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Student Analysis Seminar: Lax Equations and the Toda Lattice

Zachary Deiman
Tuesday, September 26, 2023
5:00-6:00 PM
4096 East Hall Map
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.
Building: East Hall
Event Type: Workshop / Seminar
Source: Happening @ Michigan from Student Analysis Seminar - Department of Mathematics, Department of Mathematics