1369]. supported [394].Supraconvergence [130].supraconvergent [679]. surface[122, 279, 518, 519, 592, 629, 720, 918, 1277].surface-fitting [518]. surfaces[96, 201, 322, 492, 545, 568, 569, 787, 786,793, 904, 1054, 1190]. surfactant [137].survey [1224, 1330]. Sushi [608]. SVD[542]. switching [35]. Symm[598, 1009, 1520]. symmetric [168, 340, 406,415, 418, 552, 1275, 639, 782, 869, 888, 896,913, 919, 1027, 1071, 1111, 1120, 1172, 1185,1203, 1220, 1248, 1293, 1340, 1401, 1402].Symmetrization [1058, 136]. symmetry[35, 507, 898, 1149, 1504].symmetry-breaking [1149, 1504].Symplectic [526, 320, 378, 1035, 1143, 1184].symplecticity [784]. system[13, 27, 141, 171, 272, 310, 333, 415, 448, 543,636, 757, 815, 916, 953, 1032, 1042, 1069,1176, 1292, 1381, 1480, 1527]. Systems[821, 31, 84, 111, 114, 168, 180, 208, 218, 280,323, 329, 328, 332, 345, 360, 361, 369, 370,424, 456, 461, 483, 507, 517, 526, 533, 578,579, 600, 622, 659, 728, 734, 742, 783, 804,822, 828, 848, 855, 895, 899, 985, 1018, 1030,1086, 1087, 1103, 1122, 1172, 1187, 1204,1223, 1244, 1289, 1309, 1430, 1449, 1519, 872].Szego [1222, 487].

Takens [209, 898, 897, 1504]. taut [1245].Taylor [1095, 1340]. technical [757].

technique [269, 278, 1081, 1272].techniques [126, 508, 555, 706, 1058].temporal [924]. Tensor[629, 375, 904, 1390, 1533]. Tensor-product[629, 1390, 1533]. term [229]. terms[357, 700, 834, 1323, 1339, 464]. test[275, 455, 840, 1335, 1431]. Testing[1351, 408, 1448]. tetrahedral[982, 1315, 1370]. textile [757]. texture[587]. their [82, 363, 456, 621, 849, 1061,1139, 1157, 1365, 1394, 1464]. theorem[82, 884, 1252]. theorems [677, 1210, 1465].theoretic [1402]. Theory[260, 401, 498, 573, 685, 745, 841, 879, 1016,1027, 1358, 1457]. There [525]. thin[20, 137, 726, 1329, 1368]. third[33, 389, 1541]. third-kind [33].third-order [389, 1541]. Thomas [30, 530].three [78, 165, 603, 768, 776, 803, 900, 1082,1133, 1336, 1335, 1423]. three-body [1335].three-dimensional [768, 803].three-dimensions [78]. three-fields [1082].three-stage [1336]. three-time-level [900].Time[16, 125, 680, 741, 1112, 5, 40, 49, 85, 191,188, 195, 197, 413, 439, 463, 485, 488, 555,560, 569, 588, 616, 618, 617, 658, 661, 678,688, 692, 768, 779, 799, 802, 809, 815, 828,882, 900, 906, 907, 908, 930, 938, 953, 957,964, 970, 987, 993, 1041, 1053, 1054, 1125,1164, 1165, 1273, 1274, 1288, 1302, 1338,1361, 1364, 1384, 1425, 1466, 1503, 1521].time-accuracy [809]. time-dependent[5, 191, 195, 413, 485, 802, 938, 957, 964,1125, 1384, 1466]. time-discrete [1425].time-discretization [560]. Time-domain[125, 678, 993]. time-evolution [799].time-fractional [908]. time-harmonic[1274]. time-parallel [799]. time-periodic[1384]. time-space [439]. time-splitting[488, 987]. time-stepping[1164, 1165, 1364]. time-subcycling [555].time-varying [828]. Timoshenko [814].Toda [321]. Toeplitz [360, 364, 735]. Toint

29

[1248]. tolerance [819]. tomography[910, 1240]. topology [1281]. torsion [186].Total [144, 146, 157, 242, 243]. touching[450]. Trace [1378, 1277]. Tracking[1220, 1015]. trajectory [436, 1114].transfer [668, 739]. transform[441, 785, 1283, 1401]. transformation[214, 1113, 1170, 1258, 1338, 1346, 1543].transformations [105, 277, 1120, 1199].transforms[54, 89, 325, 886, 1112, 1509, 1510].transient [184, 355, 847, 1365]. transition[661]. transmission [240, 311, 806, 923].transport[249, 400, 658, 685, 1020, 1027, 1072].trapezoidal [513, 1085, 1298]. treatment[658, 968, 1443]. tree [985]. tree-based[985]. Trees [313, 1281]. Trefftz [970]. trial[7]. triangle [867]. triangular[105, 506, 1135, 1315, 1383].triangularization [1427]. triangulation[1290]. triangulations [567]. trick [589].tridiagonal [461]. Trigonometric[815, 1129, 97]. Trivariate [236]. Trotter[511]. Truncation [1086, 1439]. Trust[44, 116, 730, 743, 753, 1247, 1417, 1529].Trust-region [44, 116, 1417].trust-region-free [730]. tuned [660].Turan [1139]. turning [1148, 1373]. TV[587]. TVD [1420]. TVNE [1541]. Two[160, 196, 935, 1117, 1336, 1405, 3, 8, 27, 78,88, 105, 114, 129, 163, 211, 214, 222, 240, 250,281, 371, 372, 384, 379, 428, 476, 577, 595, 614,617, 665, 669, 755, 813, 817, 838, 932, 1013,1034, 1062, 1064, 1067, 1069, 1073, 1080, 1107,1132, 1162, 1206, 1235, 1245, 1319, 1348, 1360,1389, 1392, 1391, 1425, 1459, 1507, 1516].two- [78]. two-by-two [114].two-dimensional[88, 163, 240, 250, 281, 614, 617, 817, 932,1013, 1062, 1067, 1107, 1206, 1507].two-factor [1064]. Two-level[935, 1405, 384, 1117, 1516]. two-parameter[214, 1235]. two-phase [27, 838, 1080].

Two-point [160, 3, 211, 222, 371, 372, 577,755, 813, 1162, 1360, 1389, 1392, 1391, 1459].two-scale [1034]. Two-sided [196].Two-stage [1117, 1336]. two-step [428].twofold [681, 687, 690]. type[26, 74, 361, 495, 553, 566, 591, 673, 726, 736,838, 953, 981, 988, 1003, 1035, 1045, 1083,1087, 1104, 1107, 1143, 1196, 1299, 1351,1370, 1378, 1386, 1423, 1463, 1487, 1509, 1510,1513, 1515, 1540, 489, 82, 454, 521, 524, 733,789, 914, 1137, 1327, 1375, 1374, 1392, 1391].type-6 [1370]. type-II [591].

unbounded [1232]. uncertain [1064, 1237].uncertainty [32, 446, 904]. Unconditional[803]. unconditionally[124, 941, 1064, 1067]. unconstrained[81, 470, 1247, 1414, 1531].underdetermined [432]. underflow [637].understanding [232]. unfitted[143, 145, 531, 1353]. unidimensional[539, 1023, 1212]. Unified[882, 1526, 339, 524, 965, 1419, 464].Uniform [362, 454, 463, 955, 1068, 1165,1230, 1363, 1466, 1515, 201, 258, 363, 602,631, 809, 977, 1134, 1302, 1316]. Uniformly[1541, 21, 385, 413, 1069, 1396]. unilateral[170, 1405]. uniqueness [1471]. unit[299, 797]. unitary [862]. unity [575].Univariate [164, 294, 509, 510]. unknown[1310]. unsteady [1254]. unstructured[607]. unsymmetric [384]. updates[965, 1293, 1538, 1539]. Updating[1298, 1203, 1248]. upper [1298]. Upwind[939, 52, 249, 290, 348, 357, 859, 1031, 1068,1134, 1285, 1292]. upwind- [1134].upwinding [1421]. Use[980, 104, 797, 965, 1256]. user [1345].user-friendly [1345]. Using[460, 1436, 143, 214, 235, 264, 294, 323, 324,330, 453, 461, 478, 519, 563, 596, 600, 608,727, 846, 851, 907, 931, 1002, 1038, 1049, 1066,1105, 1138, 1176, 1368, 1375, 1374, 1537, 491].Uzawa [1128]. Uzawa-based [1128].

30

V [867]. validity [299]. valuation[853, 1549]. value[3, 37, 52, 152, 211, 212, 222, 249, 371, 372,390, 397, 431, 577, 681, 709, 713, 747, 755,813, 843, 863, 896, 992, 1068, 1101, 1147,1162, 1239, 1254, 1360, 1389, 1392, 1391, 1395,1396, 1455, 1459, 1494, 1445, 1439, 1440].valued [180, 744, 954, 1010, 1512]. values[901, 1334]. Vandermonde [821, 1449].Vandermonde-like [821]. vanishing [287].variable [45, 85, 199, 320, 330, 388, 397, 763,922, 921, 1041, 1202, 1299, 1520, 1530].variable-degree [388]. variable-step [320].variably [251]. variance [445]. variants[1359]. variate [747]. variation[157, 242, 243]. Variational[957, 1280, 1288, 1404, 108, 153, 152, 238, 245,387, 402, 462, 588, 590, 681, 718, 812, 834,835, 942, 1007, 1006, 1184, 1197, 1306, 1405].variational-hemivariational [462].variational-iterative [1306].Variational-splitting [957]. varieties[1448]. varying [347, 828]. Vector[744, 103, 630, 1399, 1412]. Vector-valued[744]. vectors [542, 711]. velocity[314, 1028]. Vera [723]. Verification [277].version [159, 201, 699, 698, 791, 816, 844,1167, 1315, 1499]. versions [1379]. versus[443, 738, 747, 819]. vertex [679, 683]. very[430]. via[376, 426, 427, 533, 755, 799, 904, 1112, 1113].vibration [182, 814]. vibrations [158].Vibro [1252]. Vibro-impact [1252]. VIEs[33]. viewpoint [642]. virtual[314, 327, 465]. viscoelasticity [17, 995].viscoplastic [999]. viscosity [768, 831].viscosity-splitting [768]. viscous[940, 1230]. volatilities [853]. volatility[1064, 1237]. Volterra[117, 121, 174, 217, 282, 281, 285, 283, 284,463, 524, 759, 849, 854, 893, 926, 1050, 1051,1052, 1063, 1075, 1076, 1107, 1269, 1327, 1333,1403, 1463, 1492, 1515, 1534, 1407, 1443].Volterra-type [524, 1327]. Volume

[57, 51, 59, 80, 205, 204, 210, 249, 253, 339,349, 356, 355, 354, 369, 400, 420, 543, 545,606, 607, 610, 609, 679, 812, 853, 932, 1157,1168, 1176, 1187, 1305, 1368, 1468, 1524,1525, 1526, 1533, 1549, 61, 64, 66, 68].volume-preserving [1533]. volumes [464].volumetric [1001]. Vortex [1367, 1537].vortices [594, 1388]. vorticity[42, 190, 1062]. Vries [836, 986, 1318].

Waals [137]. Wachspress [733].Wachspress-type [733]. WAF [1411]. walk[573]. Warming [1419]. Warming-Beam[1419]. water [72, 183, 1254]. waterbag[203]. Wave[239, 179, 346, 367, 425, 618, 617, 619, 638,697, 779, 799, 835, 847, 871, 904, 970, 996,1035, 1074, 1167, 1254, 1485, 1499].Wave-number [239]. wave-structure[847]. waveform [1297, 1503]. waveguide[1001]. Wavelet [198, 375, 1380]. wavelets[1174]. waves [602]. Weak [291, 368, 386,437, 962, 1152, 38, 110, 223, 275, 774, 1160].weakly [201, 217, 282, 364, 430, 521, 854,1166, 1187, 1235, 1379, 1403, 1407]. Weber[707]. wedge [91]. Weierstrass [440].weight [367, 1099, 1222]. Weighted [302,1221, 134, 601, 721, 820, 1181, 1262, 1402].weights [1222, 1426]. Weiner [1097].Weiner-Hopf [1097]. Well[1167, 350, 430, 711, 1182, 1294].well-conditioned [711]. well-posed[430, 1294]. Well-posedness [1167].well-reservoir [350]. Wendroff[1045, 1419]. Wendroff-type [1045]. were[775]. Westervelt [930]. which [735, 1547].whole [1426]. Wick [1083]. wide [1247].wider [734]. widths [423]. Wiener[556, 739]. Willmore [152]. Wilson [382].Winther [334]. withdrawal [860]. without[988, 1192, 1246, 1347]. work [549, 554].Wrap [804]. Wrap-around [804].

years [723].

REFERENCES 31

Zakharov [815]. zeros [41, 508, 740, 881,1096, 1097, 1311].

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[137] J. W. Barrett and R. Nurnberg.Convergence of a finite-element ap-proximation of surfactant spreadingon a thin film in the presence ofvan der Waals forces. IMA Jour-nal of Numerical Analysis, 24(2):323–363, April 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240323.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/pdf/240323.pdf.

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Barrett:1998:FEA

[139] John W. Barrett and James F. Blowey.Finite element approximation of amodel for phase separation of a multi-component alloy with a concentration-dependent mobility matrix. IMAJournal of Numerical Analysis, 18(2):287–328, April 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180287.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180287.pdf.

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[140] John W. Barrett and James F.Blowey. An improved error boundfor a finite element approximation ofa model for phase separation of amulti-component alloy. IMA Jour-nal of Numerical Analysis, 19(1):147–168, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/190147.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/pdf/190147.pdf.

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[145] John W. Barrett and Charles M. El-liott. Fitted and unfitted finite-elementmethods for elliptic equations withsmooth interfaces. IMA Journal of Nu-merical Analysis, 7(3):283–300, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

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[146] John W. Barrett and Charles M. El-liott. Total flux estimates for a finite-element approximation of elliptic equa-tions. IMA Journal of Numerical Anal-

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[147] John W. Barrett and Charles M. El-liott. Finite-element approximation ofelliptic equations with a Neumann orRobin condition on a curved bound-ary. IMA Journal of Numerical Anal-ysis, 8(3):321–342, 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

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[148] John W. Barrett and Charles M.Elliott. Finite-element approxima-tion of a plasma equilibrium prob-lem. IMA Journal of Numerical Anal-ysis, 9(4):443–464, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

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[152] John W. Barrett, Harald Garcke,and Robert Nurnberg. Stable vari-ational approximations of boundaryvalue problems for Willmore flow withGaussian curvature. IMA Journalof Numerical Analysis, 37(4):1657–1709, October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1657/3063839.

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[153] John W. Barrett and Leonid Prigozhin.Sandpiles and superconductors: non-conforming linear finite element ap-proximations for mixed formulationsof quasi-variational inequalities. IMAJournal of Numerical Analysis, 35(1):1–38, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.

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