Order conditions for linearly implicit fractional step Runge Kutta methods

DOI10.1093/IMANUM/DRM004zbMath1133.65047OpenAlexW2106728303MaRDI QIDQ5436490

J. C. Jorge, B. Bujanda

Publication date: 16 January 2008

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

Full work available at URL: https://doi.org/10.1093/imanum/drm004

zbMATH Keywords

time integrationsemidiscretizationfractional step methodsRunge-Kutta methodsorder conditionslinearly implicit methodssemilinear multidimensional parabolic problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

A unified formulation of splitting-based implicit time integration schemes ⋮ A new class of second order linearly implicit fractional step methods ⋮ Stability results for linearly implicit fractional step discretizations of nonlinear time dependent parabolic problems

Uses Software

• KELLEY

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