An algebraic characterization of B-convergent Runge-Kutta methods

DOI10.1007/BF01405197zbMath0686.65055MaRDI QIDQ1262715

Josef Schneid, Willem H. Hundsdorfer

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133422

zbMATH Keywords

stiff systemsRunge-Kutta methodstest problemsB-stabilityalgebraic stabilityB-convergenceglobal discretization errorsmeasure of dissipationstiffness-independent bounds

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)

Related Items

A necessary condition for B-convergence of Runge-Kutta methods, On the unique solvability of the Runge-Kutta equations, Vienna contributions to the development of RK-methods

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