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01-09-2014

Fractional convolution quadrature based on generalized Adams methods

Authors: Lidia Aceto, Cecilia Magherini, Paolo Novati

Published in: Calcolo | Issue 3/2014

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Abstract

In this paper we present a product quadrature rule for Volterra integral equations with weakly singular kernels based on the generalized Adams methods. The formulas represent numerical solvers for fractional differential equations, which inherit the linear stability properties already known for the integer order case. The numerical experiments confirm the valuable properties of this approach.

previous article Error estimation in a balanced norm for a convection-diffusion problem with two different boundary layers

next article Sinc approximation of eigenvalues of Sturm–Liouville problems with a Gaussian multiplier

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Title: Fractional convolution quadrature based on generalized Adams methods
Authors: Lidia Aceto
Cecilia Magherini
Paolo Novati
Publication date: 01-09-2014
Publisher: Springer Milan
Published in: Calcolo / Issue 3/2014
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-013-0094-4

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