Average Case Analysis Of Numerical Problems
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Average-Case Analysis of Numerical Problems
Author: Klaus Ritter
language: en
Publisher: Springer Science & Business Media
Release Date: 2000-05-26
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.
Essays on the Complexity of Continuous Problems
Author: Erich Novak
language: en
Publisher: European Mathematical Society
Release Date: 2009
This book contains five essays on the complexity of continuous problems, written for a wider audience. The first four essays are based on talks presented in 2008 when Henryk Wozniakowski received an honorary doctoral degree from the Friedrich Schiller University of Jena. The focus is on the introduction and history of the complexity of continuous problems, as well as on recent progress concerning the complexity of high-dimensional numerical problems. The last essay provides a brief and informal introduction to the basic notions and concepts of information-based complexity addressed to a general readership.
Geometry, Analysis And Mechanics
Author: John Michael Rassias
language: en
Publisher: World Scientific
Release Date: 1995-01-10
This review volume consists of articles by outstanding scientists who explore Archimedes' influence on the development of mathematics, particularly on Geometry, Analysis and Mechanics.