A Convergence Analysis of the Peaceman--Rachford Scheme for Semilinear Evolution Equations

DOI10.1137/120890570zbMath1278.65077arXiv1512.05925OpenAlexW3101293924MaRDI QIDQ2855091

Eskil Hansen, Erik Henningsson

Publication date: 24 October 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05925

zbMATH Keywords

Hilbert spacenumerical experimentsreaction-diffusion systemsconvergence ordersemilinear evolution equationsdissipative operatorsPeaceman-Rachford schemeCaginalp's solidification modelGray-Scott pattern formation problem

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Reaction-diffusion equations (35K57) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Numerical solutions to abstract evolution equations (65J08)

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