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Science/Engineering Reliable Methods for Computer Simulation, Volume 33: Error Control and Posteriori Estimates

Posted on 2010-03-16




Name:Science/Engineering Reliable Methods for Computer Simulation, Volume 33: Error Control and Posteriori Estimates
ASIN/ISBN:0444513760
Language:English
File size:9.89 Mb
ISBN: 0444513760
Publish Date: 2004
File Type: PDF
Pages: 316 pages
File Size: 9.89 MB
Other Info: Elsevier Limited
   Science/Engineering Reliable Methods for Computer Simulation, Volume 33: Error Control and Posteriori Estimates



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Pekka NeittaanmÃki (Author), Sergey R. Repin, «Reliable Methods for Computer Simulation, Volume 33: Error Control and Posteriori Estimates»

& 8220; Presentation of the main approaches developed for a posteriori error estimation in various problems. 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. & 8221;

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