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Reliable Methods for Computer Simulation

其他書名	Error Control and Posteriori Estimates
出版	Elsevier Science, 2004-08-30
主題	Mathematics / Numerical AnalysisComputers / Computer EngineeringComputers / Design, Graphics & Media / Graphics Tools
ISBN	04445500629780444550064
URL	http://books.google.com.hk/books?id=Vz2t0AEACAAJ&hl=&source=gbs_api

註釋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.