Skip to main content
SpringerLink
Log in

Speed of Convergence of Chernoff Approximations to Solutions of Evolution Equations

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations (Springer, New York, 2000).

    MATH  Google Scholar 

  2. V. I. Bogachev and O. G. Smolyanov, Real and Functional Analysis (Regular and Chaotic Dynamics, Izhevsk, 2011) [in Russian].

    MATH  Google Scholar 

  3. I. D. Remizov, J. Funct. Anal. 270 (12), 4540 (2016).

    Article  MathSciNet  Google Scholar 

  4. P. R. Chernoff, J. Funct. Anal. 2 (2), 238 (1968).

    Article  Google Scholar 

  5. Yu. N. Orlov, V. Zh. Sakbaev, and O. G. Smolyanov, Theor. Math. Phys. 172 (1), 987 (2012).

    Article  Google Scholar 

  6. V. Zagrebnov, Notes on the Chernoff Product Formula, arXiv: 1911.09480 (2019).

    MATH  Google Scholar 

  7. A. Gomilko, S. Kosowicz, and Yu. Tomilov, A General Approach to Approximation Theory of Operator Semigroups, arXiv: 1801.06749 (2018).

    MATH  Google Scholar 

  8. I. D. Remizov, in International Conference “Shilnikov Workshop-2018”, Abstracts (Nizhny Novgorod University, Nizhny Novgorod, 2018), p. 38 [in Russian].

    Google Scholar 

  9. I. D. Remizov, Appl. Math. Comput. 328, 243 (2018).

    MathSciNet  Google Scholar 

  10. A. V. Vedenin, Fast Converging Chernoff Approximations to Solution of Parabolic Differential Equation on Real Line, Diploma thesis (NRU HSE, Nizhnii Novgorod, 2019) [in Russian].

  11. I. D. Remizov, Dokl. Math. 96 (2), 433 (2017).

    Article  MathSciNet  Google Scholar 

  12. I. D. Remizov and M. F. Starodubtseva, Math. Notes 104 (5), 767 (2018).

    Article  MathSciNet  Google Scholar 

  13. A. A. Loboda, Math. Notes 106 (2), 303 (2019).

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

I. D. Remizov is grateful to Professor O. G. Smolyanov for moral support during this research, to D. V. Turaev for fruitful discussions, and to O. E. Galkin and P. S. Prudnikov for comments on the paper.

Funding

The research was supported in part by Laboratory of Dynamical Systems and Applications, National Research University Higher School of Economics, and by the Ministry of Science and Higher Education of the Russian Federation (grant no. 075-15-2019-1931).

Author information

Authors and Affiliations

  1. National Research University Higher School of Economics in Nizhny Novgorod, 603155, Nizhnii Novgorod, Russia

    A. V. Vedenin, V. S. Voevodkin, V. D. Galkin, E. Yu. Karatetskaya & I. D. Remizov

Authors
  1. A. V. Vedenin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. S. Voevodkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. D. Galkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. E. Yu. Karatetskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. I. D. Remizov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vedenin, A.V., Voevodkin, V.S., Galkin, V.D. et al. Speed of Convergence of Chernoff Approximations to Solutions of Evolution Equations. Math Notes 108, 451–456 (2020). https://doi.org/10.1134/S0001434620090151

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434620090151

Keywords

Search

Navigation