Appendix A Hans Lewy’s Recovered String Trio3A978-0-8176-8394-8%2F1.pdftic media 12:00–12:30...

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Appendix A Hans Lewy’s Recovered String Trio Lori Courant Lax Played by Lori Courant Lax, viola, Dorothy Strahl, violin, and Carol Buck, cello Hans Lewy was a musical prodigy. As a child he gave rave-review violin concerts. He also learned music theory and started to compose. But at 19 or 20 he began to turn to mathematics. He studied with my father, Richard Courant, and often came to the chamber music evenings of my mother, Nina. On one occasion he brought a string trio he had written, and my mother and her friends tried to play it. They didn’t do very well, and Hans, with his typical explosiveness, grabbed the parts, tore them up, and threw them on the floor. “But I liked it!” said my mother as she gathered up the scraps. She laboriously copied the parts, made a score, numbered the measures—all without the help of whiteout or xerox. I found the Lewy trio among my mother’s papers after her death. Enclosed here is a recording of one movement of it, a romantic, gracious waltz, played by Dorothy Strahl, violin, Carol Buck, cello, and myself on the viola. L. Courant Lax ( ) New York, USA e-mail: [email protected] C.A. de Moura, C.S. Kubrusly (eds.), The Courant–Friedrichs–Lewy (CFL) Condition, DOI 10.1007/978-0-8176-8394-8, © Springer Science+Business Media New York 2013 157

Transcript of Appendix A Hans Lewy’s Recovered String Trio3A978-0-8176-8394-8%2F1.pdftic media 12:00–12:30...

Page 1: Appendix A Hans Lewy’s Recovered String Trio3A978-0-8176-8394-8%2F1.pdftic media 12:00–12:30 José Cal Neto Obtaining numerically all the solutions of Ambrosetti–Prodi type PDEs

Appendix AHans Lewy’s Recovered String Trio

Lori Courant Lax

Played by Lori Courant Lax, viola, Dorothy Strahl, violin,and Carol Buck, cello

Hans Lewy was a musical prodigy. As a child he gave rave-review violin concerts.He also learned music theory and started to compose. But at 19 or 20 he began toturn to mathematics. He studied with my father, Richard Courant, and often cameto the chamber music evenings of my mother, Nina.

On one occasion he brought a string trio he had written, and my mother andher friends tried to play it. They didn’t do very well, and Hans, with his typicalexplosiveness, grabbed the parts, tore them up, and threw them on the floor.

“But I liked it!” said my mother as she gathered up the scraps. She laboriouslycopied the parts, made a score, numbered the measures—all without the help ofwhiteout or xerox.

I found the Lewy trio among my mother’s papers after her death. Enclosed hereis a recording of one movement of it, a romantic, gracious waltz, played by DorothyStrahl, violin, Carol Buck, cello, and myself on the viola.

L. Courant Lax (�)New York, USAe-mail: [email protected]

C.A. de Moura, C.S. Kubrusly (eds.), The Courant–Friedrichs–Lewy (CFL) Condition,DOI 10.1007/978-0-8176-8394-8, © Springer Science+Business Media New York 2013

157

mailto:[email protected]
http://dx.doi.org/10.1007/978-0-8176-8394-8
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158 L. Courant Lax

Fig. 1 A piece of Lewy’s recovered string trio score

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A Hans Lewy’s Recovered String Trio 159

Fig. 2 Musicians Dorothy Strahl (violin) and Lori Courant Lax (viola); and Carol Buck (cello)(Photos from L. Courant Lax files)

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Appendix B

Reprint of CFL original paper

C.A. de Moura, C.S. Kubrusly (eds.), The Courant–Friedrichs–Lewy (CFL) Condition,DOI 10.1007/978-0-8176-8394-8, © Springer Science+Business Media New York 2013

161

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Appendix B 163

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164 Appendix B

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Appendix B 165

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166 Appendix B

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Appendix B 167

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168 Appendix B

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Appendix B 169

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170 Appendix B

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Appendix B 171

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172 Appendix B

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Appendix B 173

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174 Appendix B

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Appendix B 175

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176 Appendix B

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Appendix B 177

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178 Appendix B

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Appendix B 179

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180 Appendix B

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Appendix B 181

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182 Appendix B

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Appendix B 183

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184 Appendix B

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Appendix B 185

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186 Appendix B

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Appendix B 187

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188 Appendix B

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Appendix B 189

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190 Appendix B

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Appendix B 191

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192 Appendix B

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Appendix B 193

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194 Appendix B

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Appendix B 195

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196 Appendix B

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Appendix B 197

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198 Appendix B

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Appendix B 199

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200 Appendix B

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Appendix B 201

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202 Appendix B

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Appendix B 203

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204 Appendix B

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Appendix B 205

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Appendix C

Reprint of CFL paper English translation1

1Special permission granted by IBM Journal of Research and Development.

C.A. de Moura, C.S. Kubrusly (eds.), The Courant–Friedrichs–Lewy (CFL) Condition,DOI 10.1007/978-0-8176-8394-8, © Springer Science+Business Media New York 2013

207

http://dx.doi.org/10.1007/978-0-8176-8394-8
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Appendix C 209

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210 Appendix C

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Appendix C 211

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212 Appendix C

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Appendix C 213

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214 Appendix C

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Appendix C 215

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216 Appendix C

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Appendix C 217

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218 Appendix C

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Appendix C 219

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220 Appendix C

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Appendix C 221

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222 Appendix C

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Appendix C 223

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224 Appendix C

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Appendix C 225

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226 Appendix C

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Appendix C 227

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228 Appendix C

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Appendix D

Event schedule and list of supporters, organizers, lecturers, and attendees

Technical sessions schedule

Monday, May 3rd

12:30–13:30 Barbara Lee KeyfitzSingular Shocks and Loss of Hyperbolicity in Conservation LawsChair: Leon Sinay

15:30–16:30 Philippe G. LeFlochUndercompressive shocks and kinetic relationsChair: Wladimir Neves

Contributed Papers – Session 116:30–17:00 Stefan Berres30 years MLB model for polydisperse suspensions: a particular non-convex systemmodeling particle flow17:00–17:30 José Pontes (speaker), Daniel Walgraef, Christo I. ChristovA second order in time numerical scheme for solving reaction–diffusion equationsmodeling dislocation dynamics in materials subjected to cyclic loadingChair: Sandra Malta

C.A. de Moura, C.S. Kubrusly (eds.), The Courant–Friedrichs–Lewy (CFL) Condition,DOI 10.1007/978-0-8176-8394-8, © Springer Science+Business Media New York 2013

229

http://dx.doi.org/10.1007/978-0-8176-8394-8
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230 Appendix D

Tuesday, May 4th

10:00–11:00 Carlos TomeiThe weird topology of the discretization of simple nonlinear DEsChair: Carlos A. de Moura

11:30–12:30 Poster sessionVálter A. Nascimento

Study of solitons in the Gross–Pitaevskii equation using variational approximationin quantum gases

Patricia N. da Silva and Carlos F. VasconcellosRemarks on the General Linear Kawahara System

Margarete Domingues, S. M. Gomes, O. Roussel and K. SchneiderAdaptive multiresolution methods for 3D Euler equations: a case studyChair: Augusto Cesar de C. Barbosa

12:30–13:30 Kai SchneiderLocal CFL condition for space-time adaptive multiresolution methodsChair: Sônia Gomes

15:30–16:30 Reuben HershComputational results leading to mathematical knowledgeChair: Djairo Guedes de Figueiredo

16:30–17:30 Round TableParallel, non-deterministic, multiscale algorithms – whats ahead?Antônio J. Silva Neto and Haroldo F. Campos VelhoChair: Carlos A. de Moura

Contributed Papers – Session 218:00–18:30 Peter FrolkovicRelaxing the CFL condition for flux-based finite volume methods18:30–19:00 Eduardo AbreuComputation of nonclassical wave for a 2 × 2 system modelingimmiscible three-phase flow in porous mediaChair: Margarete Domingues

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Appendix D 231

Wednesday, May 5th

10:00–11:00 Maria Assunção F. da Silva DiasNumerical weather prediction challengesChair: Haroldo F. Campos Velho

11:30–12:30 Djairo Guedes de FigueiredoOn semilinear elliptic systemsChair: Pedro Leite da Silva Dias

12:30–13:30 Rolf JeltschNumerical Simulation of Compressible Magnetohydrodynamic Plasma Flowin a Circuit BreakerChair: Antônio J. Silva Neto

15:30–17:30 João Candido PortinariThe Portinari Project: From the Coffee Plantation to the United NationsChair: Mauricio V. Kritz

18:00–19:00 Peter D. LaxStability of difference schemes for hyperbolic equationsChair: Pedro Nowosad

19:00–20:00 Special session honoring Peter D. Lax

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232 Appendix D

Thursday, May 6th

10:00–11:00 Enrique ZuazuaConvergence rates for dispersive approximation schemes to nonlinear SchrödingerEquationsChair: Mauricio Kischinhevsky

Contributed Papers – Session 311:30–12:00 Dmitry Vishnevskiy (speaker) and Vadim LisitsaExplicit finite difference scheme for waves propagation in arbitrary anisotropic elas-tic media12:00–12:30 José Cal NetoObtaining numerically all the solutions of Ambrosetti–Prodi type PDEsChair: Sanderson Gonzaga

12:30–13:30 Uri AscherThe chaotic nature of faster gradient descentChair: Jorge Zubelli

15:30–16:30 Ken McLaughlinAsymptotic analysis of Riemann–Hilbert problems: singular limits and a few tricksChair: Carlos Tomei

Contributed Papers – Session 416:30–17:00 Nguyen H. HoangLp-weighted theory for Navier–Stokes equations in exterior domains17:00–17:30 V. Ruas (speaker), J. Henrique Carneiro de Araujo, P. Dias GomesExplicit finite element solution of time-dependent viscoelastic flow problemsChair: Helio Pedro Amaral Souto

18:00 Closing session

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Appendix D 233

List of supporting institutions

UERJ Rio de Janeiro State UniversityGraduate Program of Computational SciencesGraduate Program of Mechanical EngineeringIME—Mathematics and Statistics InstituteIPRJ—Rio de Janeiro Polytechnic Institute

LNCC Brazilian National Laboratory for Scientific ComputingINCTMat Brazilian National Institute for Mathematics in Science and Technol-

ogyUFRJ Rio de Janeiro Federal University

COPPE—Engineering Graduate ProgramIM—Mathematics Institute

PUC-Rio Rio de Janeiro Pontifical Catholics UniversityElectrical Engineering Graduate ProgramMathematics Department

IMPA Brazilian National Pure and Applied Mathematics InstituteUFF Rio de Janeiro State Federal University

IC—Computing Science InstituteSBMAC Brazilian Society for Computational and Applied MathematicsSBM Brazilian Mathematics SocietyABC Brazilian Sciences AcademySBPC Brazilian Society for the Advancement of Sciences

Portinari ProjectCNPq Brazilian Council for Scientific and Technological DevelopmentCAPES Brazilian Coordination for Graduate Studies SupportFAPERJ Rio de Janeiro Foundation for Scientific Research Support

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234 Appendix D

List of lecturers, attendees, and organizers

1 Alexandre Madureira LNCC Brazil2 Alvaro L. G. A. Coutinho

Program & Organizing CommitteeCoppe-UFRJ Brazil

3 Américo Barbosa da Cunha Jr. PUC-Rio Brazil4 Anna Karina Fontes Gomes INPE Brazil5 Antônio J. Silva Neto

Invited PanelistIPRJ-UERJ Brazil

6 Antonio Roberto Mury LNCC Brazil7 Aylton Cordeiro Neto IME-UERJ Brazil8 Barbara Keyfitz

Invited LecturerOhio St. University USA

9 Bruno Osório Rodrigues UERJ Brazil10 Carlos A. de Moura

Program & Organizing CommitteeIME-UERJChair

Brazil

11 Carlos Eduardo Hirakawa IME-UERJ Brazil12 Carlos F. Vasconcellos

Contributed paperIME-UERJ Brazil

13 Carlos E. Mathias Motta IM-UFF Brazil14 Carlos S. Kubrusly

Program & Organizing CommitteePUC-RioEditor

Brazil

15 Carlos Saver IMPA Brazil16 Carlos Tomei

Program & Organizing CommitteeInvited Lecturer

PUC-Rio Brazil

17 Caroline dos Santos de Moraes IME-UERJ Brazil18 Christo I. Christov

Contributed paperUniv. Louisiana atLafayette

USA

19 Daniel WalgraefContributed paper

Université Libre deBruxelles

Belgium

20 Danielle Gonçalves Teixeira IME-UERJ Brazil21 Deise Lilian de Oliveira IME-UERJ Brazil22 Diego Brandão UFF Brazil23 Djairo Guedes de Figueiredo

Invited LecturerIMECC-UNICAMP Brazil

98 Dmitriy VishnevskiyContributed paper

Inst. Petroleum Geologyand Geophysics,Novosibirsk

Russia

24 Douglas Milanez Marques IF-UERJ Brazil25 Eduardo Cardoso de Abreu

Contributed paperIMPA Brazil

26 Eduardo Teles da Silva PUC-Rio Brazil27 Emílio Jorge Lydia IF-UERJ Brazil

Page 75: Appendix A Hans Lewy’s Recovered String Trio3A978-0-8176-8394-8%2F1.pdftic media 12:00–12:30 José Cal Neto Obtaining numerically all the solutions of Ambrosetti–Prodi type PDEs

Appendix D 235

28 Enrique ZuazuaInvited Lecturer

Basque Center AppliedMath.

Spain

29 Erick Edgar Auiaga Sanz IME-UERJ Brazil30 Fabiana Fortes Rodrigues IME-UERJ Brazil31 Felipe Bottega Diniz IME-UERJ Brazil32 Haroldo Fraga de Campos Velho

Invited PanelistINPE Brazil

33 Helio Pedro Amaral SoutoProgram & Organizing Committee

IPRJ-UERJ Brazil

34 Hilário AlencarProgram & Organizing Committee

SBM Brazil

35 Huy Hoang NguyenContributed paper

Unicamp Brazil

36 Italo Marinho Sá Barreto UERJ Brazil37 Jacob Palis

Program & Organizing CommitteeABC Brazil

38 Jacqueline Telles de S. RaposoSecretary chair

UERJ Brazil

39 Jeanne Denise Bezerra de Barros IME-UERJ Brazil40 Jhoab Pessoa de Negreiros IME-UERJ &

UniGranrioBrazil

41 João Cândido PortinariInvited Lecturer

PUC-Rio Brazil

42 Jorge Passamani ZubelliProgram & Organizing Committee

IMPA Brazil

43 José Alberto CuminatoProgram & Organizing Committee

ICMC-USP Brazil

44 José Cal NetoContributed paper

PUC-Rio Brazil

45 José da Rocha Miranda PontesContributed paper

UFRJ Brazil

46 Júlio Daniel Machado Silva IMPA Brazil47 Kai Schneider

Invited LecturerUniversité de Provence France

48 Ken McLaughlinInvited Lecturer

University of Arizona USA

49 Lená Medeiros de Menezes SR1-UERJ Brazil50 Leon Sinay

Session chairLNCC Brazil

51 Leonardo Espin IMPA Brazil52 Lori Courant Lax

Invited MusicianUSA

53 Lucianna Helene S dos Santos IME-UERJ Brazil54 Luiz Felipe N. Soares IME-UERJ Brazil55 Márcio Coutinho B. Cortes Filho IME-UERJ Brazil

Page 76: Appendix A Hans Lewy’s Recovered String Trio3A978-0-8176-8394-8%2F1.pdftic media 12:00–12:30 José Cal Neto Obtaining numerically all the solutions of Ambrosetti–Prodi type PDEs

236 Appendix D

56 Marco Antonio RauppProgram & Organizing Committee

SBPC Brazil

57 Margarete Oliveira DominguesSession chair

INPE Brazil

58 Maria Assunção F. Silva DiasInvited Lecturer

IAG-USP Brazil

59 Maria Georgina M. Washington CTC-UERJ Brazil60 Maria Herminia de P. R. Mello IME-UERJ Brazil61 Maurício Kischinhevsky

Program & Organizing CommitteeUFF Brazil

62 Maurício KritzSession chair

LNCC Brazil

63 Moisés Ceni de Almeida IME-UERJ Brazil64 Monica da Costa P. L. Heilbron SR2-UERJ Brazil65 Nirzi Gonçalves de Andrade UFF-EEIMVR Brazil66 Norberto Mangiavacchi

Program & Organizing CommitteeFEN-UERJ Brazil

67 Patrícia Nunes da SilvaContributed paper

IME-UERJ Brazil

68 Pedro Henrique Gonzalez Silva IME-UERJ Brazil69 Pedro Antonio Santoro Salomão IME-USP Brazil70 Pedro Leite da Silva Dias

Program & Organizing CommitteeLNCC Brazil

71 Pedro NowosadSession chair

IMPA & USP Brazil

72 Peter FrolkovicContributed paper

Slovakia Univ. ofTechnology

Slovakia

73 Peter LaxMain Lecturer

NYU USA

74 Philippe G. LeFlochInvited Lecturer

Université de Paris France

75 Priscilla Fonseca de Abreu IME-UERJ Brazil76 Ralph dos Santos Mansur IME-UERJ Brazil77 Raquel Cupolillo S. de Sousa IME-UERJ Brazil78 Regia Gonçalves UFF Brazil79 Reuben Hersh

Invited LecturerNew Mexico University USA

80 Roger Cristiano Brock UERJ Brazil81 Rolf Jeltsch

Invited LecturerETH, Zürich Germany

82 Rose Pereira Maria IME-UERJ Brazil83 Roseli S. Wedemann IME-UERJ Brazil

Page 77: Appendix A Hans Lewy’s Recovered String Trio3A978-0-8176-8394-8%2F1.pdftic media 12:00–12:30 José Cal Neto Obtaining numerically all the solutions of Ambrosetti–Prodi type PDEs

Appendix D 237

84 Sanderson GonzagaSession chair

DCC-UFLA Brazil

85 Sandra MaltaSession chair

LNCC Brazil

86 Sandra MouraWeb design

Brazil

87 Sergio Luiz Silva IME-UERJ Brazil88 Simone Santana Franco

Secretary co-chairLNCC Brazil

89 Sonia Maria GomesSession chair

UNICAMP Brazil

90 Stephan BerresContributed paper

Univ. Católica deTemuco

Chile

91 Tânia Maria R. de SouzaArt design

Brazil

92 Uri AscherInvited Lecturer

Univ. British Columbia Canada

93 Vadim LisitsaContributed paper

Inst. Petroleum Geologyand Geophysics,Novosibirsk

Russia

94 Válter A. NascimentoContributed paper

UFMS Brazil

95 Vanessa de Freitas Rodrigues IME-UERJ Brazil96 Vanessa Simões IMPA Brazil97 Vinicius Buçard de Castro IME-UERJ Brazil99 Vitoriano Ruas

Contributed paperUFF Brazil

100 Wladimir NevesProgram & Organizing Committee

IM-UFRJ Brazil

101 Walcy Santos IM-UFRJ Brazil


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