Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates Volume 33 (Hardcover) (ISBN-13: 9780444513762)

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.

Author: Pekka Neittaanmäki,Sergey R. Repin
ISBN-10: 0444513760
ISBN-13: 9780444513762
Publisher: Elsevier Science
Language: English
Published: 12/01/2004
Pages: 316
Format: Hardcover
Weight: 1.34lbs
Size: 9.08h x 6.08w x 0.76d