Table of Contents

Preface
Acknowledgements
Organisation
Foreword
Opening Ceremony
Prizes
On the current state of finite element methods --- solids and structures with full coupling to fluid flows
Some Nonlinear PDE's in the Theory of Flame propagation
Macroscopic models of superconductivity
Navier-Stokes Equations and Fluid Turbulence
Regularization Methods for Solving Inverse Problems
Propagation of Cracks in Elastic Media
On the Numerical Solution of Partial Differential Equations in Unbounded Domains
Future Research Avenues in Computational Engineering and Design
Adaptive computational methods for differential equations
Mathematical modelling of the Internet
Computational Analysis of Turbulence --- Description by Low-Pressure Vortices
Theoretical aspects of Nedelec's edge elements applied to electromagnetic problems
Whizzkids: two exercises in computational discrete optimization
Vortex Structures in Turbulent Flow
Sampling of multi-band signals
Magnetic microstructures --- a paradigm of multiscale problems
Domain Decomposition for Navier-Stokes Equations
What is quantum computation
Advancing Interfaces: Level Set and Fast Marching Methods
Quasi-Monte Carlo Methods for Financial Applications
Exotic applications of liquid crystals
What, if anything, is new in optimization?
A review of trust region algorithms for optimization
Minisymposia
List of Participants

About the Author

John Ball is delegate for mathematics and ex-president of the London Mathematical Society. Julian Hunt is ex-president of the Institute of Mathematics and its applications.

Reviews

"Contains written versions of the 23 plenary lectures delivered at the July 1999 congress. The authors discuss new mathematical problems, methods for analyzing and computing their solutions, and types of applications. Some of the topics are mathematical modeling of the Internet, quasi-Monte Carlo methods for financial applications, quantum computation, theoretical aspects of Nedelec's edge elements applied to electromagnetic problems, and domain decomposition for Navier-Stokes equations. Other topics include some nonlinear PDE's in the theory of flame propagation, macroscopic models of superconductivity, regularization methods for solving inverse problems, and propagation of cracks in elastic media."--SciTech Book News