Pekka Neittaanmaki & Sergey R. Repin 
Reliable Methods for Computer Simulation [PDF ebook] 
Error Control and Posteriori Estimates

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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: (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

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语言 英语 ● 格式 PDF ● ISBN 9780080540504 ● 出版者 Elsevier Science ● 发布时间 2004 ● 下载 6 时 ● 货币 EUR ● ID 2262077 ● 复制保护 Adobe DRM
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