Beschreibung
The first edition of Computer Simulations with Mathematica drew on the capabilities of Mathematica to prototype algorithms & to write code in a variety of programming styles, choosing the appropriate style for the problem at hand. Today, running very large simulations in Mathematics is quite feasible, within an order of magnitude of complied C and Fortran code. This new edition takes advantage of these features & includes the following significant additions: a¿¢ Java has become a commonly used tool for working with scientific applications. This book fully incorporates Java programs to run the simulations that are described & implemented in the book. a¿¢ This is one of the first books to describe & take advantage of Mathematica 6, which contains a fantastic array of new visualization functions & dynamic interactive graphics machinery. a¿¢ Several websites are maintained with Mathematica notebooks, C source code & compiled C Binaries for various platforms. A minimal background in Mathematica programming is assumed.
Inhaltsverzeichnis
Probabilistic Systems.- The Random Walk.- The Self-avoiding Walk.- Accretion.- Kinetic Growth Models.- Percolation Clustering.- Ising Model.- Co-evolution Model.- Cellular Automata Systems.- The Game of Life.- Self-organized Critical Systems.- The Q2R Ising Model.- Excitable Media.- Traffic.- Forest Fires.- Cellular Automata and Complexity.- Appendices.- Mathematica Programming.- Java.- Java Source Code
