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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 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

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.

UDC: 519.63

Received: 27.04.2006


 English version:
Computational Mathematics and Mathematical Physics, 2007, 47:5, 829–842

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