部分代表性论文：

[16] S. Guo, W. Yan*, L. Mei. IMEX Hermite-Galerkin spectral method for incompressible Hall-magneto hydrodynamic flow with varibale density.  SIAM Journal on Scientific Computing.  (Accepted)

[15] M. Zhou, R. Li, W. Yan*, Z. Chen. Discontinuous Galerkin method for the coupled dual-porosity-Navier-Stokes model.  Communications in Computational Physics. (Accepted)

[14] F. Jing, W. Han, T. Kashiwabara, W. Yan*.  On finite volume methods for a Navier-Stokes variational inequality. Journal of Scientific Computing. 2024, 98: 31.

[13] S. Guo, L. Mei, W. Yan. A linearly implicit spectral scheme for three-dimensional Hall-MHD system. SIAM Journal on Scientific Computing.  2024, 46(5), B752-B783.

[12]  Y. Hou, W. Yan*, J. Hou. A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations. Communications in Nonlinear Science and Numerical Simulation. 2023, 116: 106884.

[11] S. Guo, L. Mei, W. Yan, Y. Li.  Mass-, energy- and momentum- preserving spectral scheme for Klein-Gordon-Schrödinger system on infinite domains. SIAM Journal on Scientific Computing. 2023, 45(2), B200-B230.

[10] D. Ling, C-W. Shu, W. Yan*. Local discontinuous Galerkin methods for diffusive-viscous wave equations. Journal of Computational and Applied Mathematics. 2023, 419: 114690.

[9] S. Guo, W. Yan*, L. Mei, C. Li. Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains. Journal of Scientific Computing. 2022, 93: 53. 

[8] W. Yan*, Y. Li, J. Hou. Shape optimization for an obstacle located in incompressible Boussinesq flow. Computers & Fluids. 2022,  240, 105431.

[7] S. Guo, L. Mei, C. Li, W. Yan, J. Gao. IMEX Hermite-Galerkin spectral schemes with adaptive time stepping for the coupled nonlocal Gordon-type systems in multiple dimensions. SIAM  Journal on Scientific Computing. 2021, 43(6): B1133-B1163.

[6] J. Hou, W. Yan*, D. Hu, Z. He. Robin-Robin domain decomposition methods for the dual-porosity-conduit system. Advances in Computational Mathematics. 2021, 47 (1): 7

[5] Y. Zhang, H. Zhao, W. Yan, J. Gao. A unified numerical scheme for coupled multiphysics model. IEEE Transactions on Geoscience and Remote Sensing. 2021, 59 (10): 8228-8240.

[4] L. Shan, J. Hou, W. Yan, J. Chen. Partitioned time stepping method for a dual-porosity-Stokes model. Journal of Scientific Computing. 2019, 79(1): 389-413.

[3] F. Jing, W. Han, W. Yan*, F. Wang. Discontinuous Galerkin methods for a stationary Navier-Stokes problem with a nonlinear slip boundary condition of friction type. Journal of Scientific Computing. 2018,76(2): 888-912.

[2] W. Yan*, Y. He, Y. Ma. A numerical method for the viscous incompressible Oseen flow in shape reconstruction. Applied Mathematical Modelling. 2012, 36(1): 301-309.

[1] W. Yan*, Y. He, Y. Ma. Shape inverse problem for the two-dimensional unsteady Stokes flow. Numerical  Methods for Partial Differential Equations. 2010, 26(3): 690-701.