Dimension splitting for time dependent operators

zbMath1189.65104MaRDI QIDQ2380914

Eskil Hansen, Alexander Ostermann

Publication date: 12 April 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceBanach spacesparabolic problemexponential splittingdimension splittingvariable time stepsLie splittingPeaceman-Rachford splittingnonautonomous linear problems

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Numerical solutions to abstract evolution equations (65J08)

Related Items (3)

Operator splitting for non-autonomous evolution equations ⋮ Error analysis of splitting methods for inhomogeneous evolution equations ⋮ Finite element methods of an operator splitting applied to population balance equations

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