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Fast numerical solution of weakly singular Volterra integral equations

Lubich, Christian
Schlichte, Manfred
Published in Journal of Computational and Applied Mathematics. 1988, vol. 23, no. 1, p. 87-98
Abstract We give a FORTRAN program for the numerical solution of Abel—Volterra convolution equations of the second and first kind. We use a fractional linear multistep method (BDF4)^(1/2) and use Fast Fourier transform techniques to exploit the convolution structure. A detailed description of the computation of the quadrature weights using FFT is given. Numerical examples are included.
Keywords Abel-Volterra convolution equationFractional multistep methodFast Fourier Transform
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HAIRER, Ernst, LUBICH, Christian, SCHLICHTE, Manfred. Fast numerical solution of weakly singular Volterra integral equations. In: Journal of Computational and Applied Mathematics, 1988, vol. 23, n° 1, p. 87-98. doi: 10.1016/0377-0427(88)90332-9 https://archive-ouverte.unige.ch/unige:12471

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Deposited on : 2010-11-16

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