[16] F. Jing, T. Kashiwabara, W. Yan. Numerical analysis of lowest-order finite volume methods for a class of Stokes variational inequality problem. IMA Journal of Numerical Analysis. 2025, 1-34

[15] M. Zhou, R. Li,W. Yan*, Z. Chen. Discontinuous Galerkin method for the coupled dual-porosity-Navier-Stokes model.  Communications in Computational Physics. 2025, 37(4): 1008-1054.

[14] 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.2025, 47(2): B505-B532.

[13] 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.

[12] 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.

[11]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.

[10]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.

 [9] Y. Li, W. Yan*, S. Zhu,  F. Jing.  Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations.  Applied NumericalMathematics. 2023, 190: 220-253.

[8] 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.

[7] 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. 

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

[5] 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.

[4] 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

[3] 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.

[2] 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.

[1] 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.