partial differential equations with numerical methods (larsson and thomee, 2009)

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1、TextsinAppliedMathematics45EditorsJ.E.MarsdenL.SirovichS.S.AntmanAdvisorsG.IoossP.HolmesD.BarkleyM.DellnitzP.NewtonTextsinAppliedMathematics1.Sirovich:IntroductiontoAppliedMathematics.2.Wiggins:IntroductiontoAppliedNonlinearDynamicalSystemsandChaos.3.Hale

2、/Koçak:DynamicsandBifurcations.4.Chorin/Marsden:AMathematicalIntroductiontoFluidMechanics,ThirdEdition.5.Hubbard/West:DifferentialEquations:ADynamicalSystemsApproach:OrdinaryDifferentialEquations.6.Sontag:MathematicalControlTheory:DeterministicFiniteDimen

3、sionalSystems,SecondEdition.7.Perko:DifferentialEquationsandDynamicalSystems,ThirdEdition.8.Seaborn:HypergeometricFunctionsandTheirApplications.9.Pipkin:ACourseonIntegralEquations.10.Hoppensteadt/Peskin:ModelingandSimulationinMedicineandtheLifeSciences,Se

4、condEdition.11.Braun:DifferentialEquationsandTheirApplications,FourthEdition.12.Stoer/Bulirsch:IntroductiontoNumericalAnalysis,ThirdEdition.13.Renardy/Rogers:AnIntroductiontoPartialDifferentialEquations.14.Banks:GrowthandDiffusionPhenomena:MathematicalFra

5、meworksandApplications.15.Brenner/Scott:TheMathematicalTheoryofFiniteElementMethods,SecondEdition.16.VandeVelde:ConcurrentScientificComputing.17.Marsden/Ratiu:IntroductiontoMechanicsandSymmetry,SecondEdition.18.Hubbard/West:DifferentialEquations:ADynamical

6、SystemsApproach:Higher-DimensionalSystems.19.Kaplan/Glass:UnderstandingNonlinearDynamics.20.Holmes:IntroductiontoPerturbationMethods.21.Curtain/Zwart:AnIntroductiontoInfinite-DimensionalLinearSystemsTheory.22.Thomas:NumericalPartialDifferentialEquations:Fi

7、niteDifferenceMethods.23.Taylor:PartialDifferentialEquations:BasicTheory.24.Merkin:IntroductiontotheTheoryofStability.25.Naber:Topology,Geometry,andGaugeFields:Foundations.26.Polderman/Willems:IntroductiontoMathematicalSystemsTheory:ABehavioralApproach.27

8、.Reddy:IntroductoryFunctionalAnalysis:withApplicationstoBoundaryValueProblemsandFiniteElements.28.Gustafson/Wilcox:AnalyticalandComputationalMethodsofAdvancedEngineeringMathematics.29.Tveito/Winther:IntroductiontoPa