Foundation of Computational Mathematics

Ronald A. DeVore, Arieh Iserles, Endre Süli

408 pages, parution le 01/09/2001

Ajouter à une liste

Indisponible

Résumé

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 prescripts 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.

Contents

Preface
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

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Ronald A. DeVore, Arieh Iserles, Endre Süli
Parution	01/09/2001
Nb. de pages	408
Format	15,3 x 23
Couverture	Broché
Poids	659g
Intérieur	Noir et Blanc
EAN13	9780521003490
ISBN13	978-0-521-00349-0