{ "item_title" : "Reliable Methods for Computer Simulation", "item_author" : [" Pekka Neittaanmäki", "Sergey R. Repin "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/0/44/451/376/0444513760_b.jpg", "price_data" : { "retail_price" : "125.00", "online_price" : "125.00", "our_price" : "125.00", "club_price" : "125.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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