Foundations of Computational Mathematics,9780521003490

Foundations of Computational Mathematics

by
ISBN13: 9780521003490
ISBN10: 0521003490
Format: Paperback
Pub. Date: 2001-05-21
Publisher(s): Cambridge University Press
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Summary

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 organizes 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, optimization, computational geometry, stochastic systems and the computation of partial differential equations.

Table of Contents

Preface vii
Singularities and computation of minimizers for variational problems
1(20)
J. M. Ball
Adaptive finite element methods for flow problems
21(24)
R. Becker
M. Braack
R. Rannacher
Newton's method and some complexity aspects of the zero-finding problem
45(24)
J.-P. Dedieu
Kronecker's smart, little black boxes
69(36)
M. Giusti
J. Heintz
Numerical analysis in Lie groups
105(20)
A. Iserles
Feasibility control in nonlinear optimization
125(30)
M. Marazzi
J. Nocedal
Six lectures on the geometric integration of ODEs
155(56)
R. I. McLachlan
G. R. Quispel
When are integration and discrepancy tractable?
211(56)
E. Novak
H. Wozniakowski
Moving frames --- in geometry, algebra, computer vision, and numerical analysis
267(32)
P. J. Olver
Harmonic map flows and image processing
299(24)
G. Sapiro
Statistics from computations
323(22)
H. Sigurgeirsson
A. M. Stuart
Simulation of stochastic processes and applications
345(16)
D. Talay
Real-time numerical solution to Duncan-Mortensen-Zakai equation
361
S.-T. Yau
S. S.-T. Yau

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