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An Adaptive MFD Method for the Obstacle Problem Read chapter Read first chapter

2013 | OriginalPaper | Chapter

Piecewise Polynomial Collocation for Volterra Integral Equations with Logarithmic Kernels

Authors : M. Kolk, A. Pedas

Published in: Numerical Mathematics and Advanced Applications 2011

Publisher: Springer Berlin Heidelberg

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Abstract

We propose a numerical method for solving linear Volterra integral equations of the second kind with logarithmic kernels which, in addition to a diagonal singularity, may have a weak boundary singularity. The attainable order of global and local convergence of proposed algorithms is discussed and a collection of numerical results is given.

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Literature
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Metadata
Title
Piecewise Polynomial Collocation for Volterra Integral Equations with Logarithmic Kernels
Authors
M. Kolk
A. Pedas
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
Book
Numerical Mathematics and Advanced Applications 2011

Print ISBN: 978-3-642-33133-6

Electronic ISBN: 978-3-642-33134-3

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-3-642-33134-3_22

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