B-Convergence Properties of Multistep Runge-Kutta Methods

DOI10.2307/2153523zbMath0799.65082OpenAlexW2009724929MaRDI QIDQ4292049

Shou-fu Li

Publication date: 1 June 1994

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2153523

zbMATH Keywords

numerical examplelinear methodsalgebraic stability\(B\)-convergencemultistep Runge- Kutta 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 (8)

Nonlinear stability and convergence of two-step Runge-Kutta methods for Volterra delay integro-differential equations ⋮ B-convergence of general linear methods for stiff problems. ⋮ Extending convergence of BDF methods for a class of nonlinear strongly stiff problems ⋮ Equilibrium attractive properties of a class of multistep Runge-Kutta methods ⋮ Convergence of linear multistep methods for two-parameter singular perturbation problems ⋮ \(D\)-convergence of general linear methods for stiff delay differential equations ⋮ The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations ⋮ Stability and $B$-convergence properties of multistep Runge-Kutta methods

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