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

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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.
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Editorial 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. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780198505143
  • Publisher: Oxford University Press, USA
  • Publication date: 12/28/2000
  • Pages: 372
  • Product dimensions: 6.10 (w) x 9.00 (h) x 1.00 (d)

Meet 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.

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Table of Contents

Opening Ceremony
On the current state of finite element methods - solids and structures with full coupling to fluid flows 1
Some nonlinear PDE's in the theory of flame propagation 13
Macroscopic models of superconductivity 23
Navier-Stokes equations and fluid turbulence 35
Regularization methods for solving inverse problems 47
Propagation of cracks in elastic media 63
On the numerical solution of partial differential equations in unbounded domains 69
Future research avenues in computational engineering and design 79
Adaptive computational methods for differential equations 96
Mathematical modelling of the Internet 105
Computational analysis of turbulence - description by low-pressure vortices 117
Theoretical aspects of Nedelec's edge elements applied to electromagnetic problems 129
Whizzkids: two exercises in computational discrete optimization 141
Vortex structures in turbulent flow 153
Sampling of multi-band signals 163
Magnetic microstructures - a paradigm of multiscale problems 175
Domain decomposition for Navier-Stokes equations 191
What is quantum computation? 205
Advancing Interfaces: Level Set and Fast Marching Methods 222
Quasi-Monte Carlo methods for financial applications 234
Exotic applications of liquid crystals 246
What, if anything, is new in optimization? 259
A review of trust region algorithms for optimization 271
Minisymposia 283
List of Participants 322
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