Exponential-fitted four-step methods for

DOI10.1080/00207169808804642zbMath0894.65032OpenAlexW2042714375MaRDI QIDQ4380282

L. Gr. Ixaru, Guido Vanden Berghe, H. E. De Meyer, Marnix van Daele

Publication date: 27 April 1998

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169808804642

zbMATH Keywords

stabilitycomparison of methodsnumerical examplessecond-order initial value problemsexponential fittingmultistep methodRunge-Kutta-Nyström method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

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• Accurate high-lying eigenvalues of Schrödinger and Sturm-Liouville problems
• A modified numerov method for higher sturm-liouville eigenvalues
• Some New Four-Step Exponential-Fitting Methods for the Numerical Solution of the Radical Schrödinger Equation
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Numerical operations on oscillatory functions

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