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- W1972446129 abstract "The basic problems of the theory of homogeneous difference schemes for linear, quasi-linear aud non-linear equations of parabolic type have been studied in a number of works ([ll151). The stability, convergence, and also estimates of the rate of convergence (order of accuracy) of several families of homogeneous difference schemes in the classes of continuous aud ~s~tinu~ coefficients of the differential equation have been established. In [sl attention was paid to the fact that on an arbitrary sequence of non-uniform nets difference schemes which have second order approximation on uniform nets have only first order approximation. For this reason the problem of the order of accuracy on non-uuiform nets requires special study. A family of homogeneous difference schemes on non-uniform nets for the equation" @default.
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- W1972446129 date "1963-01-01" @default.
- W1972446129 modified "2023-09-25" @default.
- W1972446129 title "Homogeneous difference schemes on non-uniform nets for equations of parabolic type" @default.
- W1972446129 cites W2489300628 @default.
- W1972446129 doi "https://doi.org/10.1016/0041-5553(63)90025-9" @default.
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