Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives. - Jue Yan; Chi-Wang Shu (J. Sci. Comput., 2002)

A Local Discontinuous Galerkin Method for KdV Type Equations. - Jue Yan; Chi-Wang Shu (SIAM J. Numer. Anal., 2002)

A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect. - Hailiang Liu; Jue Yan (J. Comput. Phys., 2006)

The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems. - Hailiang Liu; Jue Yan (SIAM J. Numer. Anal., 2008)

A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations. - Jue Yan; Stanley J. Osher (J. Comput. Phys., 2011)

Fourier Type Error Analysis of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations. - Mengping Zhang; Jue Yan (J. Sci. Comput., 2012)

A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations. - Jue Yan (J. Sci. Comput., 2013)

Fourier Type Super Convergence Study on DDGIC and Symmetric DDG Methods. - Mengping Zhang; Jue Yan (J. Sci. Comput., 2017)

High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh. - Hongying Huang; Jin Li 010; Jue Yan (J. Comput. Phys., 2020)

Accuracy and Architecture Studies of Residual Neural Network solving Ordinary Differential Equations. - Changxin Qiu; Aaron Bendickson; Joshua Kalyanapu; Jue Yan (CoRR, 2021)

Cell-average based neural network method for hyperbolic and parabolic partial differential equations. - Changxin Qiu; Jue Yan (CoRR, 2021)

Third order positivity-preserving direct discontinuous Galerkin method with interface correction for chemotaxis Keller-Segel equations. - Changxin Qiu; Qingyuan Liu; Jue Yan (J. Comput. Phys., 2021)

Cell-average based neural network method for high dimensional parabolic differential equations. - Hong Zhang; Hongying Huang; Jue Yan (CoRR, 2022)

Cell-average based neural network method for third order and fifth order KdV type equations. - Yongsheng Chen; Jue Yan; Xinghui Zhong (Frontiers Appl. Math. Stat., 2022)

A new direct discontinuous Galerkin method with interface correction for two-dimensional compressible Navier-Stokes equations. - Mustafa E. Danis; Jue Yan (J. Comput. Phys., 2022)

Accuracy and Architecture Studies of Residual Neural Network Method for Ordinary Differential Equations. - Changxin Qiu; Aaron Bendickson; Joshua Kalyanapu; Jue Yan (J. Sci. Comput., 2023)

A Generalized Framework for Direct Discontinuous Galerkin Methods for Nonlinear Diffusion Equations. - Mustafa Engin Danis; Jue Yan (J. Sci. Comput., 2023)

Direct Discontinuous Galerkin Method with Interface Correction for the Keller-Segel Chemotaxis Model. - Xinghui Zhong; Changxin Qiu; Jue Yan (J. Sci. Comput., 2024)