NUMERICAL ANALYSIS

AND APPLIED MATHEMATICS

ICNAAM 2012

International Conference of Numerical Analysis and Applied Mathematics

Kos, Greece 19-25 September 2012

Volume A

EDITOR

Theodore E. Simos

European Society of Computational Methods in Sciences, Engineering, and Technology (ESCMSET),European Academy of Sciences; European Academy of Sciences and Arts

European Academy of Arts, Sciences and Literature; King Saud University, Saudi Arabia

University of Peloponnese, Greece

CO-EDITORS

George PsihoyiosEuropean Society of Computational Methods in Sciences, Engineering, and Technology (ESCMSET);

Fellow of the IMA; Greece

Ch.Tsitouras

Technological Educational Institute ofChalkis, Greece

Zacharias Anastassi

School of Pedagogical & Technological Education (ASPETE), Athens, Greece

All papers have been peer reviewed.

SPONSORING ORGANIZATIONS

European Society of Computational Methods in Sciences, Engineering and Technology (ESCMSET)The R. M. Santilli Foundation

AIPMelville, New York, 2012

American Institute_

of Physics AIP I CONFERENCE PROCEEDINGS 1479

AIP Conference Proceedings, Volume 1479

Numerical Analysis and Applied Mathematics ICNAAM 2012

International Conference of Numerical Analysis and Applied Mathematics

Table of Contents

Preface: Proceedings of the International Conference on Numerical Analysis and AppliedMathematics 2012 (ICNAAM-2012)

Theodore E. Simos, George Psihoyios, Ch. Tsitouras, and Zacharias Anastassi 1

Conference Details 3

European Society of Computational Methods in Sciences, Engineering and Technology(ESCMSET)

VOLUME A

INVITED PAPERS

The importance of Pappus for the development of mathematics

Gerhard Wanner 9

Explicit stabilized integration of stiff determinisitic or stochastic problems

Assyr Abdulle 11

Geometric integration by playing with matrices

Luigi Brugnano and Felice Iavernaro 16

Stroboscopic averaging in Banach spaces: Application to NLS

F. Castella, Ph. Chartier, F. Mehats, and A. Murua 20

Conjugate symplectic B-series

Ernst Hairer and Christophe J. Zbinden 23

Foundations of Geometric Algebra computingDietmar Hildenbrand 27

Convergence of piecewise deterministic processes modeling two-scale reaction networks

Tobias Jahnke 31

The novel mathematics underlying hadronic mechanics for matter and antimatter

Ruggero Maria Santilli 35

v

A new approach to high-order averaging

P. Chartier, A. Murua, and J. M. Sanz-Serna

SYMPOSIA

Preface of the "7th symposium on numerical analysis of fluid flow and heat transfer"

Pawel Kosinski

Numerical investigation on heat transfer in power-law fluids with variable thermal diffusivity in

the presence of viscous dissipation and radiation

Botong Li, Liancun Zheng, and Xinxin Zhang

Marangoni convection flow and heat transfer in pseudoplastic non-newtonian nanofluids with

radiation effects and heat generation or absorption effects

Yanhai Lin, Liancun Zheng, and Xinxin Zhang

Numerical simulation of cavitating tube problems with isothermal model

Eric Goncalves and Jean Decaix

Study of compressibility effects on turbulent cavitating flows

Jean Decaix and Eric Goncalves

Hyperbolic systems of conservation laws for compressible multiphase flows based on

thermodynamically compatible systems theory

E. Romenski

Heat transfer coefficient of nanofluids in minichannel heat sink

Adi T. Utomo, Ashkan I. T. Zavareh, Heiko Poth, Mohd Wahab, Mohammad Boonie,

Phillip T. Robbins, and Andrzej W. Pacek

Numerical and experimental analysis ofa flow confined by a wire screen

Herbert Obame Mve, Romuald Rulliere, Remi Goulet, and Philippe Haberschill

Some advances in the characterization of gas and solid mixtures under low pressure conditions

J. R. Garcia-Cascales, R. A. Oton-Martmez, F. Vera-Garcia, S. Amat-Plata, F. J. Sanchez-Velasco,

A. Bentaib, N. Meynet, and A. Bleyer

Numerical simulation on gas-cooled closely-packed solid specimens

Yuming Chen and Frederik Arbeiter

Lattice Boltzmann modeling of thermal explosion in dynamic mixtures

Vasily Novozhilov and Conor Byrne

Modeling of low-capillary number segmented flows in microchannels using OpenFOAMD. A. Hoang, V. van Steijn, L. M. Portela, M. T. Kreutzer, and C. R. Kleijn

vi

Simulation of Rayleigh-Taylor instability by Smoothed Particle Hydrodynamics: Advantages

and limitations

Mostafa Safdari Shadloo and Mehmet Yildiz 90

Modelling of bubble rising by smoothed particle hydrodynamics method

N. Tofighi, A. Zainali, and M. Yildiz 95

Multi-fluid pipe flow model for analysis of wellbore dynamics

B. Krasnopolsky, A. Starostin, and A. Osiptsov 99

Representation of deformable bubbles by analytically defined shapes in an immersed boundarymethod

S. Schwarz and J. Frohlich 104

Parallelization ofthe SIP algorithmF. Dierich and P. A. Nikrityuk 109

Numerical simulations of the interaction between a settling particle and a rising microbubble

Henrik Strom, Ebrahim Karimi Sibaki, and Srdjan Sasic 113

Modelling isothermal bubbly-cap flows using two-group averaged bubble number density

approach

S. C. P. Cheung, G. H. Yeoh, and J. Y. Tu 117

Large eddy simulation of atmospheric boundary layer over wind farms using a prescribed

boundary layer approach

H. Sarlak, J. N. S0rensen, and R. Mikkelsen 121

Knowledge based system for runtime controlling of multiscale model of ion-exchange solvent

extraction

Piotr Maciot, Leszek Gotfryd, and Andrzej Maciot 125

Unsteady heat transfer through a longitudinal fin: An investigation into the effects of key

parameters

C. Harley 129

Velocity field around a falling particle

Zdenek Chara, Bohus Kysela, and Pavel Vlasak 133

Grooved surfaces for laminar drag reduction

J. M. Floryan and H. V. Moradi 137

Numerical modeling and parameters identification of overland and channel flows in watersheds

K. El Wassifi, A. Ouahsine, H. Smaoui, R. Khiri, and P. Sergent 141

vii

On the Stokes operator associated with the flow through a cascade of profiles

TomaS Neustupa

Buoyancy induced mobility in two-phase debris flow

Shiva P. Pudasaini and Stephen A. Miller

Numerical solution of Newtonian fluids flow through the branching channel

R. Keslerova, K. Kozel, and P. Louda

Advanced computational single- &multi-fluid flow and heat transfer using HPC systems

Djamel Lakehal

Study of motion of flexible eel from the wake of bluff body in a cross flow

Vai Kuong Sin, Wen Yue Deng, and Wei Hang Xiao

Compressible gas-solid mixture conservation laws simulations

D. Zeidan, A. Slaouti, and R. Touma

Numerical simulation of cavitating tube problems with non-isothermal model

E. Goncalves and D. Zeidan

Mathematical modeling of fluid flow in aluminum ladles for degasification with

impeller - injector

E. Ramos-Gomez, C. Gonzalez-Rivera, and M. A. Ramfrez-Argaez

Mathematical modeling of a gas jet impinging on a two phase bath

J. Delgado-Alvarez, Marco A. Ramirez-Argaez, and C. Gonzalez-Rivera

Modeling of generalized Newtonian fluid flow at a fluid-porous interface

Maret Cloete and Francois Smit

Numerical investigation of the flow around the KVLCC2 hull in static drift motion

Oana Marcu and Adrian Lungu

RANS simulation of the planar motion mechanism tests for a VLCC hull

Oana Marcu and Dan Constantin Obreja

CFD modeling of PEPT results of particle motion trajectories in a pipe over an obstacle

Maryam Ghaffari, Yu-Fen Chang, Boris Balakin, and Alex C. Hoffmann

A real two-phase submarine debris flow and tsunami

Shiva P. Pudasaini and Stephen A. Miller

Modeling of UF6 enrichment with gas centrifuges for nuclear safeguards activities

G. Mercurio, P. Peerani, P. Richir, W. Janssens, and G. Eklund

viii

An effective approach for designing circular pipes with the Colebrook-White formula

Giacomo Viccione and Vincenzo Tibullo 205

Simulating fluid-structure interaction with SPH

Giacomo Viccione, Vittorio Bovolin, and Eugenio Pugliese Carratelli 209

The energy spectrum for stochastic eddies with gamma distribution

Rukiye Kara and Mine Caglar 213

Deposition capabilities of turbulent particle-laden flow passing an obstacle using experimentand CFD

Maryam Ghaffari, Anders Vestvik, Boris Balakin, and Alex C. Hoffmann 217

Computational modeling of droplet based logic circuits

Princia Anandan, Florinda Schembri, and Maide Bucolo 220

Preface ofthe "Fifth symposium on recent trends in the numerical solution of differential

equations"

Luigi Brugnano and Ewa Weinmuller 224

Numerical methods for nonlinear singular Volterra integral equations

Teresa Diogo and Magda Rebelo 226

The construction of well-conditioned wavelet basis based on quadratic B-spIinesDana Cerna and Vaclav Finek 230

Active and passive symmetrization of Runge-Kutta Lobatto IIIA methods

A. Gorgey and R. P. K Chan 234

Recent advances on the parallelization of Gauss methods

Luigi Brugnano, Felice Iavernaro, and Tiziana Susca 238

Finite difference approximation of hedging quantities in the Heston model

Karel in t Hout 242

Numerical solution of two-dimensional integral-algebraic systems using Legendre functions

S. Nemati, P. Lima, and Y. Ordokhani 246

Generalized Adams methods for fractional differential equations

Lidia Aceto, Cecilia Magherini, and Paolo Novati 250

A non-polynomial collocation method for fractional terminal value problems

M. L. Morgado, M. Rebelo, and N. J. Ford 254

Where have all the digits gone?Sarah E. Reimer and Manfred R. Trummer 258

ix

Two-derivative Runge-Kutta methods for differential equations

Robert P. K. Chan, Shixiao Wang, and Angela Y. J. Tsai 262

A smooth solution to singular ODEs

G. Vainikko 267

Preface of the "9,h symposium on Clifford analysis and applications"K. Guerlebeck and W. Sproessig 271

On modified quaternionic analysis, irrotational velocity fields and new applications of the Riesz

system in R3

Dmitry Bryukhov 275

An overview on the inverse Fueter mapping theorem

Fabrizio Colombo, Irene Sabadini, and Franciscus Sommen 279

On the structure of generalized Appell sequences of paravector valued homogeneous monogenic

polynomials

C. Cruz, M. I. Falcao, and H. R. Malonek 283

Complex dilations, shearings, and rotations

Milton Ferreira 287

An explicit formula for the monogenic SzegS kernel function on 3D spheroidsS. Georgiev and J. Morais 292

Selfdual 2-forms in dimension 4 and their Fischer decompositionFred Brackx, Hennie De Schepper, Luka§ Krump, and Vladimir Soucek 296

Exactness ofthe generalized Dolbeault complex for k Dirac operators in the stable rank

Lukas Krump and Tomas Salac 300

Branching of monogenic polynomials

F. Brackx, H. De Schepper, and R. Lavicka 304

On a special finite element based on holomorphic functions

S. Bock, K. Giirlebeck, and D. Legatiuk 308

Pascal's triangle and other number triangles in Clifford analysis

G. Tomaz, M. I. Falcao, and H. R. Malonek 313

Geometric calculus-based postulates for the derivation and extension of the Maxwell equations

Gene E. McClellan 317

x

The generating function of the Clifford-Gegenbauer polynomialsHendrik De Bie, Dixan Pena Pena, and Frank Sommen 321

Schur analysis in the slice hypercomplex setting

Daniel Alpay, Fabrizio Colombo, and Irene Sabadini 325

On motion

Bernd Schmeikal 329

A fifth order conformally invariant higher spin operator on the sphereDalibor Smid 332

Cauchy-type theorems on surfaces

F. Sommen 336

The Fueter theorem by representation theory

David Eelbode, Peter Van Lancker, and Vladimir Soucek 340

Preface on the "3rd symposium on generating functions of special numbers and polynomials and

their applications"

Yilmaz Simsek 344

A study on the Hurwitz-Lerch zeta function and some identities on the Frobenious-Euler

polynomials

Veli Kurt 345

Remarks on the Frobenius-Euler polynomials on the umbral algebraRahime Dere and Yilmaz Simsek 348

Some identities on the second kind Bernoulli polynomials of order a and second kind Euler

polynomials oforder a

Burak Kurt 352

Weber functions and Weierstrass sigma function associated with Hecke operators

A. Ahmet Aygunes 356

Bernoulli polynomial approach to high-order linear differential-difference equations

Kubra Erdem and Salih Yalcinbas 360

Some formulae for the Zagreb indices ofgraphsIsmail Naci Cangul, Aysun Yurttas, Muge Togan, and Ahmet Sinan Cevik 365

Determining the minimal polynomial of cos(2;r//i) over Q with Maple

Birsen Ozgur, Aysun Yurttas, and Ismail Naci Cangul 368

xi

Calculation of the minimal polynomial of 2cos(rc//i) over Q with Maple

Aysun Yurttas, Birsen Ozgur, and Ismail Naci Cangul 371

On Dedekind modules

Mustafa Alkan 375

A property of convolution sum for divisor functions

Daeyeoul Kim and Aeran Kim 379

A method for obtaining expressions for polynomials based on a composition of generating

functions

D. V. Kruchinin and V. V. Kruchinin 383

Algebraic structures of sequences of numbers

I-Chiau Huang 387

Analyzing special parameters over zero-divisor graphsNihat Akgiines 390

Neighborhoods of a class of analytic functions defined by using a differential equation

Osman Altintas and Oznur Ozkan 393

Some important physical properties of laminated veneer lumber (Lvl) made from oriental beech

and Lombardy poplarMurat K1I19 397

A study on Marangoni convection by the variational iteration method

Onur Karaoglu and Galip Oturan9 402

Relations between Eulerian polynomials and array polynomials

Yilmaz Simsek 407

Preface for the "Symposium on statistics and modeling III"

Milan Stehlik 412

Model selection for logistic regression models

Christine Duller 414

Multivariate "pseudodistributions" as natural extensions of the multivariate normal density

pattern - theory

Jerzy K. Filus and Lidia Z. Filus 417

Multivariate "pseudodistributions" pattern - applications

Jerzy K. Filus and Lidia Z. Filus 421

xii

Quantitative assessment of scientific quality 424

Harald Heinzl and Philipp Bloching

Mobius transformational high dimensional model representation on multi-way arrays

Evrim Korkmaz Ozay 427

A new and easy to use method to evaluate interaction in block designsKarlModer 431

Consistency ofthe empirical quantization error

Klaus Potzelberger 435

A note on asymptotic uniform confidence bands in a multivariate statistical deconvolution

problemKatharina Proksch, Nicolai Bissantz, and Holger Dette 438

Exact distributions under non-standard model assumptions

Wolf-Dieter Richter 442

Issues on machine learning for prediction ofclasses among molecular sequences ofplantsand animals

Milan Stehlik, Bhasker Pant, Kumud Pant, and K. R. Pardasani 446

On simulation of exact tests in Rayleigh and normal families

Lubos Stfelec and Milan Stehlik 449

Preface of the "2nd symposium on computer languages, implementations and tools" -SCLIT

2012-

Zoran Budimac 453

Testing framework for embedded languages

Daniel Lesko and Mate Tejfel 454

A g++ extension for supporting nontrivial designated initializers

Hemang Mehta, S. J. Balaji, and Dharanipragada Janakiram 458

Language abstractions for low level optimization techniques

Gergely Devai, Zoltan Gera, and Zoltan Kelemen 462

Object-file-format description language and its usage in retargetable decompilationJakub Kfoustek and Du§an Kolaf 466

The impact of structural source code changes on software qualityCrt Gerlec and Marjan Heridko 470

xiii

Classical computation with negation

DragiSa ZuniC and Pierre Lescanne 474

Towards an agent-oriented programming language based on Scala

Dejan Mitrovic, Mirjana Ivanovic, and Zoran Budimac 478

Generalizing the extensibility of a dynamic geometry software

Dorde Herceg, Davorka Radakovic, and Dejana Herceg 482

Extractor of software networks from enriched concrete syntax trees

MiloS Savic, Gordana Rakic, Zoran Budimac, and Mirjana Ivanovic 486

Task-specific style verification

Norbert Pataki, Tamas Cseri, and Zalan Sziigyi 490

Preface of the "Symposium on dynamical systems: A framework for robot locomotion"

Carla M. A. Pinto and Cristina P. Santos 494

Sensitivity analysis of multi-objective optimization of CPG parameters for quadruped robot

locomotion

Miguel Oliveira, Cristina P. Santos, and Lino Costa 495

Reinforcement learning: Solving two case studies

Ana Filipa Duarte, Pedro Silva, and Cristina Peixoto dos Santos 499

Velocity control of a two DOF walking system

Jose Pontes and Cristina P. Santos 503

Design and modelling of a 3D compliant leg for Bioloid

Mafalda Couto, Cristina Santos, and Jose" Machado 507

Quadruped robots' modular trajectories: Stability issues

Carla M. A. Pinto 511

Preface ofthe "Symposium on quantum field theory II"

RalfHofmann 516

PT quantum mechanics - Recent results

Carl M. Bender 517

Non-perturbative aspects of hadron structure in QCD

Anthony W. Thomas 522

Non-Abelian strings in supersymmetric Yang-MillsM. Shifrnan 525

xiv

Non-perturbative QCD seen from the property of effective localityT. Grandou 530

A new, analytic, non-perturbative, gauge-invariant formulation of realistic QCDH. M. Fried, T. Grandou, Y. Gabellini, and Y.-M. Sheu 535

ClassicaUy spinning and isospinning solitons

Richard A. Battye and Mareike Haberichter 536

Pressure of the 0(N) model in 1 + 1 dimensions

Francesco Giacosa, Stefano Lottini, Elina Seel, and Dominik Smith 541

Applications of Yang-Mills thermodynamics

Markus Schwarz 545

Fundamental and effective Yang-Mills vertices

RalfHofmann 549

Preface of the "Symposium on numerical functional analysis"Allaberen Ashyralyev 554

Approximate solutions of delay parabolic equations with the Neumann condition

Allaberen Ashyralyev and Deniz Agirseven 555

Navier-Stokes problems with small parameters in all planeVeli B. Shakhmurov 559

Separable convolution equations occurring in atmospheric dispersion of pollutantsAida Sahmurova and Veli B. Shakhmurov 562

Positive solutions for second-order multi-point discrete boundary value problems

Johnny Henderson and Rodica Luca 565

Weighted Markov inequality on several intervals

Mehmet Ali Aktiirk and Alexey Lukashov 568

Reidemeister torsion of Hitchin representations of PSp2n(E)

Yasar Sozen 570

Stable difference schemes for the fractional Schrddinger differential equation

Betul Hicdurmaz 574

The positivity of differential operator with nonlocal boundary conditions

Nese Nalbant and Yasar Sozen 578

xv

A first order of accuracy stable difference scheme for hyperbolic-elliptic equations

Allaberen Ashyralyev, Zeynep Odemis Ozger, and Faruk Ozger

The positivity of the differential operator with periodic conditions

Allaberen Ashyralyev and Fatih Sabahattin Tetikoglu

A second order of accuracy stable implicit difference scheme for a two-phase fluid flow model

Abdullah Said Erdogan and Ali Ugur Sazaklioglu

A fourth-order of accuracy difference scheme for the Bitsadze-Samarskii type nonlocal

boundary value problem

Fatma Songul Ozesenli Tetikoglu

An approximation of stochastic telegraph equationsAllaberen Ashyralyev and Muzaffer Akat

Stable difference scheme for nonlocal boundary value hyperbolic problems involving

multi-point and integral conditions

Necmettin Aggez

On the numerical solution of a two dimensional elliptic-parabolic equation

Okan Gercek and Emel Zusi

The structure of fractional spaces generated by the difference operator on the half plane

Sema Akturk and Yasar Sozen

Preface ofthe 2012 interdisciplinary "Symposium on complex systems"

Ali Sanayei

From natural philosophy to computation, and back again

S. Barry Cooper

Rugged landscapes and timescale distributions in complex systems

D. L. Stein and C. M. Newman

Virtual stability: A general complex systems principle?

Burton Voorhees

Influence of chaotic dynamics on the performance of evolutionary algorithms - An initial study

Roman Senkerik, Donald Davendra, Ivan Zelinka, and Zuzana Oplatkova

The cause of complexity in nature: An analytical and computational approach

Klaus Mainzer

Human systems dynamics: Toward a computational model

Glenda H. Eoyang

xvi

Complexity, universality and intermediate degrees

Joost J. Joosten 638

Cryodynamics can solve the energy problem by stabilizing ITER: A predictionOtto E. Rossler, Frank Kuske, and Ali Sanayei 642

Tackling fluid tangles complexity by knot polynomials

Renzo L. Ricca 646

Mapping unstable manifolds using drifters/floats in a Southern Ocean field campaign

Emily F. Shuckburgh 650

Controlling complexityIvan Zelinka, Lenka Skanderova, Donald D. Davendra, Roman Senkerik, and Zuzana Oplatkova 654

Self-organization in the movement activity of social insects (Hymenoptera: Formicidae)

Felipe Marcel Neves, Marcio Roberto Pie, and Ricardo Luiz Viana 658

Stochastic oscillatory dynamics ofgeneralized repressilatorsNatalja Strelkowa and Mauricio Barahona 662

Hidden quantum Markov models with one qubit

Ben O'Neill, Tom M. Barlow, Dominik Safranek, and Almut Beige 667

3-dimensional (orthogonal) structural complexity of time-series data using low-order moment

analysis

Victor J. Law, Feidhlim T. O'Neill, and Denis P. Dowling 670

Emulating fire propagation by using cellular nonlinear networks

A. Buscarino, L. Fortuna, M. Frasca, and M. G. Xibilia 674

Graph algorithm for the simulation of the interaction between particlesStephane Despreaux, Roland Hildebrand, and Aude Maignan 678

Structural algorithm to reservoir reconstruction using passive seismic data (synthetic example)Tatyana A. Smaglichenko, Igor A. Volodin, Andrei A. Lukyanitsa, Alexander V. Smaglichenko,and Maria K. Sayankina 682

Engineering applications of a dynamical state feedback chaotification method

Savas Sahin and Cuneyt GUzelis 686

Chaos control in a chaotic system with only one stable equilibrium pointArturo Buscarino, Luigi Fortuna, Mattia Frasca, Lucia Valentina Gambuzza, and Thanh Vict Pham 691

xvii

Preface ofthe "Symposium on boundary value problems and integral equations with

applications"

Pavel Krutitskii

The Dirichlet problem for the diffusion equation in the exterior of non-closed Lipschitz surfaces

P. A. Krutitskii

Singular perturbation ofsimple Steklov eigenvaluesSerhii Gryshchuk and Massimo Lanza de Cristoforis

What is the complexity of weakly singular integral equations?

Arvet Pedas and Gennadi Vainikko

Smoothing transformation and cubic spline collocation for weakly singular Fredholm integral

equations with boundary singularitiesArvet Pedas and Mikk Vikerpuur

Integral representation of voltage in half-plane conductor with crack from surface by D.C.

potential difference method

Sasamoto Akira and P. A. Krutitskii

On the convergence of some numerical method for a hypersingular integral equationGleb V. Ryzhakov

The singular integral equation method in 3-D boundary value problems and its applicationsA. V. Setukha

Efficient vortex method for numerical solution of boundary value problems in aerodynamics

Andrey Aparinov

Wave wall type solution for liquid surface waves

Anton I. Popov

Preface of the "Symposium on recent advances and current research on the difference equationsand its applications"

Seifedine Kadry

Solutions behavior of the system of rational difference equations x„+i= a/x„+yn, = byjxm

Seifedine Kadry and Chibli Joumaa

A simple condition for uniqueness ofthe absolutely continuous ergodic measure and its

application to economic models

Kenji Sato and Makoto Yano

A BiCGStab2 variant of the IDR(s) method for solving linear equations

Kuniyoshi Abe and Gerard L. G. Sleijpen

xviii

Differential inclusions and optimization problem on time scales

Francisco Miranda 745

Preface ofthe "Third symposium on semigroups of linear operators and applications"Ludovic Dan Lemle 749

On the existence of evolution semigroups on L°°

Ludovic Dan Lemle and Diana Monica Stoica 751

Concepts of dichotomy for stochastic skew-evolution semiflows in Hilbert spaces

Diana Stoica and Mihail Megan 755

Mathematical model for preventive maintenance cycles. Study of case

Adina Budiul-Berghian, Teodor Vasiu, and Diana Stoica 759

Determining the cooling affected volume by adding microcoolers in the steel

Liviu Pascu, Diana Monica Stoica, and Ana Socalici 763

Analysis on the similarity between steel ladles and hot-water models regarding natural

convection phenomena

Pascu Liviu, Putan Adriana, Putan Vasile, and Lascutoni Alina 767

Preface of the "Symposium on recent developments in modeling and simulation for partial

differential equations (PDEs)"

Mohammad Siddique 771

A solution to neural field equations by a recurrent neural network method

Abir Alharbi 772

Travelling wave solution ofthe Kuramoto-Sivashinsky equation: A computational study

A. A. Aderogba, M. Chapwanya, and J. K. Djoko 777

Preface of the "Symposium on numerical optimization and applications"

Ana I. Pereira and M. Fernanda Costa 781

Comparing clustering and partitioning strategies

Carlos Afonso, Fabio Ferreira, Jose Exposto, and Ana I. Pereira 782

Cell-free layer (CFL) analysis in a glass capillary: Comparison between a manual and automatic

method

David Bento, Diana Pinho, Ana I. Pereira, and Rui Lima 786

Generalized fractional Maxwell model: Parameter estimation ofa viscoelasric material

M. Fernanda P. Costa and C. Ribeiro 790

xix

Distance measures for image segmentation evaluation

Fernando C. Monteiro and Aurelio C. Campilho 794

Optic disc detection using ant colony optimization

Marcy A. Dias and Fernando C. Monteiro 798

Image segmentation by graph partitioning

Ana Sofia Torres and Fernando C. Monteiro 802

Numerical approximation of a nonlinear delay-advance functional differential equation by a

finite element method

M. F. Teodoro 806

Solving systems of inequalities and equalities by a nonmonotone hybrid tabu search method

Gisela C. V. Ramadas and Edite M. G. P. Fernandes 810

Mathematical model for the assessment of fracture risk associated with osteoporosis

Jairson Dinis, Ana I. Pereira, and Elza M. Fonseca 814

Optimization methods for hyper-redundant robots' inverse kinematics in biomedical

applicationsMario Saenz Espinoza, Ana I. Pereira, and Jose Goncalves 818

System identification as an application of optimization

Ana S. R. Brasio, Andrey Romanenko, and Natercia C. P. Fernandes 822

An adaptive penalty method for DIRECT algorithm in engineering optimizationRita Vilaca and Ana Maria A. C. Rocha 826

Solving a signalized traffic intersection problem with an hyperbolic penalty function

Teofilo Melo, M. Teresa T. Monteiro, and Joao Matias 830

Preface of the "Symposium on multiscale methods and their application to the problems arising

in complex system's modeling"

Eugene B. Postnikov 834

Sharp-interface models for concrete carbonation

Jonathan D. Evans and Andrea Fernandez 835

Heterogeneous multiscale methods for penalty methods in multibody dynamicsMarkus A. Kettmann and Martin Arnold 839

Preface of the Symposium "Distance functions and mathematical models in Computer Science"

Salvador Romaguera 843

xx

The bicompletion of intuitionistic fuzzy quasi-metric spaces

Francisco Castro-Company and Pedro Tirado

Some classes oft-norms and fuzzy metric spaces

Francisco Castro-Company and Pedro Tirado

MOQA min-max heapify: A randomness preserving algorithm

Ang Gao, Aoife Hennessy, and Michel Schellekens

Partial quasi-metric completeness and Caristi's type mappingsJosefa Marin

Submetrizable Yoneda complete structures for a metric dcpoJosefa Marin and Salvador Romaguera

A note on the HausdorffiEflf-fuzzy metric

Sergio Macario and Manuel Sanchis

A quantitative model for the upper and lower Hausdorff distances of a metric space

Salvador Romaguera

Preface of the "Symposium on advanced computation and information in natural and appliedsciences"

Claus-Peter Ruckemann

Supercomputing resources empowering superstack with interactive and integrated systems

Claus-Peter Ruckemann

Preface ofthe first symposium on computer science and applied mathematics (CSAM 2012)

Chenglian Liu and Shuliang Sun

Reducing the optimisation effort in batch mosaicing

Armagan Elibol, Nuno Gracia, and Rafael Garcia

On the extensive unification of digital-to-analog converters and kernels

Yanchu Liao

On the study of voice-over-IP

Jinci Li

A study of decisive factors in cross-national acquisitions - An example of BenQ and Foxconn

cooperationKai-Jan Tu

Preface of the "Symposium on allelopathic phytoplankton model with stochastic perturbation"

Syed Abbas

xxi

Existence and uniqueness of solution of Caputo fractional differential equationsLakshman Mahto and Syed Abbas 896

Existence of almost periodic solution of a model ofpbytoplankton allelopathy with delay

Syed Abbas and Lakshman Mahto 900

Stability analysis of two prey one predator model

Jai Prakash Tripathi, Syed Abbas, and Manoj Thakur 905

Preface of the "Symposium on applications and theory for uncertainty quantification and

optimization in large-scale problems"

Kody J. H. Law and Marco Iglesias-Hernandez 910

Markovian approximation of classical open systems

M. Ottobre 912

The 3DVAR filter for the Navier-Stokes equation: Accuracy and stability in the limit of

high-frequency observations

D. Blomker, K. J. H. Law, A. M. Stuart, and K. C. Zygalakis 916

MCMC for the evaluation of Gaussian approximations to Bayesian inverse problems in

groundwater flow

M. A. Iglesias, K. J. H. Law, and A. M. Stuart 920

Preface of the "Symposium on sequence spaces, summability and applications"

Ekrem Savas 924

Some alternative methods of convergence acceleration

Ants Aasma 925

Lacunary statistical convergence in a paranormed space

Selma Altundag and Metin Basanr 929

Absolute Tauberian constants for H-J Hausdorff matrices

F. Aydin Akgun and B. E. Rhoades 932

On .^(/^asymptotically statistical equivalent sequences

Hafize Gumus and Ekrem Savas 936

The f-pell hyperbolic functions

A. Giincan and S. Akduman 942

The ^-Fibonacci hyperbolic functions

A. Giincan and Y. Erbil 946

xxii

On generalized statistical limit points in random 2-normed spaces

M. Giirdal, M. B. Huban, and U. Yamanci 950

Generators of certain function Banach algebras and related questionsM. Giirdal, U. Yamanci, and S. Saltan 954

Some topological and geometric properties of sequence spaces involving lacunary sequence in n-

normed spaces

Stikran Konca and Mahpeyker Oztiirk 957

On some Euler weighted difference sequence space of non-absolute type

Mahpeyker Oztiirk and Metin Basanr 968

A new filled function for nonsmooth global optimization

Ahmet Sahiner, Hawa Gokkaya, and Tuba Yigit 972

2-Cone Banach spaces and fixed point theorem

Ahmet Sahiner and Tuba Yigit 975

X - Statistical convergence in intuitionistic fuzzy 2-normed space

Ekrem Savas 979

Rough statistically convergent double sequences

Salih Aytar 983

Preface of the "Symposium on shape preserving splines and applications"Mridula Dube 986

A monotonicity preserving local interpolation method

Xuli Han 987

Splines of complex order: An introduction

Peter Massopust 991

Convexity preserving C2 rational quadratic trigonometric splineMridula Dube and Preeti Tiwari 995

Introduction to symposium #50,2012 seminar course on hadronic mechanics

Christian Corda 999

On the Geno-GPITT framework

Anil A. Bhalekar 1002

Theoretical studies on Santilli's intermediate nuclear fusions without radiations

WeiCai 1006

xxiii

On iso-relativistic theories and general connections

Diego Julio Cirilo-Lombardo 1010

Introduction to Santilli iso-numbers

Christian Corda 1013

Mdssbauer experiments in rotating systems and iso red/blue shift

A. L. Kholmetskii, T. Yarman, and O. V. Missevitch 1016

Electrically bound quantum particles and pure bound field theory: Precise physics of simple

atoms and new bound state of the proton and electron

A. L. Kholmetskii and T. Yarman 1020

Superconducting self propulsion requires beyond the standard model

A.A.Nassikas 1024

The mystery of detecting antimatter asteroids, stars and galaxies

Ruggero Maria Santilli 1028

Hadronic chemistry applied to hydrogen and water molecules

Vijay M. Tangde 1033

Mathemimetics III: Digital outline of elementary particles with substantiation of mutual

electron/nucleon lattice

ErikTrell 1037

Preface of the "Symposium on approximation, scientific computation and applicationsASCA-2012"

Gradimir V. Milovanovic 1041

Error bounds for some quadrature rules with maximal trigonometric degree of exactness

Marija P. Stanic, Aleksandar S. Cvetkovic, and Tatjana V. Tomovic 1042

Numerical integration of analytic functions

Gradimir V. Milovanovic, Dobrilo D To§ic, and Miloljub Albijanic 1046

Some properties of Boubaker polynomials and applications

Gradimir V. Milovanovic and Dusan Joksimovic 1050

A unified version of efficient partition of unity algorithms for meshless interpolation

Roberto Cavoretto 1054

Quadrature formulae for problems in mechanics

Gradimir V. Milovanovic, Tomislav Igic, and Novica Toncev 1058

xxiv

Preface ofthe "Symposium on mathematical optimization in modern medicine"

Serban Rosu and Flavius Pater

Statistic-mathematical interpretation of some assessment parameters of the grassland ecosystem

according to soil characteristics

Ionel Samfira, Marius Boldea, and Cosmin Popescu

Bifactorial model for the assessment of agricultural yield and economic efficiency of fertilization

Marius Boldea and Florin Sala

A multiplier algebra representation with application to harmonic signal models

Flavius Pater

Hopf bifurcations analysis for a mathematical model of a biomedical process

A. Pogorevici, A. Juratoni, and O. Bundau

Mathematical modeling and analysis of a cardiovascular system

A. Pogorevici, A. Juratoni, and O. Bundau

Meshing influence on numerical analysis of ulna bone

Mirela Toth-Tascau, Lucian Rusu, Flavia Balanean, Flavius Pater, and Cristian Toader-Pasti

Optimization of acetabular component orientation using DOE

Mircea Krepelka and Mirela Toth-Tascau

Influence of the surface area approximation on plantar arch index calculus

Mirela Toth-Tascau, Dan loan Stoia, Cosmina Vigaru, and Oana Pasca

Preface of the "Minisymposium on high accuracy solution of ordinary and partial differential

equations"

Murli M. Gupta

Fourth-order convergence of a compact scheme for the one-dimensional biharmonic equation

D. Fishelov, M. Ben-Artzi, and J.-P. Croisille

Oscillatory flow past an inclined square cylinder at low Reynolds numbers

Jiten C. Kalita and Murli M. Gupta

Preface of the "2nd symposium on distribution theory, estimation and inference"

Carlos A. Coelho

Modeling extreme events: Sample fraction adaptive choice in parameter estimation

Manuela Neves, Ivette Gomes, Fernanda Figueiredo, and Dora Prata Gomes

A reduced bias estimator of a 'scale' second order parameter

Frederico Caeiro and M. Ivette Gomes

xxv

Generalized least squares method in nonlinear equations

Ayana Mateus and Margarida Tome 1118

Exploring Pareto scale mixtures

Miguel Felgueiras and Rui Santos 1121

Pseudo-convex mixtures

Miguel Felgueiras, Joao Martins, and Rui Santos 1125

The multi-sample independence test

Filipe J. Marques and Carlos A. Coelho 1129

Instances of the product of independent beta random variables and of the Meijer G and Fox H

functions with finite representations

Carlos A. Coelho and Barry C. Arnold 1133

Preface of the "Symposium on operational research and applications"Fernanda A. Ferreira and Flavio Ferreira 1138

An axiomatic characterization of the strong constrained egalitarian solution

Francesc Llerena and Cori Vilella 1139

Large-scale expensive black-box function optimization

Kashif Rashid, William Bailey, and Benoit Couet 1143

A manpower scheduling heuristic for aircraft maintenance application

San-Nah Sze, Jeeu-Fong Sze, and Kang-Leng Chiew 1147

Multi-trip vehicle routing and scheduling problem with time window in real life

San-Nah Sze, Kang-Leng Chiew, and Jeeu-Fong Sze 1151

International Stackelberg model with tariffs

Fernanda A. Ferreira 1155

Desirable role in an international duopoly model with tariffs

Fernanda A. Ferreira and Flavio Ferreira 1159

Symposium "Numerical methods and computational procedures for special problems in physicsand chemistry" dedicated to Prof. Liviu Ixaru to celebrate his 70th birthday

Beatrice Paternoster 1163

P-stable boundary value methods for second order IVPs

Lidia Aceto, Paolo Ghelardoni, and Cecilia Magherini 1165

xxvi

Exponential fitting quadrature rule for functional equationsA. Cardone, B. Paternoster, and G. Santomauro 1169

An exponentially fitted quadrature rule over unbounded intervals

D. Conte, B. Paternoster, and G. Santomauro 1173

Implicit - symplectic partitioned (IMSP) Runge-Kutta schemes for predator-prey dynamicsF. Diele, C. Marangi, and S. Ragni 1177

Exponential Runge-Kutta integrators for modelling Predator-Prey interactions

F. Diele, C. Marangi, and S. Ragni 1181

Diagonally implicit exponentially fitted Runge-Kutta methods with equation dependentcoefficients

R. D'Ambrosio and B. Paternoster 1185

CP and EF methods for the Schrodinger equation. A comparisonL. Gr. Ixaru 1189

On the use ofCP methods for the numerical solution ofthe Schrodinger equationVeerle Ledoux 1193

An inverse problem of mass resonator: Detection of mass and position of an adsorbed particleYun Liu and Yin Zhang 1197

Nondirect product discrete variable representation in multidimensional quantum problemsVladimir S. Melezhik 1200

Energy preservation in separable Hamiltonian systems by splitting schemes

B. Pace, F. Diele, and C. Marangi 1204

Ixaru's extended frequency dependent quadrature rules for slater integrals: Parallel

computation issues

N. S. Scott, M. P. Scott, and F. Jezequel 1208

Exponentially-fitted methods and their stability functions

M. Van Daele and D. Hollevoet 1212

The use of Ixaru's method in locating the poles of the S-matrix in strictly finite-range potentialsTamas Vertse, R. G. Lovas, A. Ricz, and P. Salamon 1216

Preface of the "Session on Hamilton-Jacobi equations arising from optimal control problems

and differential games: Analysis, numerical methods and applications"Nikolai Botkin and Varvara Turova 1220

xxvii

Game-theoretic analysis of a visibility based pursuit-evasion game in the presence of a circular

obstacle

S. Bhattacharya, T. Basar, and N. Hovakimyan 1222

Application of dynamic programming approach to aircraft take-off in a windshear

N. D. Botkin and V. L. Turova 1226

The Cauchy problem for BBGKY hierarchy of quantum kinetic equations with Coulomb

potential

M. Brokate and M. Yu. Rasulova 1230

Existence of equilibrium point for noncooperative differential game in banach space

Marianna Troeva 1234

Preface of the "Modeling of multiphase flows in porous and fissured media"

Nikolai Botkin and Varvara Turova 1238

A meshless multi-point flux approximation method

Alexander A. Lukyanov 1239

Simulation of hysteretic effects in multi-phase flows in aquifersN. D. Botkin, M. Brokate, K.-H. Hoffmann, O. A. Pykhteev, and V. L. Turova 1243

Ensemble Kalman filter regularization using leave-one-out data cross-validation

Lautaro Rayo and Ibrahim Hoteit 1247

A combined ADER-DG and PML approach for simulating wave propagation in unbounded

domains

Thomas G. Amler, Ibrahim Hoteit, and Tariq A. Alkhalifah 1251

Statistical mechanics approach describing gravity driven migration phenomena in

non-percolating porous media

Mathias Trojer and Eduard R. Oberaigner 1255

xxviii