Collocating Convolutions

DOI10.2307/2153330zbMath0828.65017OpenAlexW2914731963MaRDI QIDQ4325725

Frank Stenger

Publication date: 6 December 1995

Full work available at URL: https://doi.org/10.2307/2153330

zbMATH Keywords

Laplace transformeigenvaluesGreen's functionseigenvectorsconvolution type integralsSinc function technique

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for integral transforms (65R10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (20)

Data-sparse approximation to the operator-valued functions of elliptic operator ⋮ A numerical comparison of a Kawahara equation ⋮ Matrices of Sinc methods ⋮ Approximation of weakly singular integral equations by sinc projection methods ⋮ Reconstructing an unknown time-dependent function in the boundary conditions of a parabolic PDE ⋮ Theory and computation in singular boundary value problems ⋮ New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval ⋮ A computationally efficient method for tempered fractional differential equations with application ⋮ Fractional Fokker-Planck equation ⋮ Data-sparse approximation to a class of operator-valued functions ⋮ Sinc methods for Lévy-Schrödinger equations ⋮ Lévy-Schrödinger Equation: Their Eigenvalues and Eigenfunctions Using Sinc Methods ⋮ Indefinite Integration Operators Identities, and Their Approximations ⋮ Publications by, and About, Frank Stenger ⋮ A note on the Sinc approximationwith boundary treatment ⋮ Fractional calculus and Sinc methods ⋮ Summary of Sinc numerical methods ⋮ Numerical solutions of the Laplace's equation ⋮ Fractional adsorption diffusion ⋮ Sinc-approximations of fractional operators: a computing approach

Cites Work

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• Convolution quadrature and discretized operational calculus. I
• Convolution quadrature and discretized operational calculus. II
• A Sinc Approximation for the Indefinite Integral
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• Discretization of Volterra Integral Equations of the First Kind
• Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature
• Two Formulas for Numerical Indefinite Integration
• High Order Methods for Volterra Integral Equations of the First Kind
• The application of approximate product-integration to the numerical solution of integral equations
• What is the Laplace Transform?

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