Applied Math Colloquim: Yifan Hu (UMBC)
Location
Mathematics/Psychology : 104
Date & Time
October 3, 2025, 12:00 pm – 1:00 pm
Description
Title: Numerical Solutions to Partial Differential Equations and Applications in Plasma Physics
Abstract: Partial differential equations (PDE) are tools to model complex systems 
    via partial derivatives. With one PDE or a system of PDEs, we may 
    describe both temporal and spatial evolution of a system. In addition to
     exciting developments in the theoretical analysis of PDEs, numerical 
    solutions to PDEs are extremely effective tools in physics, chemistry, 
    biology, finance, and engineering. Equipped with powerful high 
    performance computing software and hardware, we can  build, verify, and 
    apply sophisticated algorithms for mission critical applications in 
    these fields. In this talk, we present a brief overview of PDEs and 
    their numerical solutions in the context of plasma physics research. We 
    demonstrate the key pieces of accurate, robust, and efficient algorithms
     for plasma physics applications, in particular for the 1D1V 
    Vlasov-Poisson equation and the 1D2V relativistic Vlasov-Maxwell system.
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