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PRODID:Mathematics Seminar Calendar
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UID:20180317T143225-9264@math.msu.edu
DTSTAMP:20180317T143225Z
SUMMARY:Fast high-order CAD-independent Nystrom methods for frequency-domain electromagnetics
DESCRIPTION:Speaker\: Mike O'Neil, Courant Institute, NYU \r\nOver the past three decades, there has been a myriad of advances in fast algorithms, singular quadrature, and integral equation theory relevant to the computational solution of partial diﬀerential equations, namely Maxwell’s equations, which govern the propagation of electromagnetic radiation. These advances have culminated in the ability to perform large-scale computations, but high-order accurate applications to solving integral equations has mostly been restricted to trivial geometries deﬁned by analytic formulas or large analytically deﬁned patches. These geometric descriptions are very limiting, given the advances that have been made in three-dimensional modeling software and fabrication. In this talk, I will describe recent advances in the numerical discretization of boundary integral equations along surfaces in three dimensions, new techniques for computing the resulting singular integrals, and the coupling of these techniques to fast algorithms, such as the fast multipole method.
LOCATION:C304 Wells Hall
DTSTART:20180223T211000Z
DTEND:20180223T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=9264
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UID:20180317T143225-13306@math.msu.edu
DTSTAMP:20180317T143225Z
SUMMARY:Observability of the visco-elastic wave equation
DESCRIPTION:Speaker\: Shitao Liu, Clemson University\r\n In this talk we give a proof of the Neumann boundary observability inequality for the visco-elastic wave equation in an arbitrary space dimension. To do this, we first give a new proof of the boundary observability for the classical wave equation that extends the harmonic analysis perspective of D.L.Russell to higher space dimensions. We then argue by perturbation to show the Riesz sequence property of the corresponding harmonic system for the visco-elastic wave equation.
LOCATION:C100 Wells Hall
DTSTART:20180323T201000Z
DTEND:20180323T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=13306
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UID:20180317T143225-13307@math.msu.edu
DTSTAMP:20180317T143225Z
SUMMARY:Sensor fusion via two types of diffusion — with sleep dynamics and fetal health as examples.
DESCRIPTION:Speaker\: Hau-Tieng Wu, Duke University\r\nQuantifying the intrinsic structure from a given massive dataset, which is often nonlinear and complex, is a common challenge shared in almost all scientific fields, including data science. The problem is becoming more challenging when the data are from multiple sensors with heterogenous data types. The diffusion geometry is a flexible framework for this challenge that has led to several convincing results with solid theoretical backup. We will discuss how to apply the diffusion geometry, particularly the alternating diffusion and commutator, to deal with the sensor fusion problem. Its application to the sleep dynamics analysis and fetal electrocardiogram analysis will be discussed.
LOCATION:C304 Wells Hall
DTSTART:20180420T201000Z
DTEND:20180420T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=13307
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