Error Analysis in Numerical Processes
Published on 15. August 1991
Book
Hardback
286 pages
978-0-471-92133-2 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Chichester
United Kingdom
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
illustrations, references, index
Dimensions
Height: 235 mm
Width: 158 mm
Weight
570 gr
ISBN-13
978-0-471-92133-2 (9780471921332)
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Schweitzer Classification
Content
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.