# Repin Sergey R. (EN) — Reliable Methods for Computer Simulation

Тут можно читать онлайн книгу Repin Sergey R. (EN) - Reliable Methods for Computer Simulation - бесплатно полную версию (целиком). Жанр книги: Иностранная литература. Вы можете прочесть полную версию (весь текст) онлайн без регистрации и смс на сайте Lib-King.Ru (Либ-Кинг) или прочитать краткое содержание, аннотацию (предисловие), описание и ознакомиться с отзывами (комментариями) о произведении.

Автор: Repin Sergey R. (EN)
Язык книги: Английский
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## Reliable Methods for Computer Simulation краткое содержание

Reliable Methods for Computer Simulation - описание и краткое содержание, автор Repin Sergey R. (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

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

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