Jue Yan

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All published works

Action	Title	Year	Authors
+	Direct Discontinuous Galerkin Method with Interface Correction for the Keller-Segel Chemotaxis Model	2024	Xinghui Zhong Changxin Qiu Jue Yan
+ PDF Chat	A Generalized Framework for Direct Discontinuous Galerkin Methods for Nonlinear Diffusion Equations	2023	Mustafa E. Danis Jue Yan
+	Superconvergence of Direct Discontinuous Galerkin Methods: Eigen-structure Analysis Based on Fourier Approach	2023	Xuechun Liu Haijin Wang Jue Yan Xinghui Zhong
+ PDF Chat	Cell-average based neural network method for third order and fifth order KdV type equations	2022	Yong‐Sheng Chen Jue Yan Xinghui Zhong
+	Cell-average based neural network method for high dimensional parabolic differential equations	2022	Hong Zhang Hongying Huang Jue Yan
+	A generalized framework for direct discontinuous Galerkin methods for nonlinear diffusion equations	2022	Mustafa Engin Danis Jue Yan
+ PDF Chat	A new direct discontinuous Galerkin method with interface correction for two-dimensional compressible Navier-Stokes equations	2021	Mustafa E. Danis Jue Yan
+	Superconvergence Study of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations	2021	Yuqing Miao Jue Yan Xinghui Zhong
+ PDF Chat	Third order positivity-preserving direct discontinuous Galerkin method with interface correction for chemotaxis Keller-Segel equations	2021	Changxin Qiu Qingyuan Liu Jue Yan
+	Accuracy and Architecture Studies of Residual Neural Network solving Ordinary Differential Equations	2021	Changxin Qiu Aaron Bendickson Joshua Kalyanapu Jue Yan
+	Cell-average based neural network method for hyperbolic and parabolic partial differential equations	2021	Changxin Qiu Jue Yan
+ PDF Chat	High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh	2020	Hongying Huang Jin Li Jue Yan
+	Fourier Type Super Convergence Study on DDGIC and Symmetric DDG Methods	2017	Mengping Zhang Jue Yan
+	Direct Discontinuous Galerkin Method and Its Variations for Second Order Elliptic Equations	2016	Hongying Huang Zheng Chen Jin Li Jue Yan
+	Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes	2015	Zheng Chen Hongying Huang Jue Yan
+	A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations	2012	Jue Yan
+	Fourier Type Error Analysis of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations	2011	Mengping Zhang Jue Yan
+	A local discontinuous Galerkin method for directly solving Hamilton–Jacobi equations	2010	Jue Yan Stanley Osher
+ PDF Chat	The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections	2010	Hailiang Liu Jue Yan
+	The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems	2009	Hailiang Liu Jue Yan
+	A local discontinuous Galerkin method for the Korteweg–de Vries equation with boundary effect	2005	Hailiang Liu Jue Yan
+	Local discontinuous Galerkin methods for nonlinear dispersive equations	2004	Doron Levy Chi‐Wang Shu Jue Yan
+	Local discontinuous Galerkin methods for partial differential equations with higher order derivatives	2002	Jue Yan Chi‐Wang Shu
+	A Local Discontinuous Galerkin Method for KdV Type Equations	2002	Jue Yan Chi‐Wang Shu
+	None	2002	Jue Yan Chi‐Wang Shu

Common Coauthors

Coauthor	Papers Together
Xinghui Zhong	4
Hongying Huang	4
Changxin Qiu	4
Chi‐Wang Shu	4
Hailiang Liu	2
Jin Li	2
Zheng Chen	2
Mustafa E. Danis	2
Mengping Zhang	2
Haijin Wang	1
Xuechun Liu	1
Stanley Osher	1
Hailiang Liu	1
Joshua Kalyanapu	1
Mustafa Engin Danis	1
Yuqing Miao	1
Doron Levy	1
Aaron Bendickson	1
Hong Zhang	1
Qingyuan Liu	1
Yong‐Sheng Chen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Efficient implementation of essentially non-oscillatory shock-capturing schemes	1988	Chi‐Wang Shu Stanley Osher	17
+ PDF Chat	The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems	1998	Bernardo Cockburn Chi‐Wang Shu	15
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher	14
+ PDF Chat	The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections	2010	Hailiang Liu Jue Yan	12
+	The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems	2009	Hailiang Liu Jue Yan	12
+	Runge-Kutta discontinuous Galerkin methods for convection-dominated problems	2000	Bernardo Cockburn Chi‐Wang Shu	9
+ PDF Chat	A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations	2013	Chad Vidden and Jue Yan	9
+	Fourier Type Super Convergence Study on DDGIC and Symmetric DDG Methods	2017	Mengping Zhang Jue Yan	7
+	Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes	2015	Zheng Chen Hongying Huang Jue Yan	7
+	A Local Discontinuous Galerkin Method for KdV Type Equations	2002	Jue Yan Chi‐Wang Shu	7
+ PDF Chat	TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems	1989	Bernardo Cockburn San‐Yih Lin Chi‐Wang Shu	7
+	The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V	1998	Bernardo Cockburn Chi‐Wang Shu	7
+	A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations	2012	Jue Yan	6
+ PDF Chat	Advanced Numerical Approximation of Nonlinear Hyperbolic Equations	1998	Bernardo Cockburn Chi‐Wang Shu Claes Johnson Eitan Tadmor	6
+ PDF Chat	Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems	2002	Douglas N. Arnold Franco Brezzi Bernardo Cockburn L. D. Marini	6
+ PDF Chat	The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case	1990	Bernardo Cockburn Suchung Hou Chi‐Wang Shu	5
+	Triangular mesh methods for the neutron transport equation	1973	W.H. Reed T.R. Hill	5
+	Superconvergence of the direct discontinuous Galerkin method for convection‐diffusion equations	2016	Waixiang Cao Hailiang Liu Zhimin Zhang	5
+ PDF Chat	A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives	2007	Yingda Cheng Chi‐Wang Shu	5
+	AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS	2003	Mengping Zhang Chi‐Wang Shu	5
+ PDF Chat	Discontinuous Galerkin for Diffusion	2005	Bram van Leer Shohei Nomura	4
+ PDF Chat	TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework	1989	Bernardo Cockburn Chi‐Wang Shu	4
+	A NEW DIRECT DISCONTINUOUS GALERKIN METHOD WITH SYMMETRIC STRUCTURE FOR NONLINEAR DIFFUSION EQUATIONS	2013	Chad Vidden Jue Yan	4
+	Superconvergence of local discontinuous Galerkin methods for one-dimensional convection–diffusion equations	2009	Yingda Cheng Chi‐Wang Shu	4
+	Superconvergence and time evolution of discontinuous Galerkin finite element solutions	2008	Yingda Cheng Chi‐Wang Shu	4
+	A constrained integration (CINT) approach to solving partial differential equations using artificial neural networks	2014	Keith Rudd Silvio Ferrari	3
+	New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model	2008	Yekaterina Epshteyn Alexander Kurganov	3
+	Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection–diffusion equations on triangular meshes	2012	Yifan Zhang Xiangxiong Zhang Chi‐Wang Shu	3
+	Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach	2012	Wei Guo Xinghui Zhong Jing‐Mei Qiu	3
+	Variational training of neural network approximations of solution maps for physical models	2020	Yingzhou Li Jianfeng Lu Anqi Mao	3
+	DGM: A deep learning algorithm for solving partial differential equations	2018	Justin Sirignano Konstantinos Spiliopoulos	3
+ PDF Chat	Deep Neural Networks Motivated by Partial Differential Equations	2019	Lars Ruthotto Eldad Haber	3
+	Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model	2017	Xingjie Helen Li Chi‐Wang Shu Yang Yang	3
+	Numerical resolution of discontinuous Galerkin methods for time dependent wave equations	2011	Xinghui Zhong Chi‐Wang Shu	3
+ PDF Chat	High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh	2020	Hongying Huang Jin Li Jue Yan	3
+	Local discontinuous Galerkin methods for nonlinear dispersive equations	2004	Doron Levy Chi‐Wang Shu Jue Yan	3
+	None	2002	Bernardo Cockburn Clint Dawson	3
+	Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments	2013	Chi‐Wang Shu	3
+	Fourier Type Error Analysis of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations	2011	Mengping Zhang Jue Yan	3
+	Local discontinuous Galerkin methods for nonlinear Schrödinger equations	2004	Yan Xu Chi‐Wang Shu	3
+	Chemotactic collapse for the Keller-Segel model	1996	Miguel A. Herrero Juan J. L. Velázquez	2
+	Fractional step methods applied to a chemotaxis model	2000	Rebecca C. Tyson L. G. Stern Randall J. LeVeque	2
+	Local discontinuous Galerkin methods for partial differential equations with higher order derivatives	2002	Jue Yan Chi‐Wang Shu	2
+	A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models	2008	Alina Chertock Alexander Kurganov	2
+ PDF Chat	An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations	2008	Ralf Hartmann Paul Houston	2
+	Compatible algorithms for coupled flow and transport	2004	Clint Dawson Shuyu Sun Mary F. Wheeler	2
+	Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations	2015	Waixiang Cao Zhimin Zhang	2
+ PDF Chat	Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis	2011	Norikazu Saito	2
+	Discontinuous Galerkin methods	2003	Bernardo Cockburn	2
+	Finite-time aggregation into a single point in a reaction - diffusion system	1997	Miguel A. Herrero Елена Медина Juan J. L. Velázquez	2