Numerical Toolbox for Verified Computing I: Basic Numerical Problems Theory, Algorithms, and Pascal-XSC Programs: 21 (Springer Series in Computational Mathematics) - Softcover

Hammer, Rolf; Hocks, Matthias; Kulisch, Ulrich; Ratz, Dietmar

9783642784255: Numerical Toolbox for Verified Computing I: Basic Numerical Problems Theory, Algorithms, and Pascal-XSC Programs: 21 (Springer Series in Computational Mathematics)

Softcover

ISBN 10: 3642784259 ISBN 13: 9783642784255

Verlag: Springer, 2011

Alle Exemplare dieser ISBN-Ausgabe

0 Gebraucht

4 Neu

Von EUR 106,99

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Rese�a del editor

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.

Rese�a del editor

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.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag: Springer
Erscheinungsdatum: 2011
Sprache: Englisch
ISBN 10: 3642784259
ISBN 13: 9783642784255
Einband: Tapa blanda
Anzahl der Seiten: 364
Kontakt zum Hersteller: Nicht verf�gbar
Verantwortliche Person: CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Deutschland

Neu kaufen

Diesen Artikel anzeigen

EUR 106,99

W�hrung umrechnen

Gratis f�r den Versand innerhalb von/der Deutschland

Versandziele, Kosten & Dauer

In den Warenkorb

Weitere beliebte Ausgaben desselben Titels

9783540571186: Numerical Toolbox for Verified Computing I: Basic Numerical Problems Theory, Algorithms, and Pascal-Xsc Programs: v. 21 (Springer Series in Computational Mathematics)

Vorgestellte Ausgabe

ISBN 10: 3540571183 ISBN 13: 9783540571186
Verlag: Springer-Verlag Berlin and Heide..., 1993
Hardcover

Springer, 2011 (Softcover)

Suchergebnisse f�r Numerical Toolbox for Verified Computing I: Basic Numerical...

Foto des Verk�ufers

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

Rolf Hammer

Verlag: Springer Berlin Heidelberg, 2011

ISBN 10: 3642784259 ISBN 13: 9783642784255

Neu Taschenbuch

Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland

Verk�uferbewertung 5 von 5 Sternen

Taschenbuch. Zustand: Neu. 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. Artikel-Nr. 9783642784255

Verk�ufer kontaktieren