Abstract
New classes of problems with discontinuous solutions are considered. The corresponding generalized problems are obtained. Numerical schemes, which are as asymptotically accurate as similar schemes for problems with smooth solutions, are proposed for the new classes of problems.
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 100–124, November–December, 1999.
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Sergienko, I.V., Deineka, V.S. Problems with conjugation conditions and their high-accuracy computational discretization algorithms. Cybern Syst Anal 35, 930–950 (1999). https://doi.org/10.1007/BF02742285
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DOI: https://doi.org/10.1007/BF02742285