计算物理学导论（第2版）

图书标准信息

• 作者 庞涛（Tao Pang） 著
• 出版社 世界图书出版公司
• 出版时间 2011-06
• 版次 2
• ISBN 9787510035203
• 定价 69.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 385页
• 正文语种 英语

【内容简介】

《计算物理学导论（第2版）》是一部本科生和低年级研究生学习计算物理的教程。这是第二版，将第一版做了全面的更新和修订，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。

【目录】

prefacetofirstedition
preface
acknowledgments
1introduction
1.1computationandscience
1.2theemergenceofmodemcomputers
1.3computeralgorithmsandlanguages
exercises

2approximationofafunction
2.1interpolation
2.2least-squaresapproximation
2.3themillikanexperiment
2.4splineapproximation
2.5random-numbergenerators
exercises

3numericalcalculus
3.1numericaldifferentiation
3.2numericalintegration
3.3rootsofanequation
3.4extremesofafunction
3.5classicalscattering
exercises

4ordinarydifferentialequations
4.1initial-valueproblems
4.2theeulerandpicardmethods
4.3predictor-correctormethods
4.4therunge-kuttamethod
4.5chaoticdynamicsofadrivenpendulum
4.6boundary-valueandeigenvalueproblems
4.7theshootingmethod
4.8linearequationsandthesturm-liouvilleproblem
4.9theone-dimensionalschr6dingerequation
exercises

5numericalmethodsformatrices
5.1matricesinphysics
5.2basicmatrixoperations
5.3linearequationsystems
5.4zerosandextremesofmultivariablefunctions
5.5eigenvalueproblems
5.6thefaddeev-leverriermethod
5.7complexzerosofapolynomial
5.8electronicstructuresofatoms
5.9thelanczosalgorithmandthemany-bodyproblem
5.10randommatrices
exercises

6spectralanalysis
6.1fourieranalysisandorthogonalfunctions
6.2discretefouriertransform
6.3fastfouriertransform
6.4powerspectrumofadrivenpendulum
6.5fouriertransforminhigherdimensions
6.6waveletanalysis
6.7discretewavelettransform
6.8specialfunctions
6.9gaussianquadratures
exercises

7partialdifferentialequations
7.1partialdifferentialequationsinphysics
7.2separationofvariables
7.3discretizationoftheequation
7.4thematrixmethodfordifferenceequations
7.5therelaxationmethod
7.6groundwaterdynamics
7.7initial-valueproblems
7.8temperaturefieldofanuclearwasterod
exercises

8moleculardynamicssimulations
8.1generalbehaviorofaclassicalsystem
8.2basicmethodsformany-bodysystems
8.3theverletalgorithm
8.4structureofatomicclusters
8.5thegearpredictor-correctormethod
8.6constantpressure,temperature,andbondlength
8.7structureanddynamicsofrealmaterials
8.8abinitiomoleculardynamics
exercises

9modelingcontinuoussystems
9.1hydrodynamicequations
9.2thebasicfiniteelementmethod
9.3theritzvariationalmethod
9.4higher-dimensionalsystems
9.5thefiniteelementmethodfornonlinearequations
9.6theparticle-in-cellmethod
9.7hydrodynamicsandmagnetohydrodynamics
9.8thelatticeboltzmannmethod
exercises

10montecarlosimulations
10.1samplingandintegration
10.2themetropolisalgorithm
10.3applicationsinstatisticalphysics
10.4criticalslowingdownandblockalgorithms
10.5variationalquantummontecarlosimulations
10.6green'sfunctionmontecarlosimulations
10.7two-dimensionalelectrongas
10.8path-integralmontecarlosimulations
10.9quantumlatticemodels
exercises

11geneticalgorithmandprogramming
11.1basicelementsofageneticalgorithm
11.2thethomsonproblem
11.3continuousgeneticalgorithm
11.4otherapplications
11.5geneticprogramming
exercises

12numericalrenormalization
12.1thescalingconcept
12.2renormalizationtransform
12.3criticalphenomena:theisingmodel
12.4renormalizationwithmontecarlosimulation
12.5crossover:thekondoproblem
12.6quantumlatticerenormalization
12.7densitymatrixrenormalization
exercises
references
index