6 citations · 8 across the 6 of their papers we have counts for
7 papers
An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations
Zhanjing Tao, Juntao Huang, Yuan Liu +2
This paper develops a high order adaptive scheme for solving nonlinear Schrodinger equations. The solutions to such equations often exhibit solitary wave and local structures, whic…
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property
Zhichao Peng, Yingda Cheng, Jing-Mei Qiu +1
In our recent work [22], a family of high order asymptotic preserving (AP) methods, termed as IMEX-LDG methods, are designed to solve some linear kinetic transport equations, inclu…
An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form
Juntao Huang, Yuan Liu, Wei Guo +2
In this paper, we propose a class of adaptive multiresolution (also called adaptive sparse grid) discontinuous Galerkin (DG) methods for simulating scalar wave equations in second…
An adaptive high-order piecewise polynomial based sparse grid collocation method with applications
Zhanjing Tao, Yan Jiang, Yingda Cheng
This paper constructs adaptive sparse grid collocation method onto arbitrary order piecewise polynomial space. The sparse grid method is a popular technique for high dimensional pr…
An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions
Juntao Huang, Yingda Cheng
In this paper, we develop an adaptive multiresolution discontinuous Galerkin (DG) scheme for scalar hyperbolic conservation laws in multidimensions. Compared with previous work for…
An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem
Yingda Cheng, Jing Huang, Xiaozhou Li +1
In this paper, we consider numerical solutions of a time domain acoustic-elastic wave interaction problem which occurs between a bounded penetrable elastic body and a compressible…