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Numerical algorithm for solving the inverse problem for the helmholtz equation. / Shishlenin, M. A.; Kasenov, S. E.; Askerbekova, Zh A.

Computational and Information Technologies in Science, Engineering and Education - 9th International Conference, CITech 2018, Revised Selected Papers. ed. / Yuri Shokin; Zhassulan Shaimardanov. Springer-Verlag GmbH and Co. KG, 2019. p. 197-207 (Communications in Computer and Information Science; Vol. 998).

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

Harvard

Shishlenin, MA, Kasenov, SE & Askerbekova, ZA 2019, Numerical algorithm for solving the inverse problem for the helmholtz equation. in Y Shokin & Z Shaimardanov (eds), Computational and Information Technologies in Science, Engineering and Education - 9th International Conference, CITech 2018, Revised Selected Papers. Communications in Computer and Information Science, vol. 998, Springer-Verlag GmbH and Co. KG, pp. 197-207, 9th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2018, Ust-Kamenogorsk, Kazakhstan, 25.09.2018. https://doi.org/10.1007/978-3-030-12203-4_20

APA

Shishlenin, M. A., Kasenov, S. E., & Askerbekova, Z. A. (2019). Numerical algorithm for solving the inverse problem for the helmholtz equation. In Y. Shokin, & Z. Shaimardanov (Eds.), Computational and Information Technologies in Science, Engineering and Education - 9th International Conference, CITech 2018, Revised Selected Papers (pp. 197-207). (Communications in Computer and Information Science; Vol. 998). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-3-030-12203-4_20

Vancouver

Shishlenin MA, Kasenov SE, Askerbekova ZA. Numerical algorithm for solving the inverse problem for the helmholtz equation. In Shokin Y, Shaimardanov Z, editors, Computational and Information Technologies in Science, Engineering and Education - 9th International Conference, CITech 2018, Revised Selected Papers. Springer-Verlag GmbH and Co. KG. 2019. p. 197-207. (Communications in Computer and Information Science). doi: 10.1007/978-3-030-12203-4_20

Author

Shishlenin, M. A. ; Kasenov, S. E. ; Askerbekova, Zh A. / Numerical algorithm for solving the inverse problem for the helmholtz equation. Computational and Information Technologies in Science, Engineering and Education - 9th International Conference, CITech 2018, Revised Selected Papers. editor / Yuri Shokin ; Zhassulan Shaimardanov. Springer-Verlag GmbH and Co. KG, 2019. pp. 197-207 (Communications in Computer and Information Science).

BibTeX

@inproceedings{7ad5e10c4f5c4b20a8495400cfbef23c,
title = "Numerical algorithm for solving the inverse problem for the helmholtz equation",
abstract = "In this paper we consider acoustic equation. The equation by separation of variables is reduced to a boundary value problem for the Helmholtz equation. We consider problem for the Helmholtz equation. We reduce the solution of the operator equation to the problem of minimizing the functional. And we build numerical algorithm for solving the inverse problem. At the end of the article is given the numerical calculations of this problem.",
keywords = "Comparative analysis, Continuation problem, Landweber{\textquoteright}s method, Numerical methods, Regularization problem",
author = "Shishlenin, {M. A.} and Kasenov, {S. E.} and Askerbekova, {Zh A.}",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; 9th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2018 ; Conference date: 25-09-2018 Through 28-09-2018",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-12203-4_20",
language = "English",
isbn = "9783030122027",
series = "Communications in Computer and Information Science",
publisher = "Springer-Verlag GmbH and Co. KG",
pages = "197--207",
editor = "Yuri Shokin and Zhassulan Shaimardanov",
booktitle = "Computational and Information Technologies in Science, Engineering and Education - 9th International Conference, CITech 2018, Revised Selected Papers",
address = "Germany",

}

RIS

TY - GEN

T1 - Numerical algorithm for solving the inverse problem for the helmholtz equation

AU - Shishlenin, M. A.

AU - Kasenov, S. E.

AU - Askerbekova, Zh A.

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2019.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this paper we consider acoustic equation. The equation by separation of variables is reduced to a boundary value problem for the Helmholtz equation. We consider problem for the Helmholtz equation. We reduce the solution of the operator equation to the problem of minimizing the functional. And we build numerical algorithm for solving the inverse problem. At the end of the article is given the numerical calculations of this problem.

AB - In this paper we consider acoustic equation. The equation by separation of variables is reduced to a boundary value problem for the Helmholtz equation. We consider problem for the Helmholtz equation. We reduce the solution of the operator equation to the problem of minimizing the functional. And we build numerical algorithm for solving the inverse problem. At the end of the article is given the numerical calculations of this problem.

KW - Comparative analysis

KW - Continuation problem

KW - Landweber’s method

KW - Numerical methods

KW - Regularization problem

UR - http://www.scopus.com/inward/record.url?scp=85062523385&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-12203-4_20

DO - 10.1007/978-3-030-12203-4_20

M3 - Conference contribution

AN - SCOPUS:85062523385

SN - 9783030122027

T3 - Communications in Computer and Information Science

SP - 197

EP - 207

BT - Computational and Information Technologies in Science, Engineering and Education - 9th International Conference, CITech 2018, Revised Selected Papers

A2 - Shokin, Yuri

A2 - Shaimardanov, Zhassulan

PB - Springer-Verlag GmbH and Co. KG

T2 - 9th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2018

Y2 - 25 September 2018 through 28 September 2018

ER -

ID: 18815557