Computer Arithmetic and Self-Validating Numerical Methods
eBook - PDF

Computer Arithmetic and Self-Validating Numerical Methods

  1. 316 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Computer Arithmetic and Self-Validating Numerical Methods

Book details
Table of contents
Citations

About This Book

Notes 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.

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Yes, you can access Computer Arithmetic and Self-Validating Numerical Methods by Christian Ullrich in PDF and/or ePUB format, as well as other popular books in Informatik & Datenverarbeitung. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483267814
Topic
Informatik
Subtopic
Datenverarbeitung

Table of contents

  1. Front Cover
  2. Computer Arithmetic and Self-Validating Numerical Methods
  3. Copyright Page
  4. Table of Contents
  5. Contributors
  6. Preface
  7. Acknowledgments
  8. Chapter 1. What Do We Need Beyond IEEE Arithmetic ?
  9. Chapter 2. Chips for High Precision Arithmetic
  10. Chapter 3. Enclosure Methods
  11. Chapter 4. Differentiation Arithmetics
  12. Chapter 5. Industrial Applications of Interval Techniques
  13. Chapter 6. Programming Languages for Enclosure Methods
  14. Chapter 7. The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational Methods I
  15. Chapter 8. The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational Methods II
  16. Chapter 9. Validated Solution of Initial Value Problems for ODE
  17. Chapter 10. Guaranteed Inclusions of Solutions of some Types of Boundary Value Problems
  18. Chapter 11. Periodic Solutions: Enclosure, Verification, and Applications
  19. Chapter 12. Numerical Algorithms for Existence Proofs and Error Estimates for Two-Point Boundary Value Problems
  20. Chapter 13. Aspects of Self-Validating Numerics in Banach Spaces
  21. References
  22. Appendix: IMACS-GAMM Resolution on Computer Arithmetic
  23. NOTES AND REPORTS IN MATHEMATIC SINCIENCE AND ENGINEERING