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Principles and Procedures of Numerical Analysis

  • Book
  • © 1978

Overview

Authors:
  1. Ferenc Szidarovszky

    1. Eötvös Loránd University, Budapest, Hungary

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    You can also search for this author in PubMed   Google Scholar

  2. Sidney Yakowitz

    1. University of Arizona, Tucson, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematical Concepts and Methods in Science and Engineering (MCSENG, volume 14)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xii
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  2. Preliminaries

    • Ferenc Szidarovszky, Sidney Yakowitz
    Pages 1-24

  3. Approximation and Interpolation of Functions

    • Ferenc Szidarovszky, Sidney Yakowitz
    Pages 25-71

  4. Numerical Differentiation and Integration

    • Ferenc Szidarovszky, Sidney Yakowitz
    Pages 73-109

  5. General Theory for Iteration Methods

    • Ferenc Szidarovszky, Sidney Yakowitz
    Pages 111-140

  6. Solution of Nonlinear Equations

    • Ferenc Szidarovszky, Sidney Yakowitz
    Pages 141-178

  7. The Solution of Simultaneous Linear Equations

    • Ferenc Szidarovszky, Sidney Yakowitz
    Pages 179-220

  8. The Solution of Matrix Eigenvalue Problems

    • Ferenc Szidarovszky, Sidney Yakowitz
    Pages 221-256

  9. The Numerical Solution of Ordinary Differential Equations

    • Ferenc Szidarovszky, Sidney Yakowitz
    Pages 257-293

  10. The Numerical Solution of Partial Differential Equations

    • Ferenc Szidarovszky, Sidney Yakowitz
    Pages 295-319

  11. Back Matter

    Pages 321-331
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Keywords

About this book

It is an incontestable fact that numerical analysis techniques are used rou­ tinely (although not always effectively) in virtually every quantitative field of scientific endeavor. In this book, which is directed toward upper-division and graduate level students in engineering and mathematics, we have selected for discussion subjects that are traditionally found in numerical analysis texts. But our choice of methodology rejects the traditional where analysis and experience clearly warrant such a departure, and one of our primary aspirations in this work is to equip the reader with the wherewithal to apply numerical analysis thinking to nontraditional subjects. For there is a plethora of computer-oriented sciences such as optimization, statistics, and system analysis and identification that are sorely in need of methods comparable to those related here for classical numerical analysis problems. Toward uncovering for the reader the structure of numerical methods we have, for example, devoted a chapter to a metric space theory for iter­ ative application of operators. In this chapter, we have collected those definitions and concepts of real and functional analysis that are requisite to a modern intermediate-level exposition of the principles of numerical anal­ ysis. Further, we derive the abstract theory (most notably, the contraction mapping theorem) for iteration processes.

Authors and Affiliations

  • Eötvös Loránd University, Budapest, Hungary

    Ferenc Szidarovszky

  • University of Arizona, Tucson, USA

    Sidney Yakowitz

Bibliographic Information

  • Book Title: Principles and Procedures of Numerical Analysis

  • Authors: Ferenc Szidarovszky, Sidney Yakowitz

  • Series Title: Mathematical Concepts and Methods in Science and Engineering

  • DOI: https://doi.org/10.1007/978-1-4899-2750-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1978

  • Softcover ISBN: 978-0-306-40087-2Published: 01 January 1978

  • eBook ISBN: 978-1-4899-2750-7Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: XII, 331

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Applications of Mathematics

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