Operator splittings and spatial approximations for evolution equations
classification
🧮 math.FA
cs.NAmath.NA
keywords
equationsoperatorspatialsplittingabstractappliedapproximationapproximations
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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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