Search Results

• Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

  Jialin Lou, Xiaodong Liu, Hong Luo, Hiroaki Nishikawa

  2019-01-10

  51043 4087 Pages:1302-1327

• Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

  Shu-Cun Li, Huazhong Tang

  2021-08-10

  47791 3143 Pages:1150-1184

• High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

  Jun Zhu, Chi-Wang Shu, Jianxian Qiu

  2021-02-25

  45859 3336 Pages:1030-1058

• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

  Yan Xu, Chi-Wang Shu

  2010-07-01

  42255 4906 Pages:1-46 Open-access

• Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

  Chijie Zhuang, Mengmin Huang, Rong Zeng

  2020-07-31

  43381 3317 Pages:1259-1278

• A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

  Jinyang Lu, Qi Tao, Yan Xu

  2025-04-27

  9626 581 Pages:975-1007

• Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

  Ruihan Guo, Yan Xu

  2019-07-02

  49555 3194 Pages:1224-1248

• Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

  Yong Liu, Qingyuan Liu, Yuan Liu, Chi-Wang Shu, Mengping Zhang

  2019-04-28

  48754 3372 Pages:631-653

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48592 3439 Pages:979-1029

• Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics

  Jian Zhao, Huazhong Tang

  2017-09-02

  41719 3353 Pages:643-682

• The $p$-Weighted Limiter for Nodal Discontinuous Galerkin Methods on Two Dimensional Mixed Grids

  Wanai Li, Xiaoquan Gong

  2025-04-27

  9306 549 Pages:1085-1119

• Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

  X. Liang, A. Q. M. Khaliq, Y. Xing

  2020-07-30

  40066 3032 Pages:510-541

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo, Yan Xu

  2018-09-17

  67899 5549 Pages:123-151

• A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

  Kaixin Wang, Hong Wang, Mohamed Al-Lawatia, Hongxing Rui

  2009-06-01

  202 159 Pages:203-230

• Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

  Sigal Gottlieb, Jae-Hun Jung

  2018-04-11

  41169 3627 Pages:600-619

• Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

  Maria Han Veiga, David A. Velasco-Romero, Remi Abgrall, Romain Teyssier

  2019-02-25

  46255 5284 Pages:1-34

• An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

  Xiaolong Zhao, Shicang Song, Xijun Yu, Shijun Zou, Fang Qing

  2024-01-31

  28925 2617 Pages:107-138

• Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

  Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang

  2020-07-21

  48430 3334 Pages:927-966

• A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework

  Jian Yu, Jan S. Hesthaven

  2020-05-06

  54878 4082 Pages:1309-1343

• Weighted Interior Penalty Method with Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation

  Rongpei Zhang, Xijun Yu, Jiang Zhu, Abimael F. D. Loula, Xia Cui

  2013-11-05

  40771 3998 Pages:1287-1303

• Space-Time Discontinuous Galerkin Method for Maxwell's Equations

  Ziqing Xie, Bo Wang, Zhimin Zhang

  2013-10-05

  39513 4004 Pages:916-939

• A Posteriori Error Estimates for Conservative Local Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

  Ohannes Karakashian, Yulong Xing

  2018-04-04

  42647 4845 Pages:250-278

• High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

  Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu

  2022-03-03

  47991 3248 Pages:771-815

• Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

  Qian Zhang, Yan Xu, Chi-Wang Shu

  2021-05-25

  50986 3313 Pages:321-356

• Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

  Walter Boscheri, Matteo Semplice, Michael Dumbser

  2018-10-11

  46928 3586 Pages:311-346

• Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations

  E. Ferrer, D. Moxey, R. H. J. Willden, S. J. Sherwin

  2014-12-08

  39660 4109 Pages:817-840

• Variations on Hermite Methods for Wave Propagation

  Arturo Vargas, Jesse Chan, Thomas Hagstrom, Timothy Warburton

  2018-04-09

  42137 3436 Pages:303-337