计算物理学导论 英文版 作者：（英）TaoPang 著 出版时间： 2001年版 内容简介 这是一本非常新的计算物理学教程．它介绍了计算物理学的基本方法和最新进展，论述了许多计算物理学的现代新课题。书中包括一些与现代物理学有关的实用数值方法的例题，每章末有练习题。本书主要包括：绪论；基础数值法；常微分方程；矩阵数值法；光谱分析法和高斯求积；偏微分方程；分子动力学模拟；模拟连续系统；蒙特卡罗模拟；数值重正化；符号计算；高性能计算。读者对象：计算物理学及相关学科的大学生、研究生和科研人员。 目录 Preface disclaimer of Warranties Acknowledgment 1 Introduction 1.1 Computations and science 1.2 The emergence of modern computers 1.3 Computer algorithms and languages 2 Basic numerical methods 2.1 Interpolations and approximations 2.2 differentiation and integration 2.3 Zeros and extremes of a single-variable function 2.4 Classical scattering 2.5 Random number generators 3 Ordinary differential equations 3.1 initial-value problems 3.2 The Euler and Picard methods 3.3 Predictor-corrector methods 3.4 The Runge-kutta method 3.5 Chaotic dynamics of a driven pendulum 3.6 Boundary-value and eignevalue problems 3.7 The shooting method 3.8 Linear equations and the Sturm-Lioville problem 3.9 The on-dimensional Schordinger equation 4 Numerical methodes for matrices …… 5 Spectral analysis and Gaussian quadrature 6 Partial differential equations 7 Molecular dynamics simulations 8 Modeling continuous systems 9 Monte Carlo simulations 10 Numerical renormalization 11 Symbolic computing 12 High-performance computing References Index
