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arXiv · 1207.1118

Stability and Convergence of Product Formulas for Operator Matrices

András Bátkai·Petra Csomós·Klaus-Jochen Engel·Bálint Farkas
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Abstract

We present easy to verify conditions implying stability estimates for operator matrix splittings which ensure convergence of the associated Trotter, Strang and weighted product formulas. The results are applied to inhomogeneous abstract Cauchy problems and to boundary feedback systems.

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András Bátkai, Petra Csomós, Klaus-Jochen Engel, Bálint Farkas. 2012-07-04. Stability and Convergence of Product Formulas for Operator Matrices. https://doi.org/10.1007/s00020-012-1994-4

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