Operator Splittings and Spatial Approximations for Evolution Equations
نویسندگان
چکیده
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 the relevant notions and results of numerical analysis are presented, a variant of Chernoff’s product formula is proved and the general TrotterKato approximation theorem is used. The methods are applied to an abstract partial delay differential equation.
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