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SUMMARY:Diffusive Representations of Fractional Differential Operators and
  Their Use in Numerical Fractional Calculus - Kai  Diethelm (University of
  Applied Sciences Würzburg-Schweinfurt)
DTSTART:20220307T140000Z
DTEND:20220307T150000Z
UID:TALK170036@talks.cam.ac.uk
DESCRIPTION:The infinite state representation\, also known as the diffusiv
 e representation\, is a way to express a fractional differential operator 
 in the form of an integral\, typically over the positive half-line\, whose
  integrand can be written as the solution to a relatively simple initial v
 alue problem for a first order differential equation. As such\, it permits
  to approximately compute fractional derivatives by the application of a n
 umerical integration method to an integrand obtained by numerically solvin
 g the first order initial value problem. Compared to traditional methods\,
  applying this approach as the underlying discretization of the fractional
  derivative in a solver for fractional differential equations has signific
 ant advantages with respect to run time and memory requirements of the alg
 orithm. However\, the algorithms obtained in this way depend on a number o
 f parameters that are not trivial to interpret and whose influence on the 
 accuracy of the final result is often unclear. In this talk\, we will pres
 ent an investigation of these dependencies and present some guidelines on 
 how to choose the parameters.
LOCATION:Seminar Room 2\, Newton Institute
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