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DTSTART:20070311T020000
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DTSTAMP:20230922T213111
DTSTART;TZID=America/Detroit:20230926T170000
DTEND;TZID=America/Detroit:20230926T180000
SUMMARY:Workshop / Seminar:Student Analysis Seminar: Lax Equations and the Toda Lattice
DESCRIPTION:The Toda lattice is a system of ordinary differential equations describing the motion of particles on a line connected via springs.  This Toda lattice system is notable for its ability to be rewritten as a Lax equation\, a certain differential equation of time-dependent linear operators.  In this talk\, we will introduce the Lax equation and describe its connection to the Korteweg-de Vries equation\, as well as establish the Toda lattice in the form of a Lax equation.  Time permitting\, we will also discuss several methods for solving the Toda lattice system that use orthogonal polynomials\, QR factorization\, and a Riemann-Hilbert problem.
UID:112923-21829785@events.umich.edu
URL:https://events.umich.edu/event/112923
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:
LOCATION:East Hall - 4096
CONTACT:
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