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Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis)

(Computer-Orientated Numerical Analysis)

  • Book
  • © 1980

Overview

Editors:
  1. Götz Alefeld

    1. Fachbereich 3, Mathematik Technische Universität Berlin, Deutschland

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    You can also search for this editor in PubMed   Google Scholar

  2. Rolf Dieter Grigorieff

    1. Fachbereich 3, Mathematik Technische Universität Berlin, Deutschland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Computing Supplementa (COMPUTING, volume 2)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. On Methods for the Construction of the Boundaries of Sets of Solutions for Differential Equations or Finite-Dimensional Approximations with Input Sets

    • E. Adams
    Pages 1-16

  3. Roundings and Approximations in Ordered Sets

    • R. Albrecht
    Pages 17-31

  4. Interval Analysis in the Extended Interval Space IR

    • E. Kaucher
    Pages 33-49

  5. Arithmetic Operations in Interval Spaces

    • U. W. Kulisch, W. L. Miranker
    Pages 51-67

  6. Some Applications of Extended Interval Arithmetic to Interval Iterations

    • S. M. Markov
    Pages 69-84

  7. Foundations of Finite Precision Rational Arithmetic

    • D. W. Matula, P. Kornerup
    Pages 85-111

  8. Interval Methods for Nonlinear Systems

    • R. E. Moore
    Pages 113-120

  9. Algorithms for Multiplication with Given Precision

    • W. Oberaigner
    Pages 121-129

  10. Unrestricted Algorithms for Generating Elementary Functions

    • F. W. J. Olver
    Pages 131-140

  11. Applications of Software for Automatic Differentiation in Numerical Computation

    • L. B. Rall
    Pages 141-156

  12. Small Bounds for the Solution of Systems of Linear Equations

    • S. M. Rump, E. Kaucher
    Pages 157-164

  13. Shorthand Notation for Rounding Errors

    • R. Scherer, K. Zeller
    Pages 165-168

  14. Rounding Error Analysis of Elementary Numerical Algorithms

    • F. Stummel
    Pages 169-195

  15. Iterative Methods in the Spaces of Rounded Computations

    • Ch. Ullrich
    Pages 197-209

  16. Portable Software for Interval Arithmetic

    • J. M. Yohe
    Pages 211-229
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Keywords

Editors and Affiliations

  • Fachbereich 3, Mathematik Technische Universität Berlin, Deutschland

    Götz Alefeld, Rolf Dieter Grigorieff

Bibliographic Information

  • Book Title: Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis)

  • Book Subtitle: (Computer-Orientated Numerical Analysis)

  • Editors: Götz Alefeld, Rolf Dieter Grigorieff

  • Series Title: Computing Supplementa

  • DOI: https://doi.org/10.1007/978-3-7091-8577-3

  • Publisher: Springer Vienna

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag/Wien 1980

  • Softcover ISBN: 978-3-211-81566-3Published: 31 December 1980

  • eBook ISBN: 978-3-7091-8577-3Published: 06 December 2012

  • Series ISSN: 0344-8029

  • Edition Number: 1

  • Number of Pages: VIII, 229

  • Topics: Numerical Analysis

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