Math Colloquium, Ari Stern (Washington University in Stl Louis): 'Simulating dynamical systems: classic methods and modern challenges'

Thursday, October 30, 2014
4:15 PM - 5:15 PM (ET)
ESC 638
Event Type
Academic Calendar
Cameron Hill
Math/CS Colloquium

Abstract: Ordinary differential equations (ODEs) are central to many areas of mathematics, and have a vast range of applications in science and engineering. However, most nonlinear ODEs cannot be solved in closed form. Fortunately, all hope is not lost: 'numerical integrators' allow us to simulate these dynamical systems, obtaining approximate solutions to an arbitrary degree of accuracy. This talk will introduce a few classic methods for numerical integration, along with the theory used to analyze their stability and convergence. I will also discuss some recent research developments in the area of 'geometric numerical integration',explaining why certain methods perform much better than others for simulating physical systems.

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