Matthew Golden, Los Alamos National Laboratory
When
Refreshments served at 3:00 pm in the 3rd floor atrium
TAP Colloquium
Matthew Golden, Los Alamos National Laboratory
Visit Dates: October 26 - 28, 2026
Title: Fighting the Curse of Dimensionality in Kinetic Simulations
Abstract: Properly modeling kinetic phenomena in the magnetosphere requires solving the six-dimensional Vlasov-Maxwell equations. Discretizing this phase space requires enormous computational resources, a challenge known as the curse of dimensionality. I will discuss Time Dependent Bases (TDB) for the kinetic equations, where a small set of basis functions coevolve with the solution to minimize the error in the governing equations. This approach can reduce memory requirements by orders of magnitude while retaining much of the solution’s accuracy. This tradeoff between memory and accuracy enables multi-fidelity modeling of kinetic processes, where the resources devoted to a problem are proportional to the desired accuracy. I will demonstrate the TDB formalism with several examples of increasing dimensionality.
Bio: TBA