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Numerical Computation 1

Methods, Software, and Analysis

  • Textbook
  • © 1997

Overview

Authors:
  1. Christoph W. Ueberhuber

    1. Technical University of Vienna, Vienna, Austria

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Scientific Modeling

    • Christoph W. Ueberhuber
    Pages 1-8

  3. Fundamental Principles of Numerical Methods

    • Christoph W. Ueberhuber
    Pages 9-67

  4. Computers for Numerical Data Processing

    • Christoph W. Ueberhuber
    Pages 68-105

  5. Numerical Data and Numerical Operations

    • Christoph W. Ueberhuber
    Pages 106-171

  6. Numerical Algorithms

    • Christoph W. Ueberhuber
    Pages 172-218

  7. Numerical Programs

    • Christoph W. Ueberhuber
    Pages 219-271

  8. Available Numerical Software

    • Christoph W. Ueberhuber
    Pages 272-307

  9. Using Approximation in Mathematical Model Building

    • Christoph W. Ueberhuber
    Pages 308-352

  10. Interpolation

    • Christoph W. Ueberhuber
    Pages 353-439

  11. Back Matter

    Pages 440-477
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Keywords

About this book

This book deals with various aspects of scientific numerical computing. No at­ tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer algebra- is thus based on applied mathematics, numerical analysis and numerical computation as well as on certain areas of computer science such as computer architecture and operating systems. Applied Mathemalies I I I Numerical Analysis Analysis, Algebra I I Numerical Computation Symbolic Computation I Operating Systems Computer Hardware Each chapter begins with sample situations taken from specific fields of appli­ cation. Abstract and general formulations of mathematical problems are then presented. Following this abstract level, a general discussion about principles and methods for the numerical solution of mathematical problems is presented. Relevant algorithms are developed and their efficiency and the accuracy of their results is assessed. It is then explained as to how they can be obtained in the form of numerical software. The reader is presented with various ways of applying the general methods and principles to particular classes of problems and approaches to extracting practically useful solutions with appropriately chosen numerical software are developed. Potential difficulties and obstacles are examined, and ways of avoiding them are discussed. The volume and diversity of all the available numerical software is tremendous.

Reviews

"The two volumes can be highly recommended for newcomers in the area as well as for people working for a long time in or with computer numerics." - EUROSIM - Simulation News Europe

"...This book is highly recommended to students, scientists, and engineers interested in the numerical solution of mathematical problems. It is very useful as a handbook for both newcomers and experts. Every science/engineering\-/mathematics/computer science library should have a copy of this book."--MATHEMATICAL REVIEWS

Authors and Affiliations

  • Technical University of Vienna, Vienna, Austria

    Christoph W. Ueberhuber

Bibliographic Information

  • Book Title: Numerical Computation 1

  • Book Subtitle: Methods, Software, and Analysis

  • Authors: Christoph W. Ueberhuber

  • DOI: https://doi.org/10.1007/978-3-642-59118-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-62058-7Published: 27 February 1997

  • eBook ISBN: 978-3-642-59118-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVI, 474

  • Number of Illustrations: 31 b/w illustrations

  • Topics: Numerical Analysis, Algorithms, Mathematics of Computing, Computational Intelligence

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