From the 1 of 9 linked papers with an AI index.
9 papers
Nonnegative Low-Rank Matrix Correction under an Orthogonality Constraint in Conservative Vlasov Simulations
Yue Wu, Stephen Becker, Jingmei Qiu +1
The paper proposes optimization-based post‑processing methods to enforce nonnegativity on low‑rank approximations in conservative Vlasov simulations while exactly preserving densit…
A Structure-preserving Adaptive-Rank Approach to the High-Dimensional Wigner-Poisson System
Andrew J. Christlieb, Sining Gong, Jing-Mei Qiu +1
The Wigner-Poisson system is a deterministic phase-space model for quantum kinetic electron dynamics, but high-dimensional simulations are limited by the full 3D3V phase space and…
A Nodal Discontinuous Galerkin Method with Rank-Adaptive Velocity Space Representation for the Multiscale BGK Model
Andres Galindo-Olarte, Joseph Nakao, Mirjeta Pasha +2
A novel hybrid algorithm is presented for the Boltzmann-BGK equation, in which a rank-adaptive decomposition is applied solely in the velocity subspace, while a full-rank represent…
A Structure-Preserving Penalization Method for the Single-species Rosenbluth-Fokker-Planck Equation
Hamad El Kahza, Luis Chacón, William Taitano +2
The Rosenbluth-Fokker-Planck (RFP) equation describes Coulomb collisional dynamics within and across species in plasmas. It belongs to the broader class of anisotropic-diffusion-ad…
Sylvester-Preconditioned Adaptive-Rank Implicit Time Integrators for Advection-Diffusion Equations with Variable Coefficients
Hamad El Kahza, Jing-Mei Qiu, Luis Chacon +1
We consider the adaptive-rank integration of {2D and 3D} time-dependent advection-diffusion partial differential equations (PDEs) with variable coefficients. We employ a standard f…
High-order Adaptive Rank Integrators for Multi-scale Linear Kinetic Transport Equations in the Hierarchical Tucker Format
William A. Sands, Wei Guo, Jing-Mei Qiu +1
In this paper, we present a new adaptive rank approximation technique for computing solutions to the high-dimensional linear kinetic transport equation. The approach we propose is…