Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress

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James M. Hill, Ross Moore
SIAM, Apr 1, 2004 - Mathematics - 413 pages
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Included in this volume are the Invited Talks given at the 5th International Congress of Industrial and Applied Mathematics. The authors of these papers are all acknowledged masters of their fields, having been chosen through a rigorous selection process by a distinguished International Program Committee. This volume presents an overview of contemporary applications of mathematics, with the coverage ranging from the rhythms of the nervous system, to optimal transportation, elasto-plasticity, computational drug design, hydrodynamic and meteorological modeling, and valuation in financial markets. Many papers are direct products of the computer revolution: grid generation, multi-scale modeling, high-dimensional numerical integration, nonlinear optimization, accurate floating-point computations and advanced iterative methods. Other papers demonstrate the close dependence on developments in mathematics itself, and the increasing importance of statistics. Additional topics relate to the study of properties of fluids and fluid-flows, or add to our understanding of Partial Differential Equations.
 

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Contents

O Anderson
2
Preface
3
List of Contributors
9
Grid Generation and Flow Solvers
25
Optimal Transportation Theory and Geometric Partial
37
Valuation Hedging and Investment in Incomplete Financial
49
Accurate and Efficient Algorithms for Floating Point
73
Department of Mathematics Mathematics School of Mathematical
91
How Mature is Nonlinear Optimization?
141
Computer Science James M Hill
161
O Anderson Nick Gould
162
Aging in Particle Systems by Alice Guionnet
163
Marsha Berger UMPA Ecole Normale Supérieure
176
Multiscale Modelling and Computation of Incompressible Flow
177
breniermath unice
211
Christof Sparber Australia
290

Molecular Conformation Dynamics and Computational Drug
107
Singular DiffusivityFacets Shocks and more
121

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