vbid/9783319272658

Description

This new edition is a concise introduction to the basic methods of computational physics. Readers�will discover the benefits of numerical methods for solving complex mathematical problems and for the�direct simulation of physical processes. The book is divided into two main parts: Deterministic methods and stochastic methods in computational�physics. Based on concrete problems, the first part discusses numerical differentiation and integration, as well as the treatment of ordinary differential equations. This is extended by a brief introduction to the�numerics of partial differential equations. The second part deals with the generation of random numbers,�summarizes the basics of stochastics, and subsequently introduces Monte-Carlo (MC) methods. Specific�emphasis is on MARKOV chain MC algorithms. The final two chapters discuss data analysis and stochastic�optimization. All this is again motivated and augmented by applications from physics. Inaddition, the book�offers a number of appendices to provide the reader with information on topics not discussed in the main text. Numerous problems with worked-out solutions, chapter introductions and summaries, together with a clear�and application-oriented style support the reader. Ready to use C++ codes are provided online.Typham this is the title: Basic Concepts in Computational Physics 2nd Edition