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- W2944992092 abstract "In this paper, we investigate barycentric rational collocation methods for weakly singular Volterra integral equations. Since the exact solution usually has a weak singularity at the initial point, a smoothing transformation is first used to convert the original equation to a new equation whose exact solution is smooth enough. Then, by the collocation approach based on barycentric rational interpolation, a discrete numerical scheme is constructed, and a general convergence result is established. Finally, the theoretical results are illustrated by some numerical examples." @default.
- W2944992092 created "2019-05-29" @default.
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- W2944992092 date "2019-05-25" @default.
- W2944992092 modified "2023-09-29" @default.
- W2944992092 title "Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels" @default.
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- W2944992092 doi "https://doi.org/10.1007/s40314-019-0890-9" @default.
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