HardCover. Pub Date: 2011 Jun Pages: 238 Language: English Publisher: Science Press includes differential equations Introduction: The initial value problem for the two-point boundary value problems. diffusion problems. advection equation. Elliptic Problems and so on. Contents: Preface1 Initial Value Problems1.1 Introduction1.1.1 Examples of IVPs1.2 Methods Obtained from Numerical Differentiation .1.2.1 The Five Steps1.2.2 Additional Difference Methods1.3 Methods Obtained from Numerical Quadra.

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Bibliographic Details

Title: Introduction to numerical methods of differential equations(Chinese Edition)
ISBN 10: 7030313879
ISBN 13: 9787030313874
Binding: Hardcover
Condition: New

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Thisbookshowshowtoderive，testandanalyzenumericalmethodsforsolvingdifferentialequations，includingbothordinaryandpartialdifferentialequations.Theobjectiveisthatstudentslearntosolvedifferentialequationsnumericallyandunderstandthemathematicalandcomputationalissuesthatarisewhenthisisdone.Includesanextensivecollectionofexercises，whichdevelopboththeanalyticalandcomputationalaspectsofthematerial.Inadditiontomorethan100illustrations，thebookincludesalargecollectionofsupplementalmaterial：exercisesets，MATLABcomputercodesforbothstudentandinstructor，lectureslidesandmovies.Preface1InitialValueProblems1．1Introduction1．1．1ExamplesofIVPs1．2MethodsObtainedfromNumericalDifferentiation．1．2．1TheFiveSteps1．2．2AdditionalDifferenceMethods1．3MethodsObtainedfromNumericalQuadrature1．4Runge——KuttaMethods1．5ExtensionsandGhostPoints1．6ConservativeMethods1．6．1VelocityVerlet1．6．2SymplecticMethods1．7NextStepsExercises2Two-PointBoundaryValueProblems2．1Introduction2．1．1BirdsonaWire2．1．2ChemicalKinetics2．2DerivativeApproximationMethods2．2．1MatrixProblem2．2．2TridiagonalMatrices2．2．3MatrixProblemRevisited2．2．4ErrorAnalysis2．2．5Extensions2．3ResidualMethods2．3．1BasisFunctions2．3．2Residual2．4ShootingMethods2．5NextStepsExercises3DiffusionProblems3．1Introduction3．1．1HeatEquation3．2DerivativeApproximationMethods3．2．1ImplicitMethod3．2．2ThetaMethod3．3Method

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