ICIAM 99 Proceedings of the Fourth International Congress on Industrial & Applied Mathematics, Edinburgh

The Proceedings of the Fourth International Congress on Industrial and Applied Mathematics, Edinburgh, includes talks from the 30 plenary speakers who between them covered the gamut of applied mathematics in topics such as superconductivity (S.J. Chapman, Oxford); elastic media (A. Friedman, Minnesota); mathematical modelling of the Internet (F. Kelly, Cambridge); Monte Carlo methods for financial applications (S. Tezuka, IBM Tokyo); liquid turbulence, partial differential equations, discrete optimisation, and computational aspects of all these topics. Speakers J.A. Sethia (Berkeley), J.K. Lenstra (CWI, Amsterdam), R.V. Kohn (Courant Institute, New York), S. Muller (Leipzig, Germany), C. Johnson (Goteborg, Sweden). Also included are summaries of the mini symposia, and details of the prizes. This important summary of topical and applicable mathematics from the world's leaders in the subject is a 'must-have' reference volume for graduate students and researchers interested in applied and computational mathematics.

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

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.