Klaus Ritter

Average-Case Analysis of Numerical Problems

• Broschiertes Buch

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

• Lecture Notes in Mathematics 1733
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-67449-8
• 2000.
• Seitenzahl: 268
• Erscheinungstermin: 26. Mai 2000
• Deutsch, Englisch
• Abmessung: 233mm x 155mm x 15mm
• Gewicht: 431g
• ISBN-13: 9783540674498
• ISBN-10: 3540674497
• Artikelnr.: 09175094

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)