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Computer Arithmetic and Self-Validating Numerical Methods
- 1st Edition - May 10, 2014
- Editor: Christian Ullrich
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 4 7 8 4 - 7
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 6 7 8 1 - 4
Notes and Reports in Mathematics in Science and Engineering, Volume VII: Computer Arithmetic and Self-Validating Numerical Methods compiles papers presented at the first… Read more
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Request a sales quoteNotes and Reports in Mathematics in Science and Engineering, Volume VII: Computer Arithmetic and Self-Validating Numerical Methods compiles papers presented at the first international conference on “Computer Arithmetic and Self-Validating Numerical Methods,” held in Basel from October 2 to 6, 1989. This book begins by providing a tutorial introduction to computer arithmetic with operations of maximum accuracy, differentiation arithmetic and enclosure methods, and programming languages for self-validating numerical methods. The rest of the chapters discuss the determination of guaranteed bounds for eigenvalues by variational methods and guaranteed inclusion of solutions of differential equations. An appendix covering the IMACS-GAMM resolution on computer arithmetic is provided at the end of this publication. This volume is recommended for researchers and professionals working on computer arithmetic and self-validating numerical methods.
Contributors
Preface
Acknowledgments
What Do We Need beyond IEEE Arithmetic?
Chips for High Precision Arithmetic
Enclosure Methods
Differentiation Arithmetics
Industrial Applications of Interval Techniques
Programming Languages for Enclosure Methods
The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational Methods I
The Determination of Guaranteed Bounds to Eignevalues with the Use of Variational Methods II
Validated Solution of Initial Value Problems for ODE
Guaranteed Inclusions of Solutions of Some Types of Boundary Value Problems
Periodic Solutions: Enclosure, Verification, and Applications
Numerical Algorithms for Existence Proofs and Error Estimates for Two-Point Boundary Value Problems
Aspects of Self-Validating Numerics in Banach Spaces
Appendix: IMACS-GAMM Resolution on Computer Arithmetic
- No. of pages: 316
- Language: English
- Edition: 1
- Published: May 10, 2014
- Imprint: Academic Press
- Paperback ISBN: 9781483247847
- eBook ISBN: 9781483267814
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