11 Publications
2019
Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations
Liu, Yuan⋅Liu, Yuan⋅Liu, Yuan⋅Cheng, Yingda⋅Cheng, Yingda⋅Cheng, Yingda⋅Chen, Shanqin⋅Chen, Shanqin⋅Chen, Shanqin⋅Zhang, Yong-Tao⋅Zhang, Yong-Tao and Zhang, Yong-Tao
Journal of Computational Physics, vol. 388, pp. 102, 2019-07-01. | Journal Article
2018
Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations
Liu, Yuan⋅Cheng, Yingda⋅Chen, Shanqin and Zhang, Yong-Tao
2018-10-25. | Journal Article
 
Third order WENO scheme on sparse grids for hyperbolic equations
Lu, Dong⋅Chen, Shanqin and Zhang, Yong-Tao
Pure and Applied Mathematics Quarterly, vol. 14, (no. 1), pp. 86, 2018-00-00. | Journal Article
2017
Krylov implicit integration factor WENO method for SIR model with directed diffusion
Zhao, Ruijun⋅Zhang, Yong-Tao and Chen, Shanqin
Discrete & Continuous Dynamical Systems - B, vol. 22, (no. 11), pp. 19, 2017-00-00. | Journal Article
2011
Krylov implicit integration factor methods for spatial discretization on high dimensional unstructured meshes: Application to discontinuous Galerkin methods
Chen, Shanqin and Zhang, Yong-Tao
Journal of Computational Physics, vol. 230, (no. 11), pp. 4336-4352, 2011. | Journal Article
 
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations
Zhang, Yong-Tao⋅Chen, Shanqin⋅Li, Fengyan⋅Zhao, Hongkai and Shu, Chi-Wang
SIAM Journal on Scientific Computing, vol. 33, (no. 4), pp. 1896, 2011-01-00. | Journal Article
2007
A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations
Chen, Shanqin⋅Weinan, E.⋅Liu, Yunxian and Shu, Chi Wang
Journal of Computational Physics, vol. 225, (no. 2), pp. 1314-1330, 2007. | Journal Article
 
Modeling Yeast Cell Polarization Induced by Pheromone Gradients
Yi, Tau Mu⋅Chen, Shanqin⋅Chou, Ching Shan and Nie, Qing
Journal of Statistical Physics, vol. 128, (no. 1-2), pp. 193-207, 2007. | Journal Article
2006
Fixed-point Iterative Sweeping Methods for Static Hamilton-Jacobi Equations
Chen, Shanqin⋅Zhang, Yong-Tao and Zhao, Hong-Kai
Methods and Applications of Analysis, vol. 13, (no. 3), pp. 320, 2006-00-00. | Journal Article
2005
The heterogeneous multi-scale method based on the discontinuous Galerkin and finite volume schemes (Dissertation)
Chen, Shanqin (2005).
 
The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems
Chen, Shanqin⋅E, Weinan and Shu, Chi-Wang
Multiscale Modeling & Simulation, vol. 3, (no. 4), pp. 894, 2005-01-00. | Journal Article