The order of B-convergence of the Gaussian Runge-Kutta method

DOI10.1007/BF02238190zbMath0565.65040OpenAlexW1538985MaRDI QIDQ1058823

J. F. B. M. Kraaijevanger, Marc N. Spijker, Kees Dekker

Publication date: 1986

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238190

zbMATH Keywords

m-stage Gaussian Runge-Kutta methodorder of B-convergence

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

B-convergence results for linearly implicit one step methods ⋮ Implicit runge-kutta methods for differential inclusions ⋮ The dichotomy of stiffness: Pragmatism versus theory ⋮ B-convergence: A survey ⋮ Stability and B-convergence of general linear methods ⋮ An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. II: Convergence results ⋮ Gauss-Runge-Kutta time discretization of wave equations on evolving surfaces ⋮ A study of B-convergence of Runge-Kutta methods

Cites Work

• A study of B-convergence of Runge-Kutta methods
• B-convergence of the implicit midpoint rule and the trapezoidal rule
• Sur la B-stabilité des méthodes de Runge-Kutta
• Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems
• Stability Criteria for Implicit Runge–Kutta Methods
• Stability of Collocation at Gaussian Points
• Unnamed Item

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