2 papers
math-ph2025
A Framework of Model Reduction with Arbitrary Orders of Accuracy for the Boltzmann Equation
Zhenning Cai, Ruo Li, Yixiao Lu +1
This paper presents a general framework for constructing reduced models that approximate the Boltzmann equation with arbitrary orders of accuracy in terms of the Knudsen number $\m…
math.NA2020
Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy
Junying Cao, Zhenning Cai
We introduce a high-order numerical scheme for fractional ordinary differential equations with the Caputo derivative. The method is developed by dividing the domain into a number o…