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OverviewRecent 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. Full Product DetailsAuthor: Pekka Neittaanmäki (Professor, University of Jyväskylä, Jyväskylä, Finland) , Sergey R. Repin (V.A. Steklov Institute of Mathematics, St. Petersburg, Russian Federation)Publisher: Elsevier Science & Technology Imprint: Elsevier Science Ltd Volume: v. 33 Dimensions: Width: 14.90cm , Height: 1.90cm , Length: 22.50cm Weight: 0.610kg ISBN: 9780444513762ISBN 10: 0444513760 Pages: 316 Publication Date: 04 September 2004 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Out of Print Availability: In Print  Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock. Table of ContentsContents 1. Introduction. 2. Mathematical background. 3. A posteriori estimates for iteration methods. 4. A posteriori estimates for finite element approximations. 5. Foundations of duality theory. 6. Two-sided a posteriori estimates for linear elliptic problems. 7. A posteriori estimates for nonlinear variational problems. 8. A posteriori estimates for variational inequalities. Bibliography. Notation. Index.ReviewsAuthor InformationPekka Neittaanmäki is Professor at University of Jyväskylä and the UNESCO Chair on Digital Platforms for Emerging Economies. He is the author of 50 books and 300 articles. He is on the Board of 10 journals and academic associations and has received 10 honorable awards. His research is on digital platform economics and information technology industrial applications. Tab Content 6Author Website:Countries AvailableAll regions |
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