Reliable Methods for Computer Simulation: Error Control and Posteriori Estimatesvolume 33

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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: generate a sequence of approximations that converges to a solution and 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 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

Language: English

Pages: 316

Format: Hardcover

Publisher: Elsevier Science

Release: December 01, 2004

ISBN: 0444513760

ISBN 13: 9780444513762

Reliable Methods for Computer Simulation: Error Control and Posteriori Estimatesvolume 33

Pekka Neittaanmäki

2/5 ( ratings)

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Language: English

Pages: 316

Format: Hardcover

Publisher: Elsevier Science

Release: December 01, 2004

ISBN: 0444513760

ISBN 13: 9780444513762

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Reliable Methods for Computer Simulation: Error Control and Posteriori Estimatesvolume 33

Reliable Methods for Computer Simulation: Error Control and Posteriori Estimatesvolume 33

Reliable Methods for Computer Simulation: Error Control and Posteriori Estimatesvolume 33

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