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. · computable bounds of approximation errors· checking algorithms· iteration processes· finite element methods· elliptic type problems· nonlinear variational problems· variational inequalities

Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates (Volume 33) (Studies in Mathematics and its Applications, Volume 33)

Computers & Technology

Neittaanmäki, Pekka

Repin, Sergey R.

Computer Science

Elsevier Science

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Books by Repin, Sergey R.

See the best price to sell, buy, or rent books by Repin, Sergey R.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates (Volume 33) (Studies in Mathematics and its Applications, Volume 33)