Extended a-stable two-step methods for the numerical solution of ordinary differential equations

DOI10.1080/00207169208804055zbMath0747.65060OpenAlexW2078598034MaRDI QIDQ3989760

D. M. Kondrat, D. I. B. Jacques

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1080/00207169208804055

zbMATH Keywords

convergencefinite difference methodsinitial-value problem\(A\)-stabilitytest problemstwo-step methodsfourth-order convergence\(A\)-stable methods

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)

Related Items (6)

New L-stable method for numerical solutions of ordinary differential equations ⋮ A class of stabilized extended one-step methods for the numerical solution of ODEs ⋮ Numerical methods based on extended one-step methods for solving optimal control problems ⋮ Extended double-stride \(L\)-stable methods for the numerical solution of ODEs ⋮ An L-stable extended two-step method for the integration of ordinary differential equations ⋮ Optimal extended one-step schemes of exponential type for stiff initial-value problems

Cites Work

• A modified version of Urabe's implicit single-step method
• An \(A\)-stable extended trapezoidal rule for the integration of ordinary differential equations
• Extended one-step methods for the numerical solution of ordinary differential equations
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations

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