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Wednesday, October 24
NOTE CHANGE IN DATE AND ROOM:
Shi Jin, Shanghai Jiao Tong University and
Semiclassical Computation of High-Frequency
Waves in Heterogeneous Media
The University of Wisconsin, Madison
Computer Science and Mathematics Division Seminar
10:00 AM — 11:00 AM, Research Office Building (5700), Room L-204
Contact: Clayton Webster (firstname.lastname@example.org), 865.574.3649
AbstractDr. Shi Jin will introduce semiclassical Eulerian methods that are efficient in computing high frequency waves through heterogeneous media. The method is based on the classical Liouville equation in phase space, with discontinuous Hamiltonians due to the barriers or material interfaces. Dr. Shi Jin will provide physically relevant interface conditions consistent with the correct transmissions and reflections, and then build the interface conditions into the numerical fluxes. This method allows the resolution of high frequency waves without numerically resolving the small wave lengths, and capture the correct transmissions and reflections at the interface. This method can also be extended to deal with diffraction and quantum barriers. Dr. Shi Jin will also discuss Eulerian Gaussian beam formulation which can compute caustics more accurately.