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The Best Approximation Method in Computational Mechanics

  • Book
  • © 1993

Overview

Authors:
  1. Theodore V. Hromadka

    1. Fullerton and Computational Hydrology Institute, California State University, Irvine, USA

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
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  2. Topics in Functional Analysis

    • Theodore V. Hromadka II
    Pages 1-36

  3. Integration Theory

    • Theodore V. Hromadka II
    Pages 37-56

  4. Hilbert Space and Generalized Fourier Series

    • Theodore V. Hromadka II
    Pages 57-88

  5. Linear Operators

    • Theodore V. Hromadka II
    Pages 89-103

  6. The Best Approximation Method

    • Theodore V. Hromadka II
    Pages 104-133

  7. The Best Approximation Method: Applications

    • Theodore V. Hromadka II
    Pages 134-169

  8. Solving Potential Problems Using the Best Approximation Method

    • Theodore V. Hromadka II
    Pages 170-221

  9. Applications to Linear Operator Equations

    • Theodore V. Hromadka II
    Pages 222-237

  10. Back Matter

    Pages 238-250
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Keywords

About this book

With the overwhelming use of computers in engineering, science and physics, the approximate solution of complex mathematical systems of equations is almost commonplace. The Best Approximation Method unifies many of the numerical methods used in computational mechanics. Nevertheless, despite the vast quantities of synthetic data there is still some doubt concerning the validity and accuracy of these approximations. This publication assists the computer modeller in his search for the best approximation by presenting functional analysis concepts. Computer programs are provided which can be used by readers with FORTRAN capability. The classes of problems examined include engineering applications, applied mathematics, numerical analysis and computational mechanics. The Best Approximation Method in Computational Mechanics serves as an introduction to functional analysis and mathematical analysis of computer modelling algorithms. It makes computer modellers aware of already established principles and results assembled in functional analysis.

Authors and Affiliations

  • Fullerton and Computational Hydrology Institute, California State University, Irvine, USA

    Theodore V. Hromadka

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