注册 | 登录读书好,好读书,读好书!
读书网-DuShu.com
当前位置: 首页出版图书科学技术自然科学自然科学总论偏微分方程的数值方法:英文版

偏微分方程的数值方法:英文版

偏微分方程的数值方法:英文版

定 价:¥76.00

作 者: ( )J.W.Thomas著
出版社: 世界图书出版公司北京公司
丛编项:
标 签: 微积分

ISBN: 9787506272698 出版时间: 2005-06-01 包装: 简裝本
开本: 22cm 页数: 字数:  

内容简介

  本书分为两卷(或者称为两部分),分别列入Springer《应用数学丛书》之22卷和33卷,内容取自作者在克罗拉多州立大学所开的研究生课程讲义,该课程讲授偏微分方程的差分解法,授课的对象为应用数学和工程专业的研究生。本书的特点是强调实际上机操作,阅读本书需要一定的偏微分方程基础知识和编程能力,本书可以作为研究生和高年级大学生学习计算数学的教科书。第1卷《数值偏微分方程——有限差分法》(Numerical Partial Differential Equations: Finite Difference Methods)已购权影印出版,编号为WB3299。

作者简介

暂缺《偏微分方程的数值方法:英文版》作者简介

图书目录

SeriesPreface.
Preface
PrefacetoPart1
ContentsofPart1
StabilityofInitial-Boundary-ValueSchemes
8.1Introduction
8.2Stability
8.2.1Stability:AnEasyCase
8.2.2Stability:AnotherEasyCase
8.2.3GKSO:GeneralTheory
8.2.4LeftQuarterPlaneProblems
8.3ConstructingStableDifferenceSchemes
8.4ConsistencyandConvergence
8.4.1NormsandConsistency
8.4.2ConsistencyofNumericalBoundaryConditions
8.4.3ConvergenceTheorem:Gustafsson
8.5SchemesWithoutNumericalBoundaryConditions
8.6ParabolicInitial-Boundary-ValueProblems
9ConservationLaws
9.1Introduction
9.2TheoryofScalarConservationLaws
9.2.1ShockFormation
9.2.2WeakSolutions
9.2.3DiscontinuousSolutions
9.2.4TheEntropyCondition
9.2.5SolutionofScalarConservationLaws
9.3TheoryofSystemsofConservationLaws
9.3.1SolutionsofPdemannProblems
9.4ComputationalInterludeVI
9.5NumericalSolutionofConservationLaws
9.5.1Introduction
9.6DifferenceSchemesforConservationLaws
9.6.1Consistency
9.6.2ConservativeSchemes
9.6.3DiscreteConservation
9.6.4TheCourant-Friedrichs-LewyCondition
9.6.5Entropy
9.7DifferenceSchemesforScalarConservationLaws
9.7.1Definitions
9.7.2Theorems
9.7.3GodunovScheme
9.7.4HighResolutionSchemes
9.7.5Flux-LimiterMethods
9.7.6Slope-LimiterMethods
9.7.7ModifiedFluxMethod
9.8DifferenceSchemesforK-SystemConservationLaws
9.9GodunovSchemes
9.9.1GodunovSchemesforLinearK-System
ConservationLaws
9.9.2GodunovSchemesforK-SystemConservationLaws
9.9.3ApproximateRiemannSolvers:Theory
9.9.4ApproximateRiemannSolvers:Applications
9.10HighResolutionSchemesforLinearK-System
ConservationLaws
9.10.1Flux-LimiterSchemesforLinearK-System
ConservationLaws
9.10.2Slope-LimiterSchemesforLinearK-System
ConservationLaws
9.10.3AModifiedFluxSchemeforLinearK-System
ConservationLaws
9.10.4HighResolutionSchemesforK-System
ConservationLaws
9.11ImplicitSchemes
9.12DifferenceSchemesforTwoDimensionalConservationLaws..
9.12.1SomeComputationalExamples
9.12.2SomeTwoDimensionalHighResolutionSchemes
9.12.3TheZalesak-SmolarkiewiczScheme
9.12.4AZ-SSchemeforNonlinearConservationLaws
9.12.5TwoDimensionalK-SystemConservationLaws
10EllipticEquations
10.1Introduction
10.2SolvabilityofEllipticDifferenceEquations:Dirichlet
BoundaryConditions
10.3ConvergenceofEllipticDifferenceSchemes:Dirichlet
BoundaryConditions
10.4SolutionSchemesforEllipticDifferenceEquations:
Introduction
10.5ResidualCorrectionMethods
10.5.1AnalysisofResidualCorrectionSchemes
10.5.2JacobiRelaxationScheme
10.5.3AnalysisoftheJacobiRelaxationScheme
10.5.4StoppingCriteria
10.5.5ImplementationoftheJacobiScheme
10.5.6Gauss-SeidelScheme
10.5.7AnalysisoftheGauss-SeidelRelaxationScheme
10.5.8SuccessiveOverrelaxationScheme
10.5.9ElementaryAnalysisofSORScheme
10.5.10MoreontheSORScheme
10.5.11LineJacobi,Gauss-SeidelandSORSchemes
10.5.12Approximatingwb:Reality
10.6EllipticDifferenceEquations:Neumann
BoundaryConditions
10.6.1FirstOrderApproximation
10.6.2SecondOrderApproximation
10.6.3SecondOrderApproximationonanOffsetGrid
10.7NumericalSolutionofNeumannProblems
10.7.1Introduction
10.7.2ResidualCorrectionSchemes
10.7.3JacobiandGauss-SeidelIteration
10.7.4SORScheme
10.7.5Approximationofwb
10.7.6Implementation:NeumannProblems
10.8EllipticDifferenceEquations:MixedProblems
10.8.1Introduction
10.8.2MixedProblems:Solvability
10.8.3MixedProblems:Implementation
10.9EllipticDifferenceEquations:PolarCoordinates
10.10Multigrid
10.10.1Introduction
10.10.2Smoothers
10.10.3GridTransfers
10.10.4MultigridAlgorithm
10.11ComputationalInterludeVII
10.11.1BlockingOut:IrregularRegions
10.11.2HW0.0.4
10.12ADISchemes
10.13ConjugateGradientScheme
10.13.1PreconditionedConjugateGradientScheme
10.13.2SSORasaPreconditioner
10.13.3Implementation
10.14UsingIterativeMethodstoSolveTimeDependentProblems
10.15UsingFFTstoSolveEllipticProblems
10.16ComputationalInterludeVIII
11IrregularRegionsandGrids
11.1Introduction
11.2IrregularGeometries
11.2.1BlockingOut
11.2.9.MaptheRegion
11.2.3GridGeneration
11.3GridRefinement
11.3.1GridRefinement:ExplicitSchemesforHyperbolic
Problems
11.3.2GridRefinementforImplicitSchemes
11.4UnstructuredGrids
References
Index...

本目录推荐