V. A. Il'in, A. I. Zhilayev, V. V. Tikhomirov, “On solving eiconal equation in vertically non-homogeneous strata”, Mat. Model., 2:10 (1990), 141

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Matematicheskoe modelirovanie, 1990, Volume 2, Number 10, Pages 141–156 (Mi mm2475)

Computational methods and algorithms

On solving eiconal equation in vertically non-homogeneous strata

V. A. Il'in, A. I. Zhilayev, V. V. Tikhomirov

M. V. Lomonosov Moscow State University

Full-text PDF (1376 kB)

Abstract: Existence and uniqueness of solution of the Cauchy problem for the eiconal equation is observed. An effective numerical method for time field expanding in vertically non-homogeneous gradient strata is proposed. Estimation of numerical method's initial data stability is obtained.

Received: 17.10.1990

Bibliographic databases:

Document Type: Article

UDC: 517.95

Language: Russian

Citation: V. A. Il'in, A. I. Zhilayev, V. V. Tikhomirov, “On solving eiconal equation in vertically non-homogeneous strata”, Mat. Model., 2:10 (1990), 141–156

Citation in format AMSBIB

\Bibitem{IliZhiTik90}

\by V.~A.~Il'in, A.~I.~Zhilayev, V.~V.~Tikhomirov

\paper On solving eiconal equation in vertically non-homogeneous strata

\jour Mat. Model.

\yr 1990

\vol 2

\issue 10

\pages 141--156

\mathnet{http://mi.mathnet.ru/mm2475}

\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1123438}

\zmath{https://zbmath.org/?q=an:0974.35533}

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https://www.mathnet.ru/eng/mm/v2/i10/p141

Citing articles in Google Scholar: Russian citations, English citations
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