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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
illustrations, references, index
Maße
Höhe: 235 mm
Breite: 158 mm
Gewicht
ISBN-13
978-0-471-92133-2 (9780471921332)
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Schweitzer Klassifikation
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.
