Error analysis in numerical processes
著者
書誌事項
Error analysis in numerical processes
（Pure and applied mathematics）
Wiley, 1991
- タイトル別名
-
Fehler in numerischen Prozessen
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注記
Rev. translation of: Fehler in numerischen Prozessen
Includes bibliographical references and index
内容説明・目次
内容説明
The problem of errors in computations has attracted the attention of mathematicians for some time. With the wide application of computers its meaning has taken on a new dimension. To the classical problem of errors in numerical analysis is added the new problem of errors in computer arithmetics. There is now an error classification, according to which, each problem in numerical analysis is connected with three types of error. This classification has stimulated the development of numerical analysis. The author questions the completeness of this classification and suggests improvements. He applies these to linear and non-linear problems in numerical analysis, and also to systems of linear equations. His results form the main contents of the monograph.
目次
- Part 1 Computer arithmetic errors and errors in numerical processes. Part 2 Linear numerical processes: the approximation error
- pertubation error
- algorithm and rounding errors. Part 3 Linear algebraic systems: Gauss elimination
- other direct methods
- iteration methods. Part 4 Some linear processes and problems: errors in the FEM
- errors in the approximate solution of integral equations
- the resolvent method and its errors. Part 5 Nonlinear numerical processes: general remarks
- some unilateral variational problems
- De Saint-Venant/v. Mises and Haar/v. Karman elastic-plastic state
- the hardening problem in plasticity theory - a posteriori error estimates.
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