Numerical Toolbox for Verified Computing I : Basic Numerical Problems Theory, Algorithms, and Pascal-XSC Programs

Rolf Hammer

ISBN 10: 3642784259 / ISBN 13: 9783642784255

Published by Springer Berlin Heidelberg, 2011

About this Item

Druck auf Anfrage Neuware - Printed after ordering - As suggested by the title of this book Numerical Toolbox for Verified Computing, we present an extensive set of sophisticated tools to solve basic numerical problems with a verification of the results. We use the features of the scientific computer language PASCAL-XSC to offer modules that can be combined by the reader to his/her individual needs. Our overriding concern is reliability - the automatic verification of the result a computer returns for a given problem. All algorithms we present are influenced by this central concern. We must point out that there is no relationship between our methods of numerical result verification and the methods of program verification to prove the correctness of an imple~entation for a given algorithm. This book is the first to offer a general discussion on arithmetic and computational reliability, analytical mathematics and verification techniques, algorithms, and (most importantly) actual implementations in the form of working computer routines. Our task has been to find the right balance among these ingredients for each topic. For some topics, we have placed a little more emphasis on the algorithms. For other topics, where the mathematical prerequisites are universally held, we have tended towards more in-depth discussion of the nature of the computational algorithms, or towards practical questions of implementation. For all topics, we present exam ples, exercises, and numerical results demonstrating the application of the routines presented.

Seller Inventory # 9783642784255

Bibliographic Details

• Title: Numerical Toolbox for Verified Computing I : Basic Numerical Problems Theory, Algorithms, and Pascal-XSC Programs
• Publisher: Springer Berlin Heidelberg
• Publication Date: 2011
• Language: English
• ISBN 10: 3642784259
• ISBN 13: 9783642784255
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

This book presents an extensive set of tools for solving basic numerical problems with verification of the results using the scientific computer language PASCAL-XSC. It contains implementations of algorithms and many examples and exercises. Some topics covered are usually not found in standard numerical analysis texts. It is written for engineers, mathematicians and scientists working in scientific computing.