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Average-Case Analysis of Numerical Problems de Klaus Ritter

Average-Case Analysis of Numerical Problems: Lecture Notes in Mathematics, cartea 1733

Autor Klaus Ritter
en Limba Engleză Paperback – 26 mai 2000
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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Specificații

ISBN-13: 9783540674498
ISBN-10: 3540674497
Pagini: 268
Ilustrații: XI, 252 p.
Dimensiuni: 155 x 233 x 15 mm
Greutate: 0.41 kg
Ediția:2000
Editura: Springer
Colecția Lecture Notes in Mathematics
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Recenzii

“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)