Computational physics simulation of classical and quantum systems / [electronic resource] :
- 作者: Scherer, Philipp O.J.
- 其他作者:
- 其他題名:
- Graduate texts in physics.
- 出版: Heidelberg : Springer International Publishing :Imprint: Springer
- 版本:2nd ed.
- 叢書名: Graduate texts in physics,
- 主題: Mathematical physics. , Physics--Data processing. , Physics. , Numerical and Computational Physics. , Mathematical Applications in the Physical Sciences. , Appl.Mathematics/Computational Methods of Engineering. , Theoretical and Computational Chemistry.
- ISBN: 9783319004013 (electronic bk.) 、 9783319004006 (paper)
- FIND@SFXID: CGU
- 資料類型: 電子書
-
讀者標籤:
- 系統號: 005393658 | 機讀編目格式
館藏資訊
This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.