On ANOVA expansions and strategies for choosing the anchor point. - Zhen Gao 002; Jan S. Hesthaven (Appl. Math. Comput., 2010)

High order compact finite difference schemes for a system of third order boundary value problem. - Shusen Xie; Peng Li; Zhen Gao 002; Hui Wang (Appl. Math. Comput., 2012)

High Order Weighted Essentially Non-oscillation Schemes for Two-Dimensional Detonation Wave Simulations. - Zhen Gao 002; Wai Sun Don; Zhiqiu Li (J. Sci. Comput., 2012)

Mapped Hybrid Central-WENO Finite Difference Scheme for Detonation Waves Simulations. - Zhen Gao 002; Wai Sun Don (J. Sci. Comput., 2013)

A Spectral Study on the Dissipation and Dispersion of the WENO Schemes. - Feilin Jia; Zhen Gao 002; Wai-Sun Don (J. Sci. Comput., 2015)

Hybrid Fourier-Continuation Method and Weighted Essentially Non-oscillatory Finite Difference Scheme for Hyperbolic Conservation Laws in a Single-Domain Framework. - Peng Li; Zhen Gao 002; Wai-Sun Don; Shusen Xie (J. Sci. Comput., 2015)

An h-adaptive RKDG method with troubled-cell indicator for one-dimensional detonation wave simulations. - Hongqiang Zhu; Zhen Gao 002 (Adv. Comput. Math., 2016)

Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws. - Wai-Sun Don; Zhen Gao 002; Peng Li; Xiao Wen (SIAM J. Sci. Comput., 2016)

Enhanced Robustness of the Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws with Multi-resolution Analysis and Tukey's Boxplot Method. - Zhen Gao 002; Xiao Wen; Wai Sun Don (J. Sci. Comput., 2017)

An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws. - Bao-Shan Wang; Peng Li; Zhen Gao 002; Wai Sun Don (J. Comput. Phys., 2018)

Fast Iterative Adaptive Multi-quadric Radial Basis Function Method for Edges Detection of Piecewise Functions - I: Uniform Mesh. - Wai Sun Don; Bao-Shan Wang; Zhen Gao 002 (J. Sci. Comput., 2018)

High Order Positivity- and Bound-Preserving Hybrid Compact-WENO Finite Difference Scheme for the Compressible Euler Equations. - Peng Li; Wai-Sun Don; Cheng Wang; Zhen Gao 002 (J. Sci. Comput., 2018)

A Characteristic-wise Alternative WENO-Z Finite Difference Scheme for Solving the Compressible Multicomponent Non-reactive Flows in the Overestimated Quasi-conservative Form. - Wai Sun Don; Dong-Mei Li; Zhen Gao 002; Bao-Shan Wang (J. Sci. Comput., 2020)

An Edge Detector Based on Artificial Neural Network with Application to Hybrid Compact-WENO Finite Difference Scheme. - Xiao Wen; Wai Sun Don; Zhen Gao 002; Jan S. Hesthaven (J. Sci. Comput., 2020)

Entropy Stable and Well-Balanced Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations. - Xiao Wen; Wai Sun Don; Zhen Gao 002; Yulong Xing (J. Sci. Comput., 2020)

Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields. - Peng Li; Zhen Gao 002 (J. Comput. Phys., 2021)

A Robust High Order Alternative WENO Scheme for the Five-Equation Model. - Yaguang Gu; Zhen Gao 002; Guanghui Hu; Peng Li; Lifeng Wang (J. Sci. Comput., 2021)

High Order Finite Difference Alternative WENO Scheme for Multi-component Flows. - Yaguang Gu; Zhen Gao 002; Guanghui Hu; Peng Li; Lifeng Wang (J. Sci. Comput., 2021)

A reduced order method for nonlinear parameterized partial differential equations using dynamic mode decomposition coupled with k-nearest-neighbors regression. - Zhen Gao 002; Yifan Lin; Xiang Sun; Xueying Zeng (J. Comput. Phys., 2022)

A Dynamic Mode Decomposition Based Reduced-Order Model For Parameterized Time-Dependent Partial Differential Equations. - Yifan Lin; Zhen Gao 002; Yuanhong Chen; Xiang Sun (J. Sci. Comput., 2023)

High order well-balanced positivity-preserving scale-invariant AWENO scheme for Euler systems with gravitational field. - Yaguang Gu; Zhen Gao 002; Guanghui Hu; Peng Li; Qingcheng Fu (J. Comput. Phys., 2023)

A bound- and positivity-preserving discontinuous Galerkin method for solving the γ-based model. - Haiyun Wang; Hongqiang Zhu; Zhen Gao 002 (J. Comput. Phys., 2024)

Improved well-balanced AWENO schemes with hydrostatic reconstruction for the Euler equations under gravitational fields. - Qingcheng Fu; Zhen Gao 002; Yaguang Gu; Peng Li; Bao-Shan Wang (Math. Comput. Simul., 2024)

A coordinate transformation-based physics-informed neural networks for hyperbolic conservation laws. - Yuanhong Chen; Zhen Gao 002; Jan S. Hesthaven; Yifan Lin; Xiang Sun (J. Comput. Phys., 2025)

Tensor decomposition-based neural operator with dynamic mode decomposition for parameterized time-dependent problems. - Yuanhong Chen; Yifan Lin; Xiang Sun; Chunxin Yuan; Zhen Gao 002 (J. Comput. Phys., 2025)

A bound- and positivity-preserving path-conservative discontinuous Galerkin method for compressible two-medium flows. - Haiyun Wang; Hongqiang Zhu; Zhen Gao 002 (J. Comput. Phys., 2025)

An Enhanced Reduced-Order Model Based on Dynamic Mode Decomposition for Advection-Dominated Problems. - Yifan Lin; Zhen Gao 002 (J. Sci. Comput., 2025)

A Physical-constraint-preserving Quasi-conservative Discontinuous Galerkin Method for Solving Six-equation Model of Compressible Two-phase Flows. - Haiyun Wang; Hongqiang Zhu; Zhen Gao 002 (J. Sci. Comput., 2025)