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Stability and Convergence of Product Formulas for Operator Matrices

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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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Authors and Affiliations

  1. Institute of Mathematics, Loránd Eötvös University, Pázmány Péter Sétány 1C, 1117, Budapest, Hungary

    András Bátkai & Bálint Farkas

  2. Institut für Mathematik, Universität Innsbruck, Technikerstraße 13, 6020, Innsbruck, Austria

    Petra Csomós

  3. Department of Pure and Applied Mathematics, University of L’Aquila, via Vetoio 1, 67010, L’Aquila, Italy

    Klaus-Jochen Engel

  4. Numerical Analysis and Large Networks Research Group, Hungarian Academy of Sciences, Pázmány Péter Sétány 1C, 1117, Budapest, Hungary

    András Bátkai & Bálint Farkas

Authors
  1. András Bátkai
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  2. Petra Csomós
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  3. Klaus-Jochen Engel
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  4. Bálint Farkas
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Correspondence to András Bátkai.

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Bátkai, A., Csomós, P., Engel, KJ. et al. Stability and Convergence of Product Formulas for Operator Matrices. Integr. Equ. Oper. Theory 74, 281–299 (2012). https://doi.org/10.1007/s00020-012-1994-4

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  • DOI: https://doi.org/10.1007/s00020-012-1994-4

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