Computation in Modern Physics

by Gibbs, William R.

• ISBN13: 9789810240158
• ISBN10: 9810240155
• Edition: 2nd
• Format: Paperback
• Copyright: 2000-07-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

The use of computers to solve modern scientific problems is very widespread. The impact of the improvement of our techniques for the solution of complex problems is difficult to overstate. Even our approach to most problems has been changed. Solutions to problems once thought intractable are being routinely secured. Instead of using oversimplified models, as has been the practice for the treatment of scientific systems in the past, the entire problem can now be attacked.

The second edition of Computation in Modern Physics develops and presents algorithms for the solution of many types of mathematical systems, some dating as far as the last few centuries, but also quite a number that have been developed within the last 10-50 years.

In this last category, close attention is paid to the rapidly developing area of Monte Carlo techniques where new conceptual views of physics problems are being brought into play. With this method, problems in a large number of dimensions can be solved through the introduction of a modern method for the representation of multidime

Table of Contents

Preface
Integration	p. 1
Introduction to Monte Carlo	p. 25
Differential Methods	p. 57
Computers for Physicists	p. 73
Linear Algebra	p. 105
Exercises in Monte Carlo	p. 131
Finite Element Methods	p. 145
Digital Signal Processing	p. 165
Chaos	p. 175
The Schrodinger Equation	p. 191
The N-body Ground State	p. 247
Divergent Series	p. 283
Scattering in the N-body System	p. 299
A Programs	p. 335
Index	p. 345
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