Articles with "product integration" as a keyword



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On the dense unbounded divergence of interpolatory product integration on Jacobi nodes

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Published in 2018 at "Calcolo"

DOI: 10.1007/s10092-018-0253-8

Abstract: This paper deals with interpolatory product integration rules based on Jacobi nodes, associated with the Banach space of all s-times continuously differentiable functions, and with a Banach space of absolutely integrable functions, on the interval… read more here.

Keywords: jacobi nodes; interpolatory product; product integration; product ... See more keywords
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Convergence analysis of the product integration method for solving the fourth kind integral equations with weakly singular kernels

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Published in 2020 at "Numerical Algorithms"

DOI: 10.1007/s11075-020-00877-x

Abstract: In this paper, we consider product integration method based on orthogonal polynomials to solve mixed system of Volterra integral equations of the first and second kind with weakly singular kernels. For investigation of the theoretical… read more here.

Keywords: integration method; product integration; method; weakly singular ... See more keywords