Paper Publications

• [1]Y. Jiang, C.-W. Shu and M. Zhang, An alternative formulation of finite difference weighted ENO schemes with Lax-Wendroff time discretization for conservation laws, SIAM Journal on Scientific Computing, v35 (2013), pp. A1137-A1160..
• [2]Y. Jiang, C.-W. Shu and M. Zhang, High order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates, Mathematical Models and Methods in Applied Sciences (M3AS), v25 (2015), pp.1553-1588.
• [3]A. Christlieb, W. Guo and Y. Jiang, A WENO-based method of lines transpose approach for Vlasov simulations, Journal of Computational Physics, v327 (2016), pp. 337-367.
• [4]V. A. Bokil, Y. Cheng, Y. Jiang and F. Li, Energy stable discontinuous Galerkin methods for Maxwells equations in nonlinear optical media, Journal of Computational Physics, v350 (2017), pp. 420-452.
• [5]A. Christlieb, X. Feng, Y. Jiang and Q. Tang, A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes, SIAM Journal on Scientific Computing, v40 (2018), pp. A2631-A2666.
• [6]A. Christlieb, W. Guo and Y. Jiang, A kernel based high order "explicit" unconditionally stable scheme for time dependent Hamilton-Jacobi equations, Journal of Computational Physics, v379 (2019), pp. 214-236.
• [7]V. A. Bokil, Y. Cheng, Y. Jiang, F. Li, and P. Sakkaplangkul, High spatial order energy stable FDTD methods for Maxwell's equations in nonlinear optical media, Journal of Scientific Computing, v77 (2018), pp. 1-42.
• [8]Z. Tao, Y. Jiang and Y. Cheng, An adaptive high-order piecewise polynomial based sparse grid collocation method with applications, Journal of Computational Physics, v433 (2021), 109770.
• [9]F. Cakir, A. Christlieb and Y. Jiang, A kernel based high order "explicit" unconditionally stable constrained transport method for ideal magnetohydrodynamics, SIAM Journal on Scientific Computing, v43 (2021), pp. B598-B622.
• [10]A. Christlieb, W. Guo, Y. Jiang and H. Yang, Kernel based high order "explicit" unconditionally stable scheme for nonlinear degenerate advection-diffusion equations, Journal of Scientific Computing, v82 (2020), 52.