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SUMMARY:A TAME method for the Inverse Laplace Transform of tame functions
DTSTART:20260331T090000Z
DTEND:20260331T100000Z
DTSTAMP:20260330T090000Z
UID:indico-event-339@events.dm.unipi.it
DESCRIPTION:Speakers: Nikita Deniskin (Scuola Normale Superiore)\n\nThe La
 place transform and its inverse are widely used tools in both theoretical 
 and applied contexts. However\, while the direct Laplace transform is stab
 le\, the inverse Laplace transform is an inherently ill-posed problem\, wh
 ich makes its accurate computation challenging\;  this has led to extensi
 ve research in numerical methods for the inverse Laplace transform. In thi
 s talk\, we focus on a family of algorithms\, called Abate-Whitt methods\,
  which recover the original function via linear combinations of evaluation
 s of the transform. We relate the accuracy\, with theoretical bounds\, of 
 the Abate-Whitt method to an approximation problem: constructing a rationa
 l approximation of the exponential $e^z$ on certain domains of the complex
  plane. We propose a new method\, dubbed TAME\, based on the AAA algorithm
  for rational approximation. TAME is especially effective for problems in 
 queueing theory\, in particular in analyzing phase-type distributions (Mar
 kov chains)\, and in computing the first return times in fluid queues. Her
 e evaluations of the Laplace transform are (relatively) expensive\, so it 
 is highly important to minimize the number of needed evaluations. Joint wo
 rk with Federico Poloni\, arXiv:2510.14799.\n\nhttps://events.dm.unipi.it/
 event/339/
LOCATION:Aula Magna (Dipartimento di Matematica)
ORGANIZER;CN=Indico:mailto:noreply@cs.dm.unipi.it
URL:https://events.dm.unipi.it/event/339/
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