Ritter, Klaus 1961-
Overview
| Works: | 13 works in 34 publications in 2 languages and 914 library holdings |
|---|---|
| Roles: | Author, Editor, htt |
Publication Timeline
.
Most widely held works by
Klaus Ritter
Average-case analysis of numerical problems by
Klaus Ritter(
Book
)
6 editions published in 2000 in English and held by 532 WorldCat member libraries worldwide
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
6 editions published in 2000 in English and held by 532 WorldCat member libraries worldwide
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
Extraction of quantifiable information from complex systems by
Stephan Dahlke(
)
9 editions published in 2014 in English and held by 327 WorldCat member libraries worldwide
In April 2007, the Deutsche Forschungsgemeinschaft (DFG) approved the Priority Program 1324 "Mathematical Methods for Extracting Quantifiable Information from Complex Systems." This volume presents a comprehensive overview of the most important results obtained over the course of the program. Mathematical models of complex systems provide the foundation for further technological developments in science, engineering and computational finance. Motivated by the trend toward steadily increasing computer power, ever more realistic models have been developed in recent years. These models have also become increasingly complex, and their numerical treatment poses serious challenges. Recent developments in mathematics suggest that, in the long run, much more powerful numerical solution strategies could be derived if the interconnections between the different fields of research were systematically exploited at a conceptual level. Accordingly, a deeper understanding of the mathematical foundations as well as the development of new and efficient numerical algorithms were among the main goals of this Priority Program. The treatment of high-dimensional systems is clearly one of the most challenging tasks in applied mathematics today. Since the problem of high-dimensionality appears in many fields of application, the above-mentioned synergy and cross-fertilization effects were expected to make a great impact. To be truly successful, the following issues had to be kept in mind: theoretical research and practical applications had to be developed hand in hand; moreover, it has proven necessary to combine different fields of mathematics, such as numerical analysis and computational stochastics. To keep the whole program sufficiently focused, we concentrated on specific but related fields of application that share common characteristics and, as such, they allowed us to use closely related approaches.
9 editions published in 2014 in English and held by 327 WorldCat member libraries worldwide
In April 2007, the Deutsche Forschungsgemeinschaft (DFG) approved the Priority Program 1324 "Mathematical Methods for Extracting Quantifiable Information from Complex Systems." This volume presents a comprehensive overview of the most important results obtained over the course of the program. Mathematical models of complex systems provide the foundation for further technological developments in science, engineering and computational finance. Motivated by the trend toward steadily increasing computer power, ever more realistic models have been developed in recent years. These models have also become increasingly complex, and their numerical treatment poses serious challenges. Recent developments in mathematics suggest that, in the long run, much more powerful numerical solution strategies could be derived if the interconnections between the different fields of research were systematically exploited at a conceptual level. Accordingly, a deeper understanding of the mathematical foundations as well as the development of new and efficient numerical algorithms were among the main goals of this Priority Program. The treatment of high-dimensional systems is clearly one of the most challenging tasks in applied mathematics today. Since the problem of high-dimensionality appears in many fields of application, the above-mentioned synergy and cross-fertilization effects were expected to make a great impact. To be truly successful, the following issues had to be kept in mind: theoretical research and practical applications had to be developed hand in hand; moreover, it has proven necessary to combine different fields of mathematics, such as numerical analysis and computational stochastics. To keep the whole program sufficiently focused, we concentrated on specific but related fields of application that share common characteristics and, as such, they allowed us to use closely related approaches.
Durchschnittliche Fehler numerischer Verfahren bezüglich des Wiener-Masses by
Klaus Ritter(
Book
)
3 editions published in 1990 in German and held by 15 WorldCat member libraries worldwide
3 editions published in 1990 in German and held by 15 WorldCat member libraries worldwide
Uniform reconstruction of Gaussian processes by
Thomas Müller-Gronbach(
Book
)
3 editions published in 1995 in English and German and held by 10 WorldCat member libraries worldwide
3 editions published in 1995 in English and German and held by 10 WorldCat member libraries worldwide
Spatial adaption for predicting random functions by
T Müller-Gronbach(
Book
)
2 editions published in 1997 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 7 WorldCat member libraries worldwide
Festschrift for the 70th birthday of Joseph F. Traub : fest held in Schloss Dagstuhl, 2002(
Book
)
2 editions published in 2004 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2004 in English and held by 5 WorldCat member libraries worldwide
Step size control for the uniform approximation of systems of stochastic differential equations with additive noise by
Norbert Hofmann(
Book
)
1 edition published in 1999 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 4 WorldCat member libraries worldwide
A dual quadratic programming algorithm by
Klaus Ritter(
Book
)
3 editions published in 1984 in English and held by 4 WorldCat member libraries worldwide
By using conjugate directions a method for solving convex quadratic programming problems is developed. The algorithm generates a sequence of dual feasible solutions and terminates after a finite number of steps. Originator-supplied keywords include: Duality and Optimization
3 editions published in 1984 in English and held by 4 WorldCat member libraries worldwide
By using conjugate directions a method for solving convex quadratic programming problems is developed. The algorithm generates a sequence of dual feasible solutions and terminates after a finite number of steps. Originator-supplied keywords include: Duality and Optimization
Optimal approximation of stochastic differential equations by adaptive step size control by
Norbert Hofmann(
Book
)
1 edition published in 1998 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 4 WorldCat member libraries worldwide
The optimal discretization of stochastic differential equations by
Norbert Hofmann(
Book
)
1 edition published in 1999 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 3 WorldCat member libraries worldwide
SPATIAL ADAPTION FOR PREDICTING RANDOM FUNCTIONS by Thomas MUELLER-GRONBACH(
)
1 edition published in 1998 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1998 in Undetermined and held by 1 WorldCat member library worldwide
Spatial adaption for predicting random functions(
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Uniform reconstruction of Gaussian processes(
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
more
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Audience Level
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| General | Special | |||
Related Identities
- Dahlke, Stephan 1959- Author Editor
- Hackbusch, W. 1948- Editor
- Yserentant, Harry Editor
- Dahmen, Wolfgang 1949- Editor
- Schneider, Reinhold Editor
- Griebel, Michael 1960- Editor
- Schwab, Ch (Christoph) Editor
- Müller-Gronbach, Thomas 1960- Author
- Hofmann, Norbert Author
- Traub, J. F. (Joseph Frederick) 1932-2015
Associated Subjects
Approximation theory Computational complexity Computer algorithms Computer science--Mathematics Control theory Differential equations, Partial Distribution (Probability theory) Mathematics Numerical analysis Statistics Stochastic difference equations Stochastic processes System analysis System analysis--Mathematical models
