41 citations · 92 across the 10 of their papers we have counts for
10 papers
Block preconditioning methods for asymptotic preserving scheme arising in anisotropic elliptic problems
Lingxiao Li, Chang Yang
Efficient and robust iterative solvers for strong anisotropic elliptic equations are very challenging. In this paper a block preconditioning method is introduced to solve the linea…
Asymptotic preserving scheme for anisotropic elliptic equations with deep neural network
Long Li, Chang Yang
In this paper, a new asymptotic preserving (AP) scheme is proposed for the anisotropic elliptic equations. Different from previous AP schemes, the actual one is based on first-orde…
Preserving the accuracy of numerical methods discretizing anisotropic elliptic problems
Chang Yang, Fabrice Deluzet, Jacek Narski
In this paper we study the loss of precision of numerical methods discretizing anisotropic problems and propose alternative approaches free from this drawback. The deterioration of…
Numerical Simulations to the Vlasov-Poisson System with a Strong Magnetic Field
Francis Filbet, Chang Yang
In this paper, we present an efficient Particle-In-Cell algorithm for the simulation of the three dimensional Vlasov-Poisson system in the presence of a strong external magnetic fi…
A hybrid finite volume method for advection equations and its applications in population dynamics
Chang Yang, Leon M. Tine
We present in this paper a very adapted finite volume numerical scheme for transport type-equation. The scheme is an hybrid one combining an anti-dissipative method with down-windi…
Mixed semi-Lagrangian/finite difference methods for plasma simulations
Francis Filbet, Chang Yang
In this paper, we present an efficient algorithm for the long time behavior of plasma simulations. We will focus on 4D drift-kinetic model, where the plasma's motion occurs in the…
Conservative and non-conservative methods based on hermite weighted essentially-non-oscillatory reconstruction for Vlasov equations
Chang Yang, Francis Filbet
We introduce a WENO reconstruction based on Hermite interpolation both for semi-Lagrangian and finite difference methods. This WENO reconstruction technique allows to control spuri…
Numerical Simulations of Kinetic Models for chemotaxis
Francis Filbet, Chang Yang
We present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models for chemosensitive movements set in an arbitrary geometry. We investigate the…
Inverse Lax-Wendroff method for boundary conditions of Boltzmann type models
Francis Filbet, Chang Yang
In this paper we present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models on complex geometry boundary. Due to the high dimensional prope…
Numerical study of a nonlinear heat equation for plasma physics
Francis Filbet, Claudia Negulescu, Chang Yang
This paper is devoted to the numerical approximation of a nonlinear temperature balance equation, which describes the heat evolution of a magnetically confined plasma in the edge r…