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, 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, 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. 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. 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, 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",
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 = "United States",
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

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

Y2 - 14 June 2016 through 21 June 2016

ER -

ID: 10262896