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

Front Cover
James M. Hill, Ross Moore
SIAM, Apr 1, 2004 - Mathematics - 413 pages
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

Introduction
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
Molecular Conformation Dynamics and Computational Drug
107
An Applied Mathematical View of Meteorological Modelling
237
from Cells to Behavior
271
Peter A Markowich
289
Highly Oscillatory Partial Differential Equations
297
Alexander Mielke
314
ElastoPlasticity using Energy and Dissipation Functionals
315
HighDimensional Numerical Integration
337
Computation and Minimisation of Ship Waves
353

Singular Diffusivity Facets Shocks and more
121
How Mature is Nonlinear Optimization?
141
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
Mark Davis School of Mathematics
211
mielkemathematik unistuttgart Adelaide University South Australia
355
Olavi Nevanlinna
371
olavi nevanlinnahut
395
ICIAM Prizes for 2003
409
Ian Sloan
413
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