Runge-Kutta methods for the numerical solution of stiff semilinear systems

DOI10.1023/A:1022332200092zbMath0980.65069OpenAlexW8805256MaRDI QIDQ1592688

S. González-Pinto, Manuel Calvo, Juan I. Montijano

Publication date: 25 February 2002

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022332200092

zbMATH Keywords

stabilityconvergenceerror boundsRunge-Kutta methodsstiff semilinear systems

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (7)

Solving semi-linear stiff neutral equations by implicit–explicit Runge-Kutta methods ⋮ An iterated Radau method for time-dependent PDEs ⋮ An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. II: Convergence results ⋮ A variable time-step-size code for advection-diffusion-reaction PDEs ⋮ Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems ⋮ Stability results for linearly implicit fractional step discretizations of nonlinear time dependent parabolic problems ⋮ Asymptotical stability of numerical methods for semi-linear impulsive differential equations

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