Coefficients for studying one-step rational schemes for IVPs in ODEs. I

DOI10.1016/S0898-1221(00)00319-9zbMath0989.65071OpenAlexW1982506038WikidataQ127830931 ScholiaQ127830931MaRDI QIDQ5948752

M. N. O. Ikhile

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00319-9

zbMATH Keywords

numerical experimentsorderone-step methodinterpolantrational integratorsstability stepsize control

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Rational methods for solving first-order initial value problems ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs: II ⋮ A general class of second-order \(L\)-stable explicit numerical methods for stiff problems ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs. III: Extrapolation methods ⋮ The root and Bell's disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. I: Correction methods

Uses Software

• DIFSUB

Cites Work

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