Iterative operator-splitting methods for Time-irreversible Systems
Jürgen Geiser, Friedrich Krien · edoc Publication server (Humboldt University of Berlin) · 2011
In this paper, we deduce higher order error bounds for iterative operator splitting methods for time-irreversible systems of linear advection-diffusion equations. involving time-irreversible diffusion and a reversible advection part. We apply our analysis to bounded our advection operator with the diffusion operator (A-boundedness). We deduce a global error estimates which implies that any time-irreversible time-splitting methods retains its classical convergence of linear advection-diffusion equations, under some assumptions to the exact solution. Numerical results illustrate our theoretical results.