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El. knyga: Foundations of Computational Mathematics, Hong Kong 2008

Edited by (Cornell University, New York), Edited by (Technion - Israel Institute of Technology, Haifa), Edited by (City University of Hong Kong)
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Foundations of Computational Mathematics, Hong Kong 2008Didesnis paveikslėlis
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Surveys and summaries of the latest research in numerical analysis, optimization, computer algebra and scientific computing.

This volume is a collection of articles based on the plenary talks presented at the 2008 Society for the Foundations of Computational Mathematics meeting in Hong Kong. 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.

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Surveys and summaries of the latest research in numerical analysis, optimization, computer algebra and scientific computing.
Preface vii
Contributors ix
Smoothed Analysis of Condition Numbers
1(41)
Peter Burgisser
A World of Binomials
42(26)
Alicia Dickenstein
Linear and Nonlinear Subdivision Schemes in Geometric Modeling
68(25)
Nira Dyn
Energy Preserving and Energy Stable Schemes for the Shallow Water Equations
93(47)
Ulrik Fjordholm
Siddhartha Mishra
Eitan Tadmor
Pathwise Convergence of Numerical Schemes for Random and Stochastic Differential Equations
140(22)
A. Jentzen
P. E. Kloeden
A. Neuenkirch
Some Properties of the Global Behaviour of Conservative Low-Dimensional Systems
162(28)
Carles Simo
A Panoramic View of Asymptotics
190(46)
R. Wong
Tractability of Multivariate Problems
236
H. Wozniakowski
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.
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