Foundations of Computational Mathematics
1st Edition
Published on 11. July 2013
978-1-107-10736-6 (ISBN)
Description
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.
Reviews / Votes
'... 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 fuer Angewandte Mathematik und Mechanik)More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
4 Tables, unspecified; 10 Halftones, unspecified; 41 Line drawings, unspecified
File size
39058,22 MB
ISBN-13
978-1-107-10736-6 (9781107107366)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Ronald Devore | Arieh Iserles | Endre Sueli
Foundations of Computational Mathematics
Book
05/2001
Cambridge University Press
€75.40
Shipment within 15-20 days
Persons
Content
Preface; 1. Singularities and computation of minimizers for variational problems J. M. Ball; 2. Adaptive finite element methods for flow problems R. Becker, M. Braack and R. Rannacher; 3. Newton's method and some complexity aspects of the zero-finding problem J.-P. Dedieu; 4. Kronecker's smart little black boxes M. Giusti and J. Heintz; 5. Numerical analysis in Lie groups A. Iserles; 6. Feasibility control in nonlinear optimization M. Marazzi and J. Nocedal; 7. Six lectures on the geometric integration of ODEs R. I. MaLachlan and G. R. Quispel; 8. When are integration and discrepancy tractable? E. Novak and H. Wozniakowski; 9. Moving frames - in geometry, algebra, computer vision, and numerical analysis P. J. Olver; 10. Harmonic map flows and image processing G. Sapiro; 11. Statistics from computations H. Sigurgeirsson and A. M. Stuart; 12. Simulation of stochastic processes and applications D. Talay; 13. Real-time numerical solution to Duncan-Mortensen-Zakai equation S.-T. Yau and S. S.-T. Yau.
