Klaus Ritter

Average-Case Analysis of Numerical Problems (eBook, PDF)

• Format: PDF

Produktbeschreibung

The average-case analysis of numerical problems is the counterpart of the more traditional worst-case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. The book provides a survey of results that were mainly obtained during the last 10 years and also contains new results. The problems under consideration include approximation/optimal recovery and numerical integration of univariate and multivariate functions as well as zero-finding and global optimization. Background material, e.g. on reproducing kernel Hilbert spaces and random fields, is provided.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 252
• Erscheinungstermin: 6. Mai 2007
• Englisch
• ISBN-13: 9783540455929
• Artikelnr.: 53107078

Inhaltsangabe

Linear problems: Definitions and a classical example.- Second-order results for linear problems.- Integration and approximation of univariate functions.- Linear problems for univariate functions with noisy data.- Integration and approximation of multivariate functions.- Nonlinear methods for linear problems.- Nonlinear problems.

Rezensionen

"The monograph is carefully written and gives a systematic up-to-date treatment of theoretical questions concerning the average-case analysis of numerical problems. It is helpful for both theoretical research and practical applications." (Karel Najzar, zbMATH 0949.65146, 2022)