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A sixth-order \(A\)-stable explicit one-step method for stiff systems. (English) Zbl 0999.65066

Summary: This paper presents a sixth-order, explicit, one-step method which is proved to be \(A\)-stable. The numerical experiments demonstrate that the new method is suitable for stiff systems.

MSC:

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

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References:

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