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- W33758314 abstract "In this paper an explicit/implicit schemes for parabolic equations with discontinuous coe-cients is analyzed. We show that the error of the solution in L 1 norm and the error of the discrete ∞ux in L 2 norm are in order O(? + h 2 ) and O(? + h 3 2 ), respectively and the scheme is stable under some weaker conditions, while the difierence scheme has the truncation error O(1) at the neighboring points of the discontinuity of the coe-cient. Numerical experiments, which are given for both linear and nonlinear problems, show that our theoretical estimates are optimal in some sense. The comparison with some classical scheme is presented." @default.
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- W33758314 date "2004-01-01" @default.
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- W33758314 title "Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients" @default.
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