Click Here to Download: https://ouo.io/SkT68i Reliable Methods for Computer Simulation By: Pekka Neittaanmäki Publisher: Elsevier Science Print ISBN: 9780444513762, 0444513760 eText ISBN: 9780080540504 Pages: 316 Copyright year: 2004 Format: EPUB Available from $ 165.00 USD SKU 9780080540504 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 Additional ISBNs 9780080540504, 0080540503
