Christoph W. Ueberhuber's Books

Numerical Computation 1

Methods, Software, and Analysis

By: Christoph W. Ueberhuber

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Numerical Computation 1

Methods, Software, and Analysis

By: Christoph W. Ueberhuber

This book deals with various aspects of scientific numerical computing. No at tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer algebra- is thus based on applied mathematics, numerical analysis and numerical computation as well as on certain areas of computer science such as computer architecture and operating systems. Applied Mathemalies I I I Numerical Analysis Analysis, Algebra I I Numerical Computation Symbolic Computation I Operating Systems Computer Hardware Each chapter begins with sample situations taken from specific fields of appli cation. Abstract and general formulations of mathematical problems are then presented. Following this abstract level, a general discussion about principles and methods for the numerical solution of mathematical problems is presented. Relevant algorithms are developed and their efficiency and the accuracy of their results is assessed. It is then explained as to how they can be obtained in the form of numerical software. The reader is presented with various ways of applying the general methods and principles to particular classes of problems and approaches to extracting practically useful solutions with appropriately chosen numerical software are developed. Potential difficulties and obstacles are examined, and ways of avoiding them are discussed. The volume and diversity of all the available numerical software is tremendous.

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Page Count

494

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642591183

ISBN 13

9783642591181

Computational Integration

By: Arnold R. Krommer,Christoph W. Ueberhuber

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Computational Integration

By: Arnold R. Krommer,Christoph W. Ueberhuber

This survey covers a wide range of topics fundamental to calculating integrals on computer systems and discusses both the theoretical and computational aspects of numerical and symbolic methods. It includes extensive sections on one- and multidimensional integration formulas, like polynomial, number-theoretic, and pseudorandom formulas, and deals with issues concerning the construction of numerical integration algorithms.

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Page Count

449

Publisher

SIAM

Published Date

ISBN 10

0898713749

ISBN 13

9780898713749

Numerical Integration

On Advanced Computer Systems

By: Arnold R. Krommer,Christoph W. Ueberhuber

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Numerical Integration

On Advanced Computer Systems

By: Arnold R. Krommer,Christoph W. Ueberhuber

The topics in this volume constitute a fitting tribute by distinguished physicists and mathematicians. They cover strings, conformal field theories, W and Virasoro algebras, topological field theory, quantum groups, vertex and Hopf algebras, and non-commutative geometry. The relatively long contributions are pedagogical in style and address students as well as scientists.

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Page Count

366

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540584102

ISBN 13

9783540584100

Visualization of Scientific Parallel Programs

By: Gerald Tomas,Christoph W. Ueberhuber

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Visualization of Scientific Parallel Programs

By: Gerald Tomas,Christoph W. Ueberhuber

The substantial effort of parallelizing scientific programs is only justified if the resulting codes are efficient. Thus, all types of performance tuning are important to parallel software development. But performance improvements are much more difficult to achieve with parallel programs than with sequential programs. One way to overcome this difficulty is to bring in graphical tools. This monograph covers recent developments in parallel program visualization techniques and tools and demonstrates the application of specific visualization techniques and software tools to scientific parallel programs. The solution of initial value problems of ordinary differential equations, and numerical integration are treated in detail as two important examples.

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Page Count

328

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540577386

ISBN 13

9783540577386

Book's by Christoph W. Ueberhuber

Numerical Computation 1

Numerical Computation 1

Computational Integration

Computational Integration

Numerical Integration

Numerical Integration

Visualization of Scientific Parallel Programs

Visualization of Scientific Parallel Programs

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