{"product_id":"9780080540504","title":"Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates","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.","brand":"Elsevier Science","offers":[{"title":"Default Title","offer_id":47105941700848,"sku":"9780080540504","price":165.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780080540504_p0.jpg?v=1763637822","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780080540504","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}