Scientific Computing An introduction using Maple and MATLAB Walter Gander, Martin J. Gander, Felix Kwok Published by Springer Verlag
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Select: Home Summary Content Programs Authors	:: Programs from the book to download Chapter 1. Why Study Scientific Computing? Chapter 2. Finite Precision Arithmetic Matlab: Exp.m ExpUnstable.m KahanSummation.m Pinaive.m Pistabil.m Sqrt.m Varianz.m VarianzStabil.m Chapter 3. Linear Systems of Equations Matlab: BackSubstitution.m BackSubstitutionSAXPY.m Cholesky.m Cramer.m DetLaplace.m EliminationBandMatrix.m EliminationGivens.m Elimination.m Growfactor.m LUbyRank1.m StoreBandMatrix.m ThomasGivens.m Thomas.m Chapter 4. Interpolation Matlab: AitkenExtrapolation.m AitkenInterpolation.m BarycentricCoefficients.m BarycentricInterpolation.m LagrangeInterpolation.m myIFFT.m NewtonCoefficients.m NewtonInterpolation.m OrthogonalInterpolation.m OrthogonalPolynomialCoefficients.m SplineInterpolation.m SplineFunction.txt SplineScheme.txt Chapter 5. Nonlinear Equations Matlab: BaseB2Decimal.m Bisection.m Chaos.m Decimal2BaseB.m EpsilonAlgorithmLowStorage.m EpsilonAlgorithm.m Horner.m NewtonCorrection.m Newton.m NewtonMaehly.m NewtonRoots.m NewtonTaylorRoots.m Nickel.m NumericalJacobian.m PlotEllipse.m Taylor.m Chapter 6. Least Squares Problems Matlab: AddColumnQR.m AddRowQR.m AlgebraicEllipseFit.m ClassicalGramSchmidt.m ConstrainedLSQ.m ConstrainedTLS.m CovarianceBjoerck.m Covariance.m DirectSum.m DrawEllipse.m FastGivens.m GivensQR.m GivensQTy.m GivensQy.m GramSchmidt.m HouseholderQR.m HouseholderQTy.m HouseholderQy.m HouseholderQyTest.m HyperPlaneFit.m LinearlyConstrainedLSQ.m ModifiedGramSchmidt2.m ModifiedGramSchmidt.m ModifiedGramSchmidtTwice.m NewtonLSQ.m NullSpaceMethod.m Partition.m PlotFunctions.m PlotLine.m PlotPoints.m ProcrustesFit.m RemoveColumnQR.m RemoveRowQR.m TLS.m UpdateQR.m Maple: chem.txt hilbert.txt Chapter 7. Eigenvalue Problems Matlab: Bidiagonalize.m DifferentialQDStepShifted.m DirectSum.m GeneralizedGivensRotation.m GivensRotation.m Hessenberg1.m Hessenberg.m ImplicitQR.m Jacobi1.m Jacobi2.m Jacobi.m OrthogonalLRStepShifted.m OrthogonalQDStepShifted.m ProgressiveQDStepShifted.m QDLine.m QDLineSymmetric.m QRStep.m SVDGolubReinsch.m Swing.m testdqd.m Tridiagonalize.m Maple: Trafodqds.txt Transformations.txt Chapter 8. Differentiation Matlab: BilliardFunction.m DeriveDeterminant.m Determinant.m Lambert.m LambertN.m LambertNP.m LambertW2.m LambertW2P.m LambertW.m Maple: Brachystochrone.txt FiniteDifferenceFormula.txt f.txt secondderivatives.txt Chapter 9. Quadrature Matlab: GaussByGolubWelschBruteForce.m GaussByGolubWelsch.m GaussByNewtonMaehly.m GivensRotation.m LobattoAdaptive.m Romberg.m SimpsonAdaptive.m SimpsonsRule.m TrapezoidalRule.m Maple: ClosedNewtonCotesRule.txt Gauss.txt Lanczos.txt MidpointOpenNewtonCotesRule.txt OpenNewtonCotesRule.txt Chapter 10. Numerical Ordinary Differential Equations Matlab: Arenstorf.m DEQseries.m Dog.m ForwardEuler.m Heun.m HeunNegative.m ode12.m RK4.m Runge.m TaylorMethod.m Maple: AdamsBashforth.txt AdamsMoulton.txt BDF.txt DelayExample.txt ExplicitLMM2.txt ExplicitLMM.txt ImplicitLMM.txt ImplicitRK.txt OrderConditionsRK.txt RK2.txt RK.txt Chapter 11. Iterative Methods for Linear Systems Matlab: Rho.m Arnoldi.m BiCGequivBiORES.m BiCG.m BiORES.m CG.m FOM.m Lanczos.m MPE.m NonSymmetricLanczos.m PCG.m Saad.m TEA1.m TEAequivTEA1.m TEA.m Maple: Jordanblock.txt Chapter 12. Optimization Matlab: AdmissibleBasis.m BruteForcePartition.m GenerateProblem.m Minimize.m NelderMead.m Newton.m Simplex.m SpectralPartition.m SteepestDescent.m TrustRegionLinear.m TrustRegionQuadratic.m
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