Exponentially-fitted algorithms: fixed or frequency dependent knot points?

DOI10.1002/anac.200310005zbMath1070.65020OpenAlexW1978016930MaRDI QIDQ4653739

Guido Vanden Berghe, Marnix van Daele, Hans Van de Vyver

Publication date: 7 March 2005

Published in: Applied Numerical Analysis & Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/anac.200310005

zbMATH Keywords

algorithmsnumerical examplesexponential functionsRunge-Kutta methodscollocationoscillatory functionsexponential fittingquadrature rulesGauss formulae

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical quadrature and cubature formulas (65D32)

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