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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Diffusive Representations of Fractional Differenti
al Operators and Their Use in Numerical Fractional
Calculus - Kai Diethelm (University of Applied S
ciences Würzburg-Schweinfurt)
DTSTART;TZID=Europe/London:20220307T140000
DTEND;TZID=Europe/London:20220307T150000
UID:TALK170036AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/170036
DESCRIPTION:The infinite state representation\, also known as
the diffusive representation\, is a way to express
a fractional differential operator in the form of
an integral\, typically over the positive half-li
ne\, whose integrand can be written as the solutio
n to a relatively simple initial value problem for
a first order differential equation. As such\, it
permits to approximately compute fractional deriv
atives by the application of a numerical integrati
on method to an integrand obtained by numerically
solving the first order initial value problem. Com
pared to traditional methods\, applying this appro
ach as the underlying discretization of the fracti
onal derivative in a solver for fractional differe
ntial equations has significant advantages with re
spect to run time and memory requirements of the a
lgorithm. However\, the algorithms obtained in thi
s way depend on a number of parameters that are no
t trivial to interpret and whose influence on the
accuracy of the final result is often unclear. In
this talk\, we will present an investigation of th
ese dependencies and present some guidelines on ho
w to choose the parameters.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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