Fast and stable contour integration for high order divided differences via elliptic functions

DOI10.1090/S0025-5718-2014-02890-1zbMath1311.65028OpenAlexW1965541976MaRDI QIDQ5179224

Maria Lopez-Fernandez, Stefan A. Sauter

Publication date: 19 March 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2014-02890-1

zbMATH Keywords

Jacobi elliptic functionsdivided differencestrapezoidal ruleconvolution quadraturenumerical approximation of contour integrals

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Elliptic functions and integrals (33E05)

Related Items (6)

Generalized convolution quadrature based on Runge-Kutta methods ⋮ Convolution quadrature for the wave equation with impedance boundary conditions ⋮ Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems ⋮ Periodic solutions and homoclinic solutions for a Swift-Hohenberg equation with dispersion ⋮ On the numerical stability of Newton's formula for Lagrange interpolation ⋮ Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• mctoolbox

Cites Work

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• Algorithm 843

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