Exponentially-fitted methods and their stability functions

DOI10.1016/j.cam.2012.02.016zbMath1246.65113OpenAlexW2000664727MaRDI QIDQ433946

D. Hollevoet, Marnix van Daele

Publication date: 9 July 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.02.016

zbMATH Keywords

Runge-Kutta methodsexponential fittingstability functionsexponential collocation methodsintegrating factor methodsone-stage methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items

Explicit Runge-Kutta methods for stiff problems with a gap in their eigenvalue spectrum ⋮ A derivation of energy-preserving exponentially-fitted integrators for Poisson systems ⋮ On the numerical stability of the exponentially fitted methods for first order IVPs ⋮ Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods ⋮ On the choice of the frequency in trigonometrically-fitted methods for periodic problems ⋮ An eight-step semi-embedded predictor-corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown

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