Geodesic
Calculating the coefficients of a discrete elliptic equation from spectral data
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 5, pp. 867-881

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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. 
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     author = {S. I. Serdyukova},
     title = {Calculating the coefficients of a~discrete elliptic equation from spectral data},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {867--881},
     publisher = {mathdoc},
     volume = {47},
     number = {5},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a7/}
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S. I. Serdyukova. Calculating the coefficients of a discrete elliptic equation from spectral data. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 5, pp. 867-881. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a7/