Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress (Proceedings in Applied Mathematics S. No. 116)
By: Ross Moore (editor), James M. Hill (editor)Hardback
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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.
Preface; 1. Pulling the information out of the clutter Brian D. O. Anderson; 2. Putting together the pieces: grid generation and flow solvers for complex geometries Marsha Berger; 3. Optimal transportation theory and geometric partial differential equations Yann Brenier; 4. Valuation, hedging and investment in incomplete financial markets Mark Davis; 5. Accurate and efficient algorithms for floating point computation James Demmel and Plamen Koev; 6. Molecular conformation dynamics and computational drug design Peter Deuflhard and Christof Schutte; 7. Singular diffusivity-facets, shocks and more Yoshikazu Giga; 8. How mature is nonlinear optimization? Nick Gould and Philippe L. Toint; 9. Aging in particle systems Alice Guionnet; 10. Multiscale modelling and computation of incompressible flow Thomas Y. Hou; 11. Random matrices and the Riemann zeta-function: a review Jonathan P. Keating; 12. An applied mathematical view of meteorological modelling Rupert Klein; 13. Rhythms in the nervous system: from cells to behavior via dynamics Nancy Kopell; 14. Highly oscillatory partial differential equations Peter A. Markowich and Christof Sparber; 15. Elasto-plasticity using energy and dissipation functionals Alexander Mielke; 16. High-dimensional numerical integration Harald Niederreiter; 17. Computation and minimisation of ship waves Ernest O. Tuck; 18. Iterative solution methods: aims, tools, craftmanship Henk A. van der Vorst; 19. Interface problems and their applications Lung-an Ying; 20. ICIAM prizes for 2003.
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