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Funktsional'nyi Analiz i ego Prilozheniya, 1993, Volume 27, Issue 3, Pages 84–86 (Mi faa717)  

This article is cited in 25 scientific papers (total in 25 papers)

Brief communications

Error Bounds for Trotter-Type Formulas for Self-Adjoint Operators

D. L. Rogava

Tbilisi Ivane Javakhishvili State University, Ilia Vekua Institute of Applied Mathematics
References:
Received: 15.11.1989
Revised: 14.11.1991
English version:
Functional Analysis and Its Applications, 1993, Volume 27, Issue 3, Pages 217–219
DOI: https://doi.org/10.1007/BF01087542
Bibliographic databases:
Document Type: Article
UDC: 517.983.246
Language: Russian
Citation: D. L. Rogava, “Error Bounds for Trotter-Type Formulas for Self-Adjoint Operators”, Funktsional. Anal. i Prilozhen., 27:3 (1993), 84–86; Funct. Anal. Appl., 27:3 (1993), 217–219
Citation in format AMSBIB
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\by D.~L.~Rogava
\paper Error Bounds for Trotter-Type Formulas for Self-Adjoint Operators
\jour Funktsional. Anal. i Prilozhen.
\yr 1993
\vol 27
\issue 3
\pages 84--86
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\zmath{https://zbmath.org/?q=an:0814.47050}
\transl
\jour Funct. Anal. Appl.
\yr 1993
\vol 27
\issue 3
\pages 217--219
\crossref{https://doi.org/10.1007/BF01087542}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MN15000011}
Linking options:
  • https://www.mathnet.ru/eng/faa717
  • https://www.mathnet.ru/eng/faa/v27/i3/p84
  • This publication is cited in the following 25 articles:
    1. Tim Möbus, “On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications”, Quantum, 8 (2024), 1424  crossref
    2. Valentin A. Zagrebnov, Hagen Neidhardt, Takashi Ichinose, Operator Theory: Advances and Applications, 296, Trotter-Kato Product Formulæ, 2024, 451  crossref
    3. Daniel Burgarth, Paolo Facchi, Alexander Hahn, Mattias Johnsson, Kazuya Yuasa, “Strong error bounds for Trotter and strang-splittings and their implications for quantum chemistry”, Phys. Rev. Research, 6:4 (2024)  crossref
    4. Izv. Math., 87:5 (2023), 947–971  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. D. L. Rogava, “Approximation of Operator Semigroups Using Linear-Fractional Operator Functions and Weighted Averages”, Funct. Anal. Appl., 56:2 (2022), 116–129  mathnet  crossref  crossref
    6. Csomos P., Sikolya E., “Numerical Analysis View on the General Trotter-Kato Product Formulae”, Acta Sci. Math., 87:1-2 (2021), 307–329  crossref  isi
    7. Hagen Neidhardt, Artur Stephan, Valentin A. Zagrebnov, Springer Optimization and Its Applications, 135, Current Research in Nonlinear Analysis, 2018, 229  crossref
    8. Takashi Ichinose, Hideo Tamura, Modern Analysis and Applications, 2009, 315  crossref
    9. Vladimir Georgescu, “On the spectral analysis of quantum field Hamiltonians”, Journal of Functional Analysis, 245:1 (2007), 89  crossref
    10. Takashi Ichinose, Hideo Tamura, “Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian”, Journal fur die reine und angewandte Mathematik (Crelles Journal), 2006:592 (2006)  crossref
    11. Abdelkader Intissar, “Approximation of the semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann space”, Journal of Mathematical Analysis and Applications, 305:2 (2005), 669  crossref
    12. Takashi Ichinose, Hideo Tamura, “Sharp Error Bound on Norm Convergence of Exponential Product Formula and Approximation to Kernels of Schrödinger Semigroups”, Communications in Partial Differential Equations, 29:11-12 (2005), 1905  crossref
    13. Takashi Ichinose, Hagen Neidhardt, Valentin A. Zagrebnov, “Trotter–Kato product formula and fractional powers of self-adjoint generators”, Journal of Functional Analysis, 207:1 (2004), 33  crossref
    14. Zurab Gegechkori, Jemal Rogava, Mikheil Tsiklauri, “High degree precision decomposition method for the evolution problem with an operator under a split form”, ESAIM: M2AN, 36:4 (2002), 693  crossref
    15. Takashi Ichinose, Hideo Tamura, “On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound”, Proc. Math. Sci., 112:1 (2002), 99  crossref
    16. Vincent Cachia, Hagen Neidhardt, Valentin A. Zagrebnov, “Accretive perturbations and error estimates for the Trotter product formula”, Integr equ oper theory, 39:4 (2001), 396  crossref
    17. Vincent Cachia, Valentin A. Zagrebnov, “Operator-Norm Approximation of Semigroups by Quasi-sectorial Contractions”, Journal of Functional Analysis, 180:1 (2001), 176  crossref
    18. Studies in Mathematics and Its Applications, 30, Operator Theory and Numerical Methods, 2001, 275  crossref
    19. Takashi Ichinose, Hideo Tamura, Partial Differential Equations and Spectral Theory, 2001, 149  crossref
    20. H. Neidhardt, V. A. Zagrebnov, Mathematical Results in Quantum Mechanics, 1999, 323  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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