An explicit two-step method exact for the scalar test equation \(y'= \lambda y\)

DOI10.1016/S0898-1221(00)00058-4zbMath0951.65065MaRDI QIDQ1570170

Xin-Yuan Wu, Jian-Lin Xia

Publication date: 6 December 2000

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

zbMATH Keywords

numerical examplesA-stabilityL-stabilityexponential fittingstiff systemtest equationtwo-step method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (8)

A two-step explicit \(P\)-stable method of high phase-lag order for linear periodic IVPs ⋮ A two-step explicit \(P\)-stable method for solving second order initial value problems. ⋮ A class of Runge-Kutta formulae of order three and four with reduced evaluations of function ⋮ A two-step explicit \(P\)-stable method of high phase-lag order for second order IVPs. ⋮ A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems ⋮ A class of two-step explicit methods for periodic IVPs ⋮ Study of general Taylor-like explicit methods in solving stiff ordinary differential equations ⋮ Optimization as a function of the phase-lag order of nonlinear explicit two-step \(P\)-stable method for linear periodic IVPs

Cites Work

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• Numerical Solution of Ordinary Differential Equations: Is There Anything Left to Do?
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
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