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SUMMARY:Some computational methods for kinetic transport equations - Yingd
 a Cheng (Michigan State University)
DTSTART:20220517T135000Z
DTEND:20220517T143500Z
UID:TALK174557@talks.cam.ac.uk
DESCRIPTION:Kinetic equations are mesoscale description of the transport o
 f particles&nbsp\; such as&nbsp\; neutrons\, photons\, electrons\, molecul
 es as well as their interaction with a background medium or among themselv
 es\, and they&nbsp\; &nbsp\; have wide applications in many &nbsp\; areas 
 of mathematical physics\,&nbsp\; such as nuclear engineering\, fusion devi
 ce\, optical tomography\, rarefied gas dynamics\,&nbsp\; semiconductor dev
 ice design\, &nbsp\; traffic network\, swarming\, etc. Because the equatio
 ns are posed in the phase space (physical space plus velocity space)\, any
  grid based method will run into computational bottleneck in real applicat
 ions that are 3D in physical space and 3D in velocity space.\nThis talk wi
 ll present three numerical solvers that we developed aiming at efficient c
 omputations of kinetic equations: the adaptive sparse grid discontinuous G
 alerkin method\, the reduced basis method and the machine learning moment 
 closure method. They aim at effective reduced order computations of such h
 igh dimensional equations. Benchmark numerical examples will be presented.
LOCATION:Seminar Room 2\, Newton Institute
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