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Foundations of Computational Mathematics : London Mathematical Society Lecture Note Series - Ronald A. DeVore

Foundations of Computational Mathematics

London Mathematical Society Lecture Note Series

By: Ronald A. DeVore (Editor), Arieh Iserles (Editor), Endre Suli (Editor), N. J. Hitchin (Editor)


Published: 31st July 2001
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The Society for the Foundations of Computational Mathematics supports fundamental research in a wide spectrum of computational mathematics and its application areas. As part of its endeavour to promote research in computational mathematics, the society regularly organises conferences and workshops which bring together leading researchers in the diverse fields impinging on all aspects of computation. This book presents thirteen papers written by plenary speakers from the 1999 conference, all of whom are the foremost figures in their respective fields. Topics covered include complexity theory, approximation theory, optimisation, computational geometry, stochastic systems and the computation of partial differential equations. The wide range of topics covered illustrates the diversity of contemporary computational mathematics and the intricate web of its interaction with pure mathematics and application areas. This book will be of interest to researchers and graduate students in all areas of mathematics involving numerical and symbolic computations.

'... an interesting and intriguing firework of contemporary research.' Adhemar Bultheel, Bulletin of the Belgian Mathematical Society 'Each chapter provides a readable and comprehensive introduction to and overview of its topic, and in many cases also presents new research results. Collectively the chapters provide a very clear indication of the enormous breadth of computational mathematics, its close interaction with other developments within mathematics, and its impact in both mathematics and applications.' ZAMM (Zeitschrift fur Angewandte Mathematik und Mechanik)

Singularities and computation of minimizers for variational problems
Adaptive finite element methods for flow problems
Newton's method and some complexity aspects of the zero-finding problem
Kronecker's smart little black boxes
Numerical analysis in Lie groups
Feasibility control in nonlinear optimization
Six lectures on the geometric integration of ODEs
When are integration and discrepancy tractable?
Moving frames - in geometry, algebra, computer vision, and numerical analysis
Harmonic map flows and image processing
Statistics from computations
Simulation of stochastic processes and applications
Real-time numerical solution to Duncan-Mortensen-Zakai equation
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521003490
ISBN-10: 0521003490
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 412
Published: 31st July 2001
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.4
Weight (kg): 0.58