{"product_id":"reliable-methods-for-computer-simulation-error-control-and-posteriori-estimates-volume-33-9780444513762","title":"Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates Volume 33","description":"\u003cp\u003e • Author(s): Pekka Neittaanmäki | Sergey R. Repin\u003cbr\u003e • Publisher: Elsevier Science\u003cbr\u003e • Publisher Imprint: Elsevier Science\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003eRecent 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.\u003c\/p\u003e","brand":"Elsevier Science","offers":[{"title":"Hardcover","offer_id":46895893545111,"sku":"9780444513762","price":10886.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780444513762.webp?v=1770356055","url":"https:\/\/atlanticbooks.com\/products\/reliable-methods-for-computer-simulation-error-control-and-posteriori-estimates-volume-33-9780444513762","provider":"Atlantic Books","version":"1.0","type":"link"}