3 papers
math.NA2026
On-the-Fly ROM-Based Acceleration of SI-DSA for Implicit Time Marching of the Radiative Transfer Equation
Ningxin Liu, Zhichao Peng
In implicit time marching of the radiative transfer equation (RTE), the resulting linear systems are commonly solved using source iteration with diffusion synthetic acceleration (S…
eess.SY2024
Estimate of Koopman modes and eigenvalues with Kalman Filter
Ningxin Liu, Shuigen Liu, Xin T. Tong +1
Dynamic mode decomposition (DMD) is a data-driven method of extracting spatial-temporal coherent modes from complex systems and providing an equation-free architecture to model and…
math.NA2023
Perron-Frobenius operator filter for stochastic dynamical systems
Ningxin Liu, Lijian Jiang
The filtering problems are derived from a sequential minimization of a quadratic function representing a compromise between model and data. In this paper, we use the Perron-Frobeni…