BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Low-Rank Tensor Product Approximations for the Radiative Transfer 
 Equation in Plane-Parallel Geometry [Colloquium CRC 1720]
DTSTART:20260512T121500Z
DTEND:20260512T131500Z
DTSTAMP:20260716T204700Z
UID:indico-event-1072@math-events.uni-bonn.de
CONTACT:sfb1720-seminar@uni-bonn.de
DESCRIPTION:Speakers: Matthias Schlottbom\n\nThe radiative transfer equati
 on (RTE) is a fundamental model for describing the transport\, absorption\
 , and scattering of radiation in various applications\, ranging from medic
 al imaging to nuclear physics. However\, its dependence on both spatial an
 d angular variables leads to high-dimensional problems that pose significa
 nt computational challenges.In this talk\, I will present a low-rank tenso
 r product framework for efficiently approximating stationary radiative tra
 nsfer problems in plane-parallel geometry. The approach exploits the tenso
 r product structure of the phase space to formulate the discrete RTE as a 
 short sum of Kronecker products. This structure enables the use of a preco
 nditioned and rank-controlled Richardson iteration in Hilbert spaces\, all
 owing for rigorous control of both error and tensor rank.A key component o
 f the method is a preconditioner constructed via exponential sum approxima
 tions\, which is compatible with the low-rank tensor structure and transfo
 rms the problem into an equivalent formulation in a Euclidean metric. The 
 resulting algorithm is able to identify quasi-optimal ranks during iterati
 on automatically. We present numerical examples that indicate the computat
 ional performance.\n\nhttps://math-events.uni-bonn.de/event/1072/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1072/
END:VEVENT
END:VCALENDAR