Approximation Methods in Quantum Mechani
β A. B.; Krainov, V.; Leggett, Anthony J.(translator) Migdal
π Library
π
1969
π W. A. Benjamin, Inc
π English
β¦ LIBER β¦
π
The Best Approximation Method in Computational Mechanics
β Scribed by Theodore V. Hromadka II PhD, PhD, PH, RCE (auth.)
- Publisher
- Springer-Verlag London
- Year
- 1993
- Tongue
- English
- Leaves
- 258
- Edition
- 1
- Category
- Library
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No coin nor oath required. For personal study only.
β¦ Synopsis
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 ApproximationMethod 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.
β¦ Table of Contents
Front Matter....Pages i-xii
Topics in Functional Analysis....Pages 1-36
Integration Theory....Pages 37-56
Hilbert Space and Generalized Fourier Series....Pages 57-88
Linear Operators....Pages 89-103
The Best Approximation Method....Pages 104-133
The Best Approximation Method: Applications....Pages 134-169
Solving Potential Problems Using the Best Approximation Method....Pages 170-221
Applications to Linear Operator Equations....Pages 222-237
Back Matter....Pages 238-250
β¦ Subjects
Appl.Mathematics/Computational Methods of Engineering;Mechanics
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