Standard

Regularization methods of the continuation problem for the parabolic equation. / Belonosov, Andrey; Shishlenin, Maxim.

Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. ed. / Dimov; Farago; L Vulkov. Springer-Verlag GmbH and Co. KG, 2017. p. 220-226 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10187 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Belonosov, A & Shishlenin, M 2017, Regularization methods of the continuation problem for the parabolic equation. in Dimov, Farago & L Vulkov (eds), Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10187 LNCS, Springer-Verlag GmbH and Co. KG, pp. 220-226, 6th International Conference on Numerical Analysis and Its Applications, NAA 2016, Lozenetz, Bulgaria, 14.06.2016. https://doi.org/10.1007/978-3-319-57099-0_22

APA

Belonosov, A., & Shishlenin, M. (2017). Regularization methods of the continuation problem for the parabolic equation. In Dimov, Farago, & L. Vulkov (Eds.), Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers (pp. 220-226). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10187 LNCS). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-3-319-57099-0_22

Vancouver

Belonosov A, Shishlenin M. Regularization methods of the continuation problem for the parabolic equation. In Dimov, Farago, Vulkov L, editors, Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. Springer-Verlag GmbH and Co. KG. 2017. p. 220-226. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-57099-0_22

Author

Belonosov, Andrey ; Shishlenin, Maxim. / Regularization methods of the continuation problem for the parabolic equation. Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. editor / Dimov ; Farago ; L Vulkov. Springer-Verlag GmbH and Co. KG, 2017. pp. 220-226 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{ffefc4586e514476adf794545a303e9d,
title = "Regularization methods of the continuation problem for the parabolic equation",
abstract = "We investigate the one-dimensional continuation problem (the Cauchy problem) for the parabolic equation with the data on the part of the boundary. For numerical solution we apply finite-difference scheme inversion, the singular value decomposition and the gradient method of the minimizing the goal functional. The comparative analysis of numerical methods are presented.",
keywords = "Continuation problem, Numerical methods, Parabolic equation, SOLVE, SIDEWAYS HEAT-EQUATION, QUASI-REVERSIBILITY",
author = "Andrey Belonosov and Maxim Shishlenin",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-319-57099-0_22",
language = "English",
isbn = "9783319570983",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer-Verlag GmbH and Co. KG",
pages = "220--226",
editor = "Dimov and Farago and L Vulkov",
booktitle = "Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers",
address = "Germany",
note = "6th International Conference on Numerical Analysis and Its Applications, NAA 2016 ; Conference date: 14-06-2016 Through 21-06-2016",

}

RIS

TY - GEN

T1 - Regularization methods of the continuation problem for the parabolic equation

AU - Belonosov, Andrey

AU - Shishlenin, Maxim

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We investigate the one-dimensional continuation problem (the Cauchy problem) for the parabolic equation with the data on the part of the boundary. For numerical solution we apply finite-difference scheme inversion, the singular value decomposition and the gradient method of the minimizing the goal functional. The comparative analysis of numerical methods are presented.

AB - We investigate the one-dimensional continuation problem (the Cauchy problem) for the parabolic equation with the data on the part of the boundary. For numerical solution we apply finite-difference scheme inversion, the singular value decomposition and the gradient method of the minimizing the goal functional. The comparative analysis of numerical methods are presented.

KW - Continuation problem

KW - Numerical methods

KW - Parabolic equation

KW - SOLVE

KW - SIDEWAYS HEAT-EQUATION

KW - QUASI-REVERSIBILITY

UR - http://www.scopus.com/inward/record.url?scp=85018379621&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-57099-0_22

DO - 10.1007/978-3-319-57099-0_22

M3 - Conference contribution

AN - SCOPUS:85018379621

SN - 9783319570983

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 220

EP - 226

BT - Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers

A2 - Dimov, null

A2 - Farago, null

A2 - Vulkov, L

PB - Springer-Verlag GmbH and Co. KG

T2 - 6th International Conference on Numerical Analysis and Its Applications, NAA 2016

Y2 - 14 June 2016 through 21 June 2016

ER -

ID: 10262896