Extended one-step methods for the numerical solution of ordinary differential equations

DOI10.1080/00207168908803763zbMath0726.65074OpenAlexW2018003366MaRDI QIDQ3350689

I. B. Jacques

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00207168908803763

zbMATH Keywords

convergencenumerical results\(A\)-stabilityfirst-order differential equationstest problems\(L\)-stability\(A\)-stable methodsone-step finite difference formulae

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) Finite difference and finite volume methods for ordinary differential equations (65L12) Multiple scale methods for ordinary differential equations (34E13)

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Cites Work

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• An \(A\)-stable extended trapezoidal rule for the integration of ordinary differential equations
• On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• A special stability problem for linear multistep methods