7 citations · 9 across the 5 of their papers we have counts for
6 papers
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…
A highly efficient asymptotic preserving IMEX method for the quantum BGK equation
Ruo Li, Yixiao Lu, Yanli Wang
This paper presents an asymptotic preserving (AP) implicit-explicit (IMEX) scheme for solving the quantum BGK equation using the Hermite spectral method. The distribution function…
Hermite spectral method for the inelastic Boltzmann equation
Ruo Li, Yixiao Lu, Yanli Wang
We propose a Hermite spectral method for the inelastic Boltzmann equation, which makes two-dimensional periodic problem computation affordable by the hardware nowadays. The new alg…
Hermite spectral method for multi-species Boltzmann equation
Ruo Li, Yixiao Lu, Yanli Wang +1
We introduce a numerical scheme for the full multi-species Boltzmann equation based on Hermite spectral method. With the proper choice of expansion centers for different species, a…
Adaptive Gradient Descent Methods for Computing Implied Volatility
Yixiao Lu, Yihong Wang, Tinggan Yang
In this paper, a new numerical method based on adaptive gradient descent optimizers is provided for computing the implied volatility from the Black-Scholes (B-S) option pricing mod…
A Two-fluid Model for Plasma with Prandtl Number Correction
Ruo Li, Yixiao Lu, Yanli Wang
A two-fluid model is derived from the plasma kinetic equations using the moment model reduction method. The moment method we adopt was recently developed with a globally hyperbolic…