抛物问题的伽辽金有限元方法（第2版）（英文版）

图书标准信息

• 作者 [瑞典]托姆 著
• 出版社 世界图书出版公司
• 出版时间 2013-03
• 版次 2
• ISBN 9787510058370
• 定价 65.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 370页
• 正文语种 英语

【内容简介】

　　Mypurposeinthismonographistopresentanessentiallyself-containedaccountofthemathematicaltheoryofGalerkinfiniteelementmethodsasappliedtoparabolicpartialdifferentialequations.Theemphasesandselectionoftopicsreflectsmyowninvolvementinthefieldoverthepast25years，andmyambitionhasbeentostressideasandmethodsofanalysisratherthantodescribethemostgeneralandfarreachingresultspossible.SincetheformulationandanalysisofGalerkinfiniteelementmethodsforparabolicproblemsaregenerallybasedonideasandresultsfromthecorrespondingtheoryforstationaryellipticproblems，suchmaterialisoftenincludedinthepresentation.

【目录】

Preface
PrefacetotheSecondEdition
1.TheStandardGalerkinMethod
2.MethodsBasedonMoreGeneralApproximationsoftheEllipticProblem
3.NonsmoothDataErrorEstimates
4.MoreGeneralParabolicEquations
5.NegativeNormEstimatesandSuperconvergence
6.Maximum-NormEstimatesandAnalyticSemigroups
7.SingleStepFullyDiscreteSchemesfortheHomogeneousEquation
8.SingleStepFullyDiscreteSchemesfortheInhomogeneousEquation
9.SingleStepMethodsandRationalApproximationsofSemigroups
10.MultistepBackwardDifferenceMethods
11.IncompleteIterativeSolutionoftheAlgebraicSystemsattheTimeLevels
12.TheDiscontinuousGalerkinTimeSteppingMethod
13.ANonlinearProblem
14.SemilinearParabolicEquations
15.TheMethodofLumpedMasses
16.TheHlandH-1Methods
17.AMixedMethod
18.ASingularProblem,
19.ProblemsinPolygonalDomains
20.TimeDiscretizationbyLaplaceTransformationandQuadrature
References
Index