偏微分方程的数值方法
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八五品
仅1件
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
装帧平装
上书时间2024-07-24
商品详情
- 品相描述:八五品
图书标准信息
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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
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ISBN
9787506232999
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定价
65.00元
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装帧
平装
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开本
32开
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纸张
胶版纸
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页数
436页
- 【内容简介】
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Mathematicsisplayinganevermoreimportantroleinthephysicalandbiologicalsciences,provokingablurringofboundariesbetweenscientificdisciplinesandaresurgenceofinterestinthemodernaswellastheclassicaltechniquesofappliedmathematics.Thisrenewalofinterest,bothinresearchandteaching,hasledtotheestablishmentoftheseries:TextsinAppliedMathe-rustics(TAM).
Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelofexcitementontheresearchfrontierasnewertechniques,suchasnumericalandsymboliccomputersystems,dynamicalsystems,andchaos,mixwithandreinforcethetraditionalmethodsofappliedmathematics.Thus,thepurposeofthistextbookseriesistomeetthecurrentandfutureneedsoftheseadvancesandencouragetheteachingofnewcourses.
此书为英文版。
- 【目录】
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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
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