5 papers
Learning a general class of admissible multi-species collision operators from molecular dynamics
Yue Zhao, Andrew Christlieb, Huan Lei
We develop a structure-preserving, data-driven collision operator for spatially homogeneous multi-species kinetic systems from molecular dynamics (MD). The operator consists of dia…
WSINDy for Model Predictive Control with Applications to Fusion, Drones, and Chaos
Cristian López, Mckenna Partridge, Sebastian De Pascuale +4
The control of complex dynamical systems remains a fundamental challenge in science and engineering, where strong nonlinearities, the presence of noise, and computational constrain…
A Sampling-Based Adaptive Rank Approach to the Wigner-Poisson System
Andrew Christlieb, Sining Gong, Jing-Mei Qiu +1
We develop a mass-conserving, adaptive-rank solver for the 1D1V Wigner-Poisson system. Our work is motivated by applications to the study of the stopping power of particles at…
Data-driven construction of a generalized kinetic collision operator from molecular dynamics
Yue Zhao, Joshua W. Burby, Andrew Christlieb +1
We introduce a data-driven approach to learn a generalized kinetic collision operator directly from molecular dynamics. Unlike the conventional (e.g., Landau) models, the present o…
Boundary corrections for kernel approximation to differential operators
Andrew Christlieb, Sining Gong, Hyoseon Yang
Kernel-based approach to operator approximation for partial differential equations has been shown to be unconditionally stable for linear PDEs and numerically exhibit unconditional…