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CATEGORIES:Lecture, Colloquia, Seminar
DESCRIPTION:Speaker: Loc Nguyen (Univ. North Carolina at Charlotte)\n\nAbst
ract: The travel time tomography is the problem of reconstructing the speed
of the acoustics/seismic waves from their first time of arrival. This high
ly nonlinear problem is still open. In this talk\, we propose a new numeric
al method to solve its linearization with incomplete data. Our method is ba
sed on the technique of the truncation of the Fourier series with respect t
o a special basis of $L^{2}$. By this\, we derive a boundary value problem
for a system of coupled partial differential equations of the first order.
Solutions to this system are the spatially dependent Fourier coefficients o
f the solution to the linearized Eikonal equation. We solve this system by
the quasi-reversibility method in the finite difference scheme. Numerical
results for highly noisy data are presented.\n\nZoom link will be sent out
on Wednesday (Oct 22)
DTEND:20201022T220000Z
DTSTAMP:20201127T231001Z
DTSTART:20201022T210000Z
LOCATION:
SEQUENCE:0
SUMMARY:Applied Math Seminar: Numerical solution to the linearized travel t
ime tomography problem with incomplete data
UID:tag:localist.com\,2008:EventInstance_34779557808969
URL:https://events.k-state.edu/event/applied_math_seminar_numerical_solutio
n_to_the_linearized_travel_time_tomography_problem_with_incomplete_data
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