偏微分方程的数值方法

图书标准信息

• 作者 J.W.Thomas 著
• 出版社 世界图书出版公司
• 出版时间 2005-06
• 版次 1
• ISBN 9787506232999
• 定价 65.00元
• 装帧 平装
• 开本 32开
• 纸张 胶版纸
• 页数 436页

【内容简介】

　　Mathematicsisplayinganevermoreimportantroleinthephysicalandbiologicalsciences，provokingablurringofboundariesbetweenscientificdisciplinesandaresurgenceofinterestinthemodernaswellastheclassicaltechniquesofappliedmathematics.Thisrenewalofinterest，bothinresearchandteaching，hasledtotheestablishmentoftheseries：TextsinAppliedMathe-rustics(TAM).
　　Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelofexcitementontheresearchfrontierasnewertechniques，suchasnumericalandsymboliccomputersystems，dynamicalsystems，andchaos，mixwithandreinforcethetraditionalmethodsofappliedmathematics.Thus，thepurposeofthistextbookseriesistomeetthecurrentandfutureneedsoftheseadvancesandencouragetheteachingofnewcourses.
　　此书为英文版。

【目录】

SeriesPreface
Preface
ContentsofPart2:ConservationLawsandEllipticEquations
0Prelude
1IntroductiontoFiniteDifferences
1.1Introduction
1.2GettingStarted
1.3Consistency
1.4NeumannBoundaryConditions
1.5SomeVariations
1.6DerivationofDifferenceEquations
2SomeTheoreticalConsiderations
2.1Introduction
2.2Convergence
2.3Consistencey
2.4Stability
2.5TheLaxTheorem
2.6ComputationalInterludeI
3Stability
3.1AnalysisofStability
3.2FiniteFourierSeriesandStability
3.3GerschgorinCircleTheorem
3.4ComputionalInterludeII
4ParabolicEquations
4.1Introduction
4.2TwoDimensionalParabolic
4.3Convergence,Consistency,Stability
4.4AlternationDirectionImplicitSchemes
4.5PolarCoordinates
5HyperbolicEquations
5.1Introducion
5.2Initial-ValueProblems
5.3NumericalSolutionofInitial-ValueProblems
5.4ImplicitSchemes
5.5Initial-Boundary-ValueProblems
5.6NumericalSolutionofInitial-Boundary-ValueProblems
5.7TheCourand-Friedrichs-LewyCondition
5.8TwoDimensionalHyperbolicEquations
5.9ComputationalInterludeIII
6SystemsofPartialDifferentialEquations
6.1Introduction
6.2Initial-ValueDifferenceSchemes
……
7DispersionandDissipation
References
Index