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UID:https://events.ucf.edu/event/3715975/mathematics-colloquium-by-dr-brian-moore/
DTSTAMP:20250203T153000
DTSTART:20250203T153000
DTEND:20250203T163000
LOCATION:MSB 318: Mathematical Sciences Building, Room 318

SUMMARY:Mathematics Colloquium by Dr. Brian Moore
URL:https://events.ucf.edu/event/3715975/mathematics-colloquium-by-dr-brian-moore/
DESCRIPTION:The UCF [Mathematics Colloquium](https://sciences.ucf.edu/math/colloquium/), held every Monday from 3:30pm to 4:30pm in MSB 318, offers a diverse platform for research scholars, faculty, students, and industry experts to share and exchange ideas, fostering discussion and networking across various areas of mathematics.\n\nDr. [Brian Moore](https://sciences.ucf.edu/math/person/brian-moore/) (Department of Mathematics, UCF) will speak at this week's colloquium on time stepping with exact dissipation rates.\n\nAbstract: Many ODE and PDE models with damping and/or exernal driving forces have properties which describe energy, mass, momentum, etc. In particular, exponential integrators, which are generalizations of Runge-Kutta, discrete gradient, and collocation methods can be constructed to preserve these properties in numerical simulations under certain restrictions. As time-stepping schemes these methods have certain advantages for particular models, because they have dissipation rates that are exact, up to machine precision. Method construction, numerical stability, and applications, resulting primarily from undergraduate research projects at UCF, will be presented. 
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