Stability and B-convergence of linearly implicit Runge-Kutta methods

DOI10.1007/BF01389669zbMath0611.65045MaRDI QIDQ1087316

Willem H. Hundsdorfer

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/133140

zbMATH Keywords

Rosenbrock methodsstiff differential equationsimplicit Runge-Kutta methodsglobal errorlinearly implicit methodsW-methodsB-convergence

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

B-convergence results for linearly implicit one step methods, \(W\)-methods for semilinear parabolic equations, A study of B-convergence of linearly implicit Runge-Kutta methods, Error of Rosenbrock methods for stiff problems studied via differential algebraic equations, B-convergence: A survey, Algebraic Structure of the Weak Stage Order Conditions for Runge–Kutta Methods, Nonlinear stability and D-convergence of additive Runge-Kutta methods for multidelay-integro-differential equations, Some stability and convergence of additive Runge-Kutta methods for delay differential equations with many delays, A method for constructing generalized Runge-Kutta methods, Some secant approximations for Rosenbrock \(W\)-methods, D-convergence and GDN-stability of Runge-Kutta methods for a class of delay systems, A note on contractivity in the numerical solution of initial value problems, A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation, Qualitative analysis of differential, difference equations, and dynamic equations on time scales

Cites Work

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