Uppsala University Department of Information Technology

Technical Report 2014-004

Stiff Convergence of Force-Gradient Operator Splitting Methods

Emil Kieri

February 2014

We consider force-gradient, also called modified potential, operator splitting methods for problems with unbounded operators. We prove that force-gradient operator splitting schemes retain their classical orders of accuracy for time-dependent partial differential equations of parabolic or Schrödinger type, provided that the solution is sufficiently regular.

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Uppsala Universitet