8 citations · 13 across the 4 of their papers we have counts for
4 papers
An efficient iterative method for solving parameter-dependent and random convention-diffusion problems
Xiaobing Feng, Yan Luo, Liet Vo +1
This paper develops and analyzes a general iterative framework for solving parameter-dependent and random convection-diffusion problems. It is inspired by the multi-modes method of…
A Multilevel Monte Carlo Ensemble Scheme for Solving Random Parabolic PDEs
Yan Luo, Zhu Wang
A first-order, Monte Carlo ensemble method has been recently introduced for solving parabolic equations with random coefficients in [26], which is a natural synthesis of the ensemb…
An ensemble algorithm for numerical solutions to deterministic and random parabolic PDEs
Yan Luo, Zhu Wang
In this paper, we develop an ensemble-based time-stepping algorithm to efficiently find numerical solutions to a group of linear, second-order parabolic partial differential equati…
Bifurcations of a nonlinear spherical pendulum with vibrating suspension point
Yan Luo, Kaicheng Sheng
This paper considers a nonlinear spherical pendulum whose suspension point performs high-frequency spatial vibrations. The dynamics of this pendulum can be described by averaging i…