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DTSTART;TZID=America/Los_Angeles:20201102T150000
DTEND;TZID=America/Los_Angeles:20201102T160000
DTSTAMP:20260518T090507
CREATED:20200813T013923Z
LAST-MODIFIED:20201024T182755Z
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SUMMARY:Applied Math Seminar: Numerical approximation of statistical solutions of hyperbolic systems of conservation laws given by Professor Franziska Weber (Carnegie Mellon University)
DESCRIPTION:Statistical solutions are time-parameterized probability\nmeasures on spaces of integrable functions\, which have been proposed\nrecently as a framework for global solutions for multi-dimensional\nhyperbolic systems of conservation laws. We present a numerical algorithm\nto approximate statistical solutions of conservation laws and show that\nunder the assumption of ‘weak statistical scaling’\, which is inspired by\nKolmogorov’s 1941 turbulence theory\, the approximations converge in an\nappropriate topology to statistical solutions. We will show numerical\nexperiments which indicate that the assumption might hold true.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-professor-franziska-weber-carnegie-mellon-university/
LOCATION:Zoom
CATEGORIES:Applied Math Seminar
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DTSTART;TZID=America/Los_Angeles:20201109T150000
DTEND;TZID=America/Los_Angeles:20201109T160000
DTSTAMP:20260518T090507
CREATED:20200813T015750Z
LAST-MODIFIED:20201029T042740Z
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SUMMARY:Applied Math Seminar: Multiscale analysis and high-order schemes for nonlinear multilevel Maxwell-Bloch equations given by Prof. Qing Xia (Rensselaer Polytechnic Institute)
DESCRIPTION:In this talk\, we will present a recent study of the\nMaxwell-Bloch equations that model the nonlinear interactions of light and\nmatter\, where the light is modeled classically by the Maxwell’s equations\nwith dispersions and the medium is modeled quantum-mechanically by the\nmultilevel rate equations. We will show the connection between rate\nequations and the density matrix\, where the former formulation is widely\nused in the engineering community and the latter in the Physics\nliterature. A multiscale analysis of the Maxwell-Bloch equations based on\nasymptotic expansions will also be discussed. The resulting reduced\nenvelope equations (or slow equations) capture amplitude dynamics of the\nunderlying solutions accurately and efficiently. In addition\, we will talk\nabout high-order accurate numerical schemes based on finite difference\napproximations in space and modified equation approach in time. The\nproposed schemes allow point-wise update of the solutions for both single\ndomains and domains with material interfaces\, thus enabling superb\nparallelism for arbitrary geometry. This is joint work with A. V.\nKildishev and L. J. Prokopeva from Purdue’s Birck Nanotechnology Center\,\nand J. W. Banks\, W. D. Henshaw\, G. Kovacic and D. W. Schwendeman from RPI.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-give-by-prof-qing-xia-rensselaer-polytechnic-institute/
LOCATION:Zoom
CATEGORIES:Applied Math Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20201123T150000
DTEND;TZID=America/Los_Angeles:20201123T160000
DTSTAMP:20260518T090507
CREATED:20200813T053915Z
LAST-MODIFIED:20201008T184544Z
UID:1958-1606143600-1606147200@colleges.claremont.edu
SUMMARY:Social hour
DESCRIPTION:Join us for a social hour with applied mathematicians at Claremont Colleges and University of Utah.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-professor-alan-e-lindsay/
LOCATION:CA
CATEGORIES:Applied Math Seminar
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