Fractional step Runge-Kutta methods for time dependent coefficient parabolic problems

DOI10.1016/S0168-9274(02)00191-5zbMath1028.65059OpenAlexW2056948330MaRDI QIDQ1874210

B. Bujanda, J. C. Jorge

Publication date: 22 May 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00191-5

zbMATH Keywords

stabilityconvergencenumerical resultsconsistencyHilbert spacemaximal operatorfractional step methodsRunge-Kutta methodsdirection algorithmPeaceman-Rachford alternating

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with nonlinear operators (65J15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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