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Eigenvalue problems with discontinuous eigenfunctions and their numerical solutions

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Abstract

We consider new eigenvalue problems with discontinuous eigenfunctions and construct computational algorithms whose accuracy is not worse than the accuracy of analogous known algorithms for problems with smooth eigenfunctions.

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Institute of Cybernetics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10, pp. 1317–1323, October, 1999.

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Deineka, V.S., Sergienko, I.V. & Skopetskii, V.V. Eigenvalue problems with discontinuous eigenfunctions and their numerical solutions. Ukr Math J 51, 1484–1492 (1999). https://doi.org/10.1007/BF02981681

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  • DOI: https://doi.org/10.1007/BF02981681

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