Reliable Methods for Computer Simulation 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Neittaanmaki, P./ Repin, S. 作者

Elsevier Science Ltd

译者

2004-12 出版日期

316 页数

$ 141.25 价格

HRD

Studies in Mathematics and its Applications 丛书系列

9780444513762 图书编码

Reliable Methods for Computer Simulation 在线电子书图书标签: 数学-数值分析数学 Graphics

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Reliable Methods for Computer Simulation 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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 of reliable computations. In general, a reliable numerical method must solve two basic problems: generate a sequence of approximations that converges to a solution and 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 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. It includes computable bounds of approximation, errors checking algorithms, iteration processes, finite element methods, elliptic type problems, nonlinear variational problems, and variational inequalities.

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