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An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace’s Equation. / Sorokin, S. B.

In: Numerical Analysis and Applications, Vol. 12, No. 1, 01.01.2019, p. 87-103.

Research output: Contribution to journal › Article › peer-review

Harvard

Sorokin, SB 2019, 'An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace’s Equation', Numerical Analysis and Applications, vol. 12, no. 1, pp. 87-103. https://doi.org/10.1134/S1995423919010075

APA

Sorokin, S. B. (2019). An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace’s Equation. Numerical Analysis and Applications, 12(1), 87-103. https://doi.org/10.1134/S1995423919010075

Vancouver

Sorokin SB. An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace’s Equation. Numerical Analysis and Applications. 2019 Jan 1;12(1):87-103. doi: 10.1134/S1995423919010075

Author

Sorokin, S. B. / An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace’s Equation. In: Numerical Analysis and Applications. 2019 ; Vol. 12, No. 1. pp. 87-103.

BibTeX

@article{79f7379bda59421d9f7928f14da52e34,
title = "An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace{\textquoteright}s Equation",
abstract = "A widespread approach to solving the Cauchy problem for Laplace{\textquoteright}s equation is to reduce it to an inverse problem. As a rule, an iterative procedure is used to solve this problem. In this study, an efficient direct method for numerically solving the inverse problem in rectangular domains is described. The main idea is to expand the desired solution with respect to a basis consisting of eigenfunctions of a difference analogue of Laplace{\textquoteright}s operator.",
keywords = "Cauchy problem for Laplace{\textquoteright}s equation, efficient direct method, inverse problem, numerical solution",
author = "Sorokin, {S. B.}",
note = "Publisher Copyright: {\textcopyright} 2019, Pleiades Publishing, Ltd.",
year = "2019",
month = jan,
day = "1",
doi = "10.1134/S1995423919010075",
language = "English",
volume = "12",
pages = "87--103",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace’s Equation

AU - Sorokin, S. B.

N1 - Publisher Copyright: © 2019, Pleiades Publishing, Ltd.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A widespread approach to solving the Cauchy problem for Laplace’s equation is to reduce it to an inverse problem. As a rule, an iterative procedure is used to solve this problem. In this study, an efficient direct method for numerically solving the inverse problem in rectangular domains is described. The main idea is to expand the desired solution with respect to a basis consisting of eigenfunctions of a difference analogue of Laplace’s operator.

AB - A widespread approach to solving the Cauchy problem for Laplace’s equation is to reduce it to an inverse problem. As a rule, an iterative procedure is used to solve this problem. In this study, an efficient direct method for numerically solving the inverse problem in rectangular domains is described. The main idea is to expand the desired solution with respect to a basis consisting of eigenfunctions of a difference analogue of Laplace’s operator.

KW - Cauchy problem for Laplace’s equation

KW - efficient direct method

KW - inverse problem

KW - numerical solution

UR - http://www.scopus.com/inward/record.url?scp=85064057668&partnerID=8YFLogxK

U2 - 10.1134/S1995423919010075

DO - 10.1134/S1995423919010075

M3 - Article

AN - SCOPUS:85064057668

VL - 12

SP - 87

EP - 103

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 1

ER -

ID: 19358671