paper

Operator splittings and spatial approximations for evolution equations

arXiv:0810.1694 · doi:10.1007/s00028-009-0026-6

Abstract

The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end a variant of Chernoff's product formula is proved. The methods are applied to abstract partial delay differential equations.

to appear in J. Evol. Equations. Reviewers comments are incorporated

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