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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Efficient algorithms for convolutions based on con
tour integral methods - Maria Lopez-Fernandez (Uni
versitÃ degli Studi di Roma La Sapienza\; Universi
dad de MÃ¡laga)
DTSTART;TZID=Europe/London:20191212T113000
DTEND;TZID=Europe/London:20191212T123000
UID:TALK135610AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/135610
DESCRIPTION:We propose an efficient family of algorithms for t
he approximation of Volterra integral equations of
convolution type arising in two different applica
tions. The first application we consider is the ap
proximation of the fractional integral and associa
ted fractional differential equations. The second
application is the resolution of Schrö\;dinger
equations with concentrated potentials\, which ad
mit a formulation as systems of integral equations
. In both cases\, we are able to derive fast imple
mentations of Lubich'\;s Convolution Quadrature
with very much reduced memory requirements and ve
ry easy to implement. Our algorithms are based on
special contour integral representations of the Co
nvolution Quadrature weights\, according to the ap
plication\, and special quadratures to compute the
m. Numerical experiments showing the performance o
f our methods will be shown.

This is joint wo
rk with Lehel Banjai (Heriot-Watt University)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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