Contractivity results for alternating direction schemes in Hilbert spaces

DOI10.1016/0168-9274(94)00009-3zbMath0810.65051OpenAlexW2007012886MaRDI QIDQ1334841

J. C. Jorge, Francisco Javier Lisbona

Publication date: 9 April 1995

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

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00009-3

zbMATH Keywords

convergencenumerical examplesHilbert spaceinitial value problems\(A\)-stabilityparabolic differential equationsalternating direction methodslinear maximal monotone operator

Mathematics Subject Classification ID

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) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Fractional step Runge-Kutta methods for time dependent coefficient parabolic problems, Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions, Stability of ADI schemes applied to convection--diffusion equations with mixed derivative terms, Stability results for fractional step discretizations of time dependent coefficient evolutionary problems, Stability of operator splitting methods for systems with indefinite operators: Reaction-diffusion systems, A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems, Linearly implicit splitting methods for higher space-dimensional parabolic differential equations, Additive Runge-Kutta methods for the resolution of linear parabolic problems, On the contractivity of implicit-explicit linear multistep methods

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