## Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 CongressIncluded 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 |

### Other editions - View all

Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM ... James M. Hill,Ross Moore No preview available - 2004 |

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