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- W2950586618 abstract "We study the numerical solution for Volerra integro-differential equations with smooth and non-smooth kernels. We use a $h$-version discontinuous Galerkin (DG) method and derive nodal error bounds that are explicit in the parameters of interest. In the case of non-smooth kernel, it is justified that the start-up singularities can be resolved at superconvergence rates by using non-uniformly graded meshes. Our theoretical results are numerically validated in a sample of test problems." @default.
- W2950586618 created "2019-06-27" @default.
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- W2950586618 date "2013-01-28" @default.
- W2950586618 modified "2023-09-27" @default.
- W2950586618 title "A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels" @default.
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