Reliable Methods for Computer Simulation, Volume 33 - Error Control and Posteriori Estimates (Hardcover, New)

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.
In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems.
The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time.
- computable bounds of approximation errors
- checking algorithms
- iteration processes
- finite element methods
- elliptic type problems
- nonlinear variational problems
- variational inequalities

General

Imprint:	Elsevier Science Ltd
Country of origin:	United Kingdom
Series:	Studies in Mathematics & Its Applications
Release date:	September 2004
First published:	December 2004
Authors:	Pekka Neittaanmaki • Sergey R Repin
Dimensions:	225 x 149 x 19mm (L x W x T)
Format:	Hardcover
Pages:	316
Edition:	New
ISBN-13:	978-0-444-51376-2
Categories:	Books > Computing & IT > Applications of computing > Computer modelling & simulation Books > Computing & IT > Computer software packages > Computer graphics software > General Books > Academic & Education > Professional & Technical > Mathematics
LSN:	0-444-51376-0
Barcode:	9780444513762

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