A Special Class of Multistep Runge—Kutta Methods with Extended Real Stability Interval

DOI10.1093/imanum/2.2.183zbMath0481.65038OpenAlexW2090838735MaRDI QIDQ3939132

B. P. Sommeijer, P. J. van der Houwen

Publication date: 1982

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/2.2.183

zbMATH Keywords

Chebyshev iterationRichardson iterationimplicit linear multistep methodk-step Runge-Kutta methodsextended real stability interval

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

Euler-Chebyshev methods for integro-differential equations ⋮ The development of Runge-Kutta methods for partial differential equations ⋮ Minimal residual multistep methods for large stiff non-autonomous linear problems ⋮ Variable-Stepsize Explicit Two-Step Runge-Kutta Methods ⋮ Explicit Runge-Kutta methods for parabolic partial differential equations

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