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- W2316847984 abstract "The z-transform is introduced to analyze a full discretization method for a partial integro-differential equation (PIDE) with a weakly singular kernel. In this method, spectral collocation is used for the spatial discretization, and, for the time step- ping, the finite difference method combined with the convolution quadrature rule is considered. The global stability and convergence properties of complete discretization are derived and numerical experiments are reported. AMS subject classifications: 65M12, 65M15, 65M70, 45K05" @default.
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- W2316847984 date "2013-06-01" @default.
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- W2316847984 title "The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-differential Equation with a Weakly Singular Kernel" @default.
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- W2316847984 doi "https://doi.org/10.4208/nmtma.2013.1111nm" @default.
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