74 citations · 114 across the 8 of their papers we have counts for
8 papers
Sharp error estimate of variable time-step IMEX BDF2 scheme for parabolic integro-differential equations with initial singularity arising in finance
Chengchao Zhao, Ruoyu Yang, Yana Di +1
The recently developed technique of DOC kernels has been a great success in the stability and convergence analysis for BDF2 scheme with variable time steps. However, such an analys…
Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell
Xianmin Xu, Masao Doi, Jiajia Zhou +1
We calculate the shape and the velocity of a bubble rising in an infinitely large and closed Hele-Shaw cell using Park and Homsy's boundary condition which accounts for the change…
Application of Onsager Machlup integral in solving dynamic equations in non-equilibrium systems
Masao Doi, Jiajia Zhou, Yana Di +1
In 1931, Onsager proposed a variational principle which has become the base of many kinetic equations for non-equilibrium systems. We have been showing that this principle is usefu…
Filtered Hyperbolic Moment Method for the Vlasov Equation
Yana Di, Yuwei Fan, Zhenzhong Kou +2
In this paper, we investigate the effect of the filter for the hyperbolic moment equations(HME) [15] of the Vlasov-Poisson equations and propose a novel quasi time-consistent filte…
Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines
Xianmin Xu, Yana Di, Haijun Yu
The sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact line problem are studied by asymptotic analysis and numerical…
Linear Stability of Hyperbolic Moment Models for Boltzmann Equation
Yana Di, Yuwei Fan, Ruo Li +1
Grad's moment models for Boltzmann equation were recently regularized to globally hyperbolic systems, and thus the regularized models attain local well-posedness for Cauchy data. T…
13-Moment System with Global Hyperbolicity for Quantum Gas
Yana Di, Yuwei Fan, Ruo Li
We point out that the quantum Grad's 13-moment system [R. Yano, Physica A: Statistical Mechanics and its Applications, 416:231-241, 2014] is lack of global hyperbolicity, and even…
Anisotropic meshes and stabilized parameters for the stabilized finite element methods
Yana Di, Hehu Xie, Xiaobo Yin
We propose a numerical strategy to generate the anisotropic meshes and select the appropriate stabilized parameters simultaneously for two dimensional convection-dominated convecti…