Stability and Convergence of Product Formulas for Operator Matrices
arXiv:1207.11183 citationsh-index: 20
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Provides theoretical guarantees for numerical methods in operator theory, relevant for researchers in functional analysis and control theory.
The paper provides conditions for stability and convergence of product formulas (Trotter, Strang, weighted) for operator matrices, applied to inhomogeneous Cauchy problems and boundary feedback systems.
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.