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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 5, Pages 867–881 (Mi zvmmf293)  
Calculating the coefficients of a discrete elliptic equation from spectral data

S. I. Serdyukova

Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia
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Abstract: A numerical analytical algorithm is developed for calculating the coefficients of a discrete two-dimensional elliptic equation from given eigenvalues and certain symmetry conditions imposed on the basis eigenfunctions.
Key words: partial differential equations, finite difference method, discrete elliptic equation, discrete Schrödinger equation, inverse problem, large polynomial systems, REDUCE system for analytical computations.
Received: 27.04.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 5, Pages 829–842
DOI: https://doi.org/10.1134/S0965542507050089
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: S. I. Serdyukova, “Calculating the coefficients of a discrete elliptic equation from spectral data”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007), 867–881; Comput. Math. Math. Phys., 47:5 (2007), 829–842
Citation in format AMSBIB
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\by S.~I.~Serdyukova
\paper Calculating the coefficients of a~discrete elliptic equation from spectral data
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 5
\pages 867--881
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378663}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 5
\pages 829--842
\crossref{https://doi.org/10.1134/S0965542507050089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34249748255}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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