
《计算物理学导论》是2011年6月1日世界首投卫味尔适图书出版公司出版的图书,作者是(美国)庞涛。
- 书名 计算物理学导论
- 作者 (美国)庞涛
- 原作品 an introduction to computational physics(second edition)
- 出版社 世界图书出版公司
- 出版时间 2011年6月1日
《计算物理学导论(第2版)》是第二版,将第一版做了全面的更新和改修订,改进后的课程不仅提供了学习计算物理学的基本方法,也全面介绍了计算科学领域的最新进展。书中讲述了许多具体例子,包括现代物理和相关领域的数值方法实践计算。每章末有练习题。《计算物理学导论(第2版)》不仅是一部教程,更是相关计算领域的一本很好的参考书。目次:绪论;函数逼近;数值微积分;基础数值法;常微分方程;矩阵数值法;光谱分析法;偏微分方程;分子动力学模拟;模拟连续系统;蒙特卡罗模拟;遗传算法和程序;数值重正化。
语次示精起京发罪包扬药目录
preface to first edition
preface
acknowledgments
1 in来自troduction
1.1 computation and science
1.批运补2 the emergence of modem com360百科puters
1.3 computer algorithms and languages
exercises
2 approximation of a function
2.1 interpolation
2.助事香2 least-squares approximation
2.3 the milli好饭kan experiment
2.4 spli日财境ne approx南开亮儿角imation
2.5 ran沿身校dom-number generators
族把进正练众热 exercises
天贵丰往却 3 numerical cal爱苏的它肥或钢斤黄culus
3.1 numerical differentia清微座促费散攻底tion
3.2 numeri台大米处批排cal integration
3.3 roots of an equation
3.4 extremes of a function
3.5 classi困cal scattering
exercises
4 ordinary differential equations
4.1 initial-value problems
4.2 the euler and picard methods
4.3 predictor-corrector methods
4.4 the r持unge-kutta method
4.5 chaotic dynamics of a driven pendulum
4.6 boundary-value and eigenvalue problems
4.7 th口e shooting method
4.8 linear equations and the sturm-liouville problem
4.9 the one-dimensional schr6dinger equati德on
exer均育控记战增金cises
5 numerical methods for matrices
5.1 matrices in physics
5.2 basic matrix operations
5.3 linear equation systems
5.4 zeros and extremes of multivariable functions
5.5 eigenvalue problems
5.6 the faddeev-leverrier method
5.7 complex zeros of a polynomial
5.8 electronic structures of atoms
5.9 the lanczos algorithm and the many-body problem
5.10 random matrices
exercises
6 spectral analysis
6.1 fourier analysis and orthogonal functions
6.2 discrete fourier transform
6.3 fast fourier transform
6.4 power spectrum of a driven pendulum
6.5 fourier transform in higher dimensions
6.6 wavelet analysis
6.7 discrete wavelet transform
6.8 special functions
6.9 gaussian quadratures
exercises
7 partial differential equations
7.1 partial differential equations in physics
7.2 separation of variables
7.3 discretization of the equation
7.4 the matrix method for difference equations
7.5 the relaxation method
7.6 groundwater dynamics
7.7 initial-value problems
7.8 temperature field of a nuclear waste rod
exercises
8 molecular dynamics simulations
8.1 general behavior of a classical system
8.2 basic methods for many-body systems
8.3 the verlet algorithm
8.4 structure of atomic clusters
8.5 the gear predictor-corrector method
8.6 constant pressure, temperature, and bond length
8.7 structure and dynamics of real materials
8.8 ab initio molecular dynamics
exercises
9 modeling continuous systems
9.1 hydrodynamic equations
9.2 the basic finite element method
9.3 the ritz variational method
9.4 higher-dimensional systems
9.5 the finite element method for nonlinear equations
9.6 the particle-in-cell method
9.7 hydrodynamics and magnetohydrodynamics
9.8 the lattice boltzmann method
exercises
10 monte carlo simulations
10.1 sampling and integration
10.2 the metropolis algorithm
10.3 applications in statistical physics
10.4 critical slowing down and block algorithms
10.5 variational quantum monte carlo simulations
10.6 green's function monte carlo simulations
10.7 two-dimensional electron gas
10.8 path-integral monte carlo simulations
10.9 quantum lattice models
exercises
11 genetic algorithm and programming
11.1 basic elements of a genetic algorithm
11.2 the thomson problem
11.3 continuous genetic algorithm
11.4 other applications
11.5 genetic programming
exercises
12 numerical renormalization
12.1 the scaling concept
12.2 renormalization transform
12.3 critical phenomena: the ising model
12.4 renormalization with monte carlo simulation
12.5 crossover: the kondo problem
12.6 quantum lattice renormalization
12.7 density matrix renormalization
exercises
references
index
作者简介
作者:(美国)庞涛(TaoPang)