Strong stability preserving property of the deferred correction time discretization, with C.-W. Shu and M.P. Zhang, Journal of Computational Mathematics, 26 (2008), no. 5, pp.633-656.
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning, with W. Hao, J.D. Hauenstein, B. Hu, A.J. Sommese and Y.-T. Zhang, Discrete and Continuous Dynamical Systems - Series S, V4(6), (2011), pp. 1413-1428.
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core, with W. Hao, J.D. Hauenstein, B. Hu, A.J. Sommese and Y.-T. Zhang, Nonlinear Analysis Series B : Real World Applications, V13(2), (2012), pp. 694-709.
Continuation along bifurcation branches for a tumor model with a necrotic core, with W. Hao, J.D. Hauenstein, B. Hu, A.J. Sommese and Y.-T. Zhang, Journal of Scientific Computing, V53, (2012), pp. 395-413.
A robust reconstruction for unstructured WENO schemes, with Y.-T. Zhang, Journal of Scientific Computing, V54, (2013), pp. 603-621.
High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes, with A. Christlieb, Q. Tang and Z. Xu, Journal of Computational Physics, v281, (2015), pp.334-351.
High order operator splitting methods based on an integral deferred correction framework, with A. Christlieb, and Z. Xu, Journal of Computational Physics, v281, (2015), pp. 334-351.
Positivity-preserving WENO schemes with constrained transport for ideal magnetohydrodynamic equations, with A. Christlieb, Q. Tang and Z. Xu, SIAM Journal on Scientific Computing, 37(4), (2015), A1825-A1845.
Babich's expansion and high-order Eulerian asymptotics for point-source Helmholtz equations, with J. Qian, L. Yuan, S. Luo and R. Burridge, Journal of Scientific Computing, v67, (2016), pp. 883-908.
A simple bound-preserving sweeping technique for conservative numerical approximations, with Y. Cheng and C.-W. Shu, Journal of Scientific Computing, v73, (2017), pp.1028-1071.
IB-WENO method for incompressible flow with elastic boundaries, with Z. Cheng, M. Zhang, and J. Wang, Journal of Computational and Applied Mathematics, v362 (2019), pp.498-509.
Locally divergence-free spectral-DG methods for ideal magnetohydrodynamic equations on cylindrical coordinates, with Y. Liu, Q. Liu, C.-W. Shu and M. Zhang, Communications in Computational Physics, v26 (2019), pp.631-653.
Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations, with Y. Cheng, S. Chen, and Y.-T. Zhang, Journal of Computational Physics, v388, (2019), pp. 90-102.
Well-balanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshes, with H. Du, Y. Liu and Z. Xu, Journal of Scientific Computing, v81(3), (2019), pp. 90-102.
An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form, with J. Huang, W. Guo, Z. Tao and Y. Cheng, Journal of Scientific Computing, v85(1), (2020).
Multi-scale phase-field modeling of layer-by-layer powder compact densification during solid-state direct metal laser sintering, with X. Wang, L. Li, C. Yenusah, Y. Xiao and L. Chen, Materials & Design, v203, (2021), 109615.
An adaptive multiresolution ultra-weak discontinuous Galerkin method for Schrodinger equations, with J. Huang, Z. Tao, W. Guo and Y. Cheng, Communications on Applied Mathematics and Computations, (2021), pp. 1-24.
A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations, with J. Huang, Yong Liu, Z. Tao and Y. Cheng, SIAM Journal on Scientific Computing, v44(2), (2022), A745-A769.
Discontinuous Galerkin methods for network patterning phase-field model, with L. Yang, Y. Jiang and M. Zhang, Journal of Scientific Computing, to appear, (2023).
Unfolding deep learning end-to-end method for phase retrieval, with H. Cheng, C. Garcia-Cardona, W. Guo, S. Hahner, Y. Lou, M. Marini and S. Tang, preprint.
Total variation bounded spectral methods for hyperbolic conservation laws, with Z. Xu and Y. Cheng, preprint.