Splitting schemes

Eskil Hansen
Centre for Mathematical Sciences
Lund University


Splitting schemes constitute an effective class of time integrators and are widely used for both ODEs and PDEs. The general error analysis of such methods have often been conducted in a fairly classical ODE setting, including Taylor expansions and nonstiff order conditions, which is not directly applicable in a PDE context. In this talk we will survey our recent work, including the derivation of high order schemes and a convergence analysis for splitting methods applied to a large class of semilinear evolution equations, including Caginalp's phase field model and the Gray-Scott pattern formation problem.