## 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

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

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