Jack Coughlin

Minisymposium at SIAM NNP 2023 on low-rank methods

With Joseph Nakao, I co-organized a minisymposium entitled "Low-rank methods and their applications in large data and high-dimensional problems". My talk was entitled "A Conservative Dynamical Low-rank Method for the Vlasov Equation", and focused on the results presented in our paper.

The full list of speakers, all of whom gave excellent talks, was as follows:

• Alex Townsend (Cornell University), Why are so many matrices and tensors compressible?
• Fan Tian (Tufts University), Tensor BM-Decomposition for Compression and Analysis of Spatio-Temporal Third-order Data
• William Sands (University of Delaware), A dynamic low-rank approximation for the linear kinetic transport equation in the diffusive limit
• Stefan Schnake (Oak Ridge National Laboratory), A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations
• Jack Coughlin (University of Washington), A conservative dynamical low-rank method for the Vlasov-Dougherty-Fokker-Planck equation via macro-micro decomposition
• Hossein Naderi (University of Pittsburgh), Oblique projection for scalable rank-adaptive reduced-order modeling of nonlinear stochastic PDEs with time-dependent bases
• Alec Dektor (Lawrence Berkeley National Lab), Coordinate-adaptive integration of PDEs on tensor manifolds
• Joseph Nakao (Swarthmore College), Implicit and implicit-explicit low-rank integrators for solving time-dependent problems