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Reliable Methods for Computer Simulation

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Neittaanmaki, P./ Repin, S. 作者
Elsevier Science Ltd
譯者
2004-12 出版日期
316 頁數
$ 141.25 價格
HRD
Studies in Mathematics and its Applications 叢書系列
9780444513762 圖書編碼

Reliable Methods for Computer Simulation 在線電子書 圖書標籤: 數學-數值分析  數學  Graphics   


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Reliable Methods for Computer Simulation 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Reliable Methods for Computer Simulation 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Reliable Methods for Computer Simulation 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Reliable Methods for Computer Simulation 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Reliable Methods for Computer Simulation 在線電子書 圖書描述

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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