3 papers
math.NA2026
Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures
Jiajia Yu, Jingwei Hu, Fengyan Li +3
Parametrized PDEs with density-valued solutions are often difficult to approximate with classical linear reduced-order models, especially in transport-dominated regimes. We introdu…
math.NA2026
Multi-Scale Kinetic Simulation: Asymptotic Preserving IMEX-BDF-DG Schemes with Three Implicit-Explicit Partitionings
Kimberly Matsuda, Fengyan Li
Kinetic transport models are mesoscopic mathematical descriptions of the transport of particles as well as their interactions with the background media or among themselves, and the…
math.NA2025
Reduced Basis Methods for Parametric Steady-State Radiative Transfer Equation
Kimberly Matsuda, Yanlai Chen, Yingda Cheng +1
The radiative transfer equation (RTE) is a fundamental mathematical model to describe physical phenomena involving the propagation of radiation and its interactions with the host m…