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math.NA2026
A Mass, Momentum, and Energy Conserving Semi-Lagrangian Adaptive-Rank (SLAR) Method for the Vlasov-Poisson System
Nanyi Zheng, William A. Sands, Jing-Mei Qiu
We propose a semi-Lagrangian adaptive-rank (SLAR) method that combines the large time-step capability of semi-Lagrangian schemes with the efficiency of adaptive-rank tensor represe…
math.NA2026
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…