Computer Simulation and Computer Algebra: Lectures for Beginners

✍ Scribed by Professor Dr. Dietrich Stauffer, Professor Dr. Friedrich W. Hehl, Dr. Nobuyasu Ito, Dipl.-Phys. Volker Winkelmann, Professor Dr. John G. Zabolitzky (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1993
• Tongue: English
• Leaves: 278
• Edition: 3
• Category: Library

✦ Synopsis

Computer Simulation and Computer Algebra. Starting from simple examples in classical mechanics, these introductory lectures proceed to simulations in statistical physics (using FORTRAN) and then explain in detail the use of computer algebra (by means of Reduce). This third edition takes into account the most recent version of Reduce (3.4.1) and updates the description of large-scale simulations to subjects such as the 170000 X 170000 Ising model. Furthermore, an introduction to both vector and parallel computing is given.

✦ Table of Contents

Front Matter....Pages I-X
Front Matter....Pages 1-3
Motion of a Classical Point-Like Particle....Pages 5-13
Short Course in FORTRAN Programming Methodology....Pages 15-18
Methods of Higher Accuracy (and Efficiency)....Pages 19-35
Finding Extremal Points of Motion....Pages 37-49
Statics and Dynamics of Strings....Pages 51-58
Dynamics of Strings....Pages 59-63
Literature....Pages 65-65
Front Matter....Pages 67-72
Random Numbers....Pages 73-77
Ising Model....Pages 79-84
Cellular Automata (Q2R and Creutz)....Pages 85-89
Diffusion and Percolation....Pages 91-94
Eden Clusters....Pages 95-98
Kauffman Model....Pages 99-102
Summary....Pages 103-103
Appendix: A Short Introduction to FORTRAN....Pages 105-108
Literature....Pages 109-109
Front Matter....Pages 111-111
Basic Idea....Pages 113-116
An Example — Q2R....Pages 117-125
More About Vector Processing....Pages 127-135
Before and After the Vectorization....Pages 137-137
Front Matter....Pages 111-111
Parallel Computing....Pages 139-144
Front Matter....Pages 145-149
First Lecture....Pages 151-162
Second Lecture....Pages 163-176
Third Lecture....Pages 177-186
Fourth Lecture....Pages 187-197
Fifth Lecture....Pages 199-212
Sixth Lecture....Pages 213-216
Seventh Lecture....Pages 227-255
Back Matter....Pages 257-289

✦ Subjects

Theory of Computation;Mathematical Methods in Physics;Numerical and Computational Physics;Thermodynamics;Statistical Physics, Dynamical Systems and Complexity;Mechanics