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

Introduction
2
Preface
3
Hidden Markov Models
10
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
91
Multiscale Modelling and Computation of Incompressible Flow
179
Yann Brenier California Institute of Technology
211
An Applied Mathematical View of Meteorological Modelling
227
from Cells to Behavior
271
Highly Oscillatory Partial Differential Equations
289
Olavi Nevanlinna
313
ElastoPlasticity using Energy and Dissipation Functionals
315
HighDimensional Numerical Integration
337

Singular Diffusivity Facets Shocks and more
121
How Mature is Nonlinear Optimization?
141
Peter A Markowich and Department of Mathematics
142
Alexander Mielke University of Namur Belgium
156
0 Anderson Nick Gould
162
Aging in Particle Systems by Alice Guionnet
163
Marsha Berger UMPA Ecole Normale Superieure
176
Computation and Minimisation of Ship Waves
353
Institute of Mathematics Mathematical Institute Utrecht
371
Harald Niederreiter Key Laboratory of Pure and Applied
395
ICIAM Prizes for 2003
409
Ian Sloan Australia
413
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