物理学和工程学中的计算方法（第2版）

图书标准信息

• 作者 S.S.M.Wong 著
• 出版社 世界图书出版公司
• 出版时间 2000-06
• 版次 1
• ISBN 9787506247207
• 定价 60.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 508页

【内容简介】

　　Computationalmethodsformanincreasinglyimportantpartoftheundergraduatecurricu-luminphysicsandengineeringthesedays.Thisbookismainlyconcernedwiththewaysthatcomputersmaybeusedtoadvanceastudentsunderstandingofphysics.Alargepartofthematerialiscommontoengineeringaswell.Thesubjectmattercoveredinthisvolumemaybeclassifiedalsounderthetitleof"computationalphysics."Thereareseveralwaystoorganizethematerialthatshouldbeincluded.Thechoicemadehereistofollowthetraditionalapproachofmathematicalphysics.Thatis，thechaptersandsectionsaregroupedaroundmethods，withphysicalproblemsusedasthemotivationandexamples.Oneattractivealternativeistogrouparoundphysicalphenomena.Thedifficultyoffollowingthiswayoforganizationistheheavyrelianceonthephysicsbackgroundofthereaders，thusmakingithardertofollowforstudentsatearlystagesoftheireducation.Forthisreason，suchanapproachisrejected.
　　此书为英文版！

【目录】

PrefacetotheFirstEdition
PrefacetotheSecondEdition
1ComputationalMethods
1-1Numericalcalculationsandbeyond
1-2Integersandfloatingnumbers
1-3Programminglanguageandprogramlibrary
1-4Examplesofalgebraic,integerandfloatingnumbercalculations
1-5Examplesofunconventionaltechniques
Problems
2IntegrationandDifferentiation
2-1Numericalintegration
2-2Rectangularandtrapezoidalrules
2-3Simpsonsrule
2-4Gaussianquadrature
2-5MonteCarlointegration
2-6Multidimensionalintegralsandimproperintegrals
2-7Numericaldifferentiation
Problems
3InterpolationandExtrapolation
3-1Polynomialinterpolation
3-2Interpolationusingrationalfunctions
3-3Continuedfraction
3-4Fouriertransform
3-5Extrapolation
3-6Inverseinterpolation
3-7Cubicspline
Problems
4SpecialFunctions
4-1Hermitepolynomialsandharmonicoscillator
4-2Legendrepolynomialsandsphericalharmonics
4-3SphericalBesselfunctions
4-4Laguerrepolynomials
4-5Errorintegralsandgammafunctions
Problems
5Matrices
5-1Systemoflinearequations
5-2MatrixinversionandLU-decomposition
5-3Matrixapproachtotheeigenvalueproblem
5-4Tridiagonalizationmethod
5-5Eigenvaluesandeigenvectorsofatridiagonalmatrix
5-6Lanczosmethodofconstructingmatrices
5-7Nonsymmetricmatricesandcomplexmatrices
Problems
6MethodsofLeastSquares
6-1Statisticaldescriptionofdata
6-2Uncertaintiesandtheirpropagation
6-3Themethodofmaximumlikelihood
6-4Themethodofleastsquares
6-5Statisticaltestsoftheresults
6-6Linearleast-squaresfit
6-7Nonlinearleast-squaresfittodata
Problems
7MonteCarloCalculations
7-1Generationofrandomnumbers
7-2MoleculardiffusionandBrownianmotion
7-3Datasimulationandhypothesistesting
7-4Percolationandcriticalphenomena
7-5TheIsingmodel
7-6Pathintegralsinquantummechanics
7-7Fractals
Problems
8FiniteDifferenceSolutionofDifferentialEquations
8-1Typesofdifferentialequations
8-2Runge-Kuttamethods
8-3Solutionofinitialvalueproblemsbyextrapolation
8-4Boundaryvalueproblemsbyshootingmethods
8-5Relaxationmethods
8-6Boundaryvalueproblemsinpartialdifferentialequations
8-7Parabolicpartialdifferentialequations
8-8Hyperbolicpartialdifferentialequations
8-9Nonlineardifferentialequations
8-10Stiffnessproblems
Problems
9FiniteElementSolutiontoPDE
9-1Background
9-2Shapefunctionsandfiniteelementapproximation
9-3Assemblingcontributionsfromelements
9-4Variationalapproach
9-5Applicationtoatwo-dimensionalPoissonequation
Problems
AppendixA
A-1Decompositionintoprimenumbers
A-2Bit-reversedorder
A-3Gaussianeliminationofatridiagonalmatrix
A-4Randombitgenerator
A-5Reductionofhigher-orderODEtofirst-order
AppendixBListofFortranProgramExamples
Bibliography
Index