Operator splittings and spatial approximations for evolution equations

Details Operator splittings and spatial approximations for evolution equations Operator splittings and spatial approximations for evolution equations

2008-10-09

arxiv.org/abs/0810.1694v2

Mathematics

Functional Analysis

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

Scientific paper

10.1007/s00028-009-0026-6

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.

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