Numerical Toolbox for Verified Computing I
Subtitle: Basic Numerical Problems Theory, Algorithms, and Pascal-XSC Programs
By: by Ulrich Kulisch, Rolf Hammer, Dietmar Ratz, Matthias Hocks
Contributors: Hammer, Rolf; Ratz, Dietmar; Hocks, Matthias
Series: Springer Series in Computational Mathematics -- 21; Springer Series in Computational Mathematics -- 21
Publisher: Springer Berlin Heidelberg
Published: 1993
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 339
ISBN-13: 9783642784255; 9783642784231
Subjects: Mathematics; Numerical analysis; Computer science
Description: This book presents an extensive set of sophisticated tools to solve numerical problems with a verification of the results using the features of the scientific computer language PASCAL-XSC. The overriding concern of this book is reliability - the automatic verification of the result a computer returns for a given problem. 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. In each chapter, examples, exercises, and numerical results demonstrate the application of the routines presented. It is not assumed that the reader has any prior formal knowledge of numerical verification or any familiarity with interval analysis. Some of the subjects that the book covers in detail are not usually found in standard numerical analysis texts. This book is intended primarily as a reference text, however, it can also be used as a textbook for an advanced course in scientific computation with automatic result verification.
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