Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems. - Denise Aregba-Driollet; Roberto Natalini; Shaoqiang Tang (Math. Comput., 2004)

A pseudo-spectral multiscale method: Interfacial conditions and coarse grid equations. - Shaoqiang Tang; Thomas Y. Hou 001; Wing Kam Liu (J. Comput. Phys., 2006)

A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids. - Shaoqiang Tang (J. Comput. Phys., 2008)

Accurate boundary treatment for transient Schrödinger equation under polar coordinates. - Lei Bian; Songsong Ji; Gang Pang; Shaoqiang Tang (Comput. Math. Appl., 2016)

ALmost EXact boundary conditions for transient Schrödinger-Poisson system. - Lei Bian; Gang Pang; Shaoqiang Tang; Anton Arnold (J. Comput. Phys., 2016)

Homogenizing atomic dynamics by fractional differential equations. - Shaoqiang Tang; Yuping Ying (J. Comput. Phys., 2017)

Exact Boundary Condition for Semi-discretized Schrödinger Equation and Heat Equation in a Rectangular Domain. - Gang Pang; Yibo Yang; Shaoqiang Tang (J. Sci. Comput., 2017)

HiDeNN-PGD: reduced-order hierarchical deep learning neural networks. - Lei Zhang 164; Ye Lu; Shaoqiang Tang; Wing Kam Liu (CoRR, 2021)

Accurate Boundary Treatment for Riesz Space Fractional Diffusion Equations. - Shaoqiang Tang; Gang Pang (J. Sci. Comput., 2021)

Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. - Gang Pang; Yibo Yang; Xavier Antoine; Shaoqiang Tang (Math. Comput., 2021)

Finite difference approach for multiscale computations of atomic chain at finite temperature. - Lei Zhang 164; Shaoqiang Tang; Baiyili Liu (Comput. Math. Appl., 2022)

Discovery of PDEs driven by data with sharp gradient or discontinuity. - Kang Wang; Lei Zhang 164; Shaoqiang Tang (Comput. Math. Appl., 2023)

Efficient Matching Boundary Conditions of Two-dimensional Honeycomb Lattice for Atomic Simulations. - Baiyili Liu; Songsong Ji; Gang Pang; Shaoqiang Tang; Lei Zhang 164 (CoRR, 2024)

Solving Advection-Diffusion Equation by Proper Generalized Decomposition with Coordinate Transformation. - Xinyi Guan; Shaoqiang Tang (J. Sci. Comput., 2024)

Ruminated Tensor Decomposition algorithm for solving inviscid Burgers' equation. - Shaoqiang Tang; Hongjian Xu (J. Comput. Phys., 2025)