Foundations of Computational Mathematics, Hong Kong 2008 by Felipe Cucker (Engli

Publisher Description

This volume is a collection of articles based on the plenary talks presented at the 2008 meeting in Hong Kong of the Society for the Foundations of Computational Mathematics. The talks were given by some of the foremost world authorities in computational mathematics. The topics covered reflect the breadth of research within the area as well as the richness and fertility of interactions between seemingly unrelated branches of pure and applied mathematics. As a result this volume will be of interest to researchers in the field of computational mathematics and also to non-experts who wish to gain some insight into the state of the art in this active and significant field.

Author Biography

Felipe Cucker is a Chair Professor of Mathematics at City University of Hong Kong. He is presently the Chairman of the Society for the Foundations of Computational Mathematics. Allan Pinkus holds the Margaret Mosenfelder Harris Chair in Mathematics at the Department of Mathematics at the Technion - Israel Institute of Technology. Michael J. Todd is the Leon C. Welch Professor of Engineering at Cornell University. He is a Fellow of INFORMS, and has received the George B. Dantzig Prize from MPS and SIAM, and the John von Neumann Theory Prize from INFORMS.

Table of Contents

Preface; Contributors; 1. Smoothed analysis of condition numbers Peter Burgisser; 2. A world of binomials Alicia Dickenstein; 3. Linear and nonlinear subdivision schemes in geometric modeling Nira Dyn; 4. Energy preserving and energy stable schemes for the shallow water equations Ulrik Fjordholm, Siddhartha Mishra and Eitan Tadmor; 5. Pathwise convergence of numerical schemes for random and stochastic differential equations A. Jentzen, P. E. Kloeden and A. Neuenkirch; 6. Some properties of the global behaviour of conservative low-dimensional systems Carles Simo; 7. A panoramic view of asymptotics R. Wong; 8. Tractability of multivariate problems H. Wozniakowski.

Promotional "Headline"

Surveys and summaries of the latest research in numerical analysis, optimization, computer algebra and scientific computing.

Description for Bookstore

Leading figures in modern computational mathematics present here the latest research and give surveys of its contemporary topics. This is a valuable resource for all working in numerical analysis, optimization, computer algebra and scientific computing.

Description for Library

Leading figures in modern computational mathematics present here the latest research and give surveys of its contemporary topics. This is a valuable resource for all working in numerical analysis, optimization, computer algebra and scientific computing.

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