Search Results

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

  Jialin Lou, Xiaodong Liu, Hong Luo, Hiroaki Nishikawa

  2019-01-10

  DOI:10.4208/cicp.OA-2017-0186

  51043 4087 pp. 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

  DOI:10.4208/cicp.OA-2020-0226

  47792 3143 pp. 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

  DOI:10.4208/cicp.OA-2020-0096

  45860 3336 pp. 1030-1058

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

  Yan Xu, Chi-Wang Shu

  2010-07-01

  DOI:10.4208/cicp.2009.09.023

  42255 4906 pp. 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

  DOI:10.4208/cicp.2018.hh80.13

  43382 3317 pp. 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

  DOI:10.4208/cicp.OA-2022-0299

  9635 584 pp. 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

  DOI:10.4208/cicp.OA-2018-0100

  49556 3195 pp. 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

  DOI:10.4208/cicp.OA-2018-0187

  48757 3373 pp. 631-653

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

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  DOI:10.4208/cicp.OA-2020-0119

  48592 3439 pp. 979-1029

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

  Jian Zhao, Huazhong Tang

  2017-09-02

  DOI:10.4208/cicp.OA-2016-0192

  41719 3353 pp. 643-682

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

  Wanai Li, Xiaoquan Gong

  2025-04-27

  DOI:10.4208/cicp.OA-2024-0128

  9307 549 pp. 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

  DOI:10.4208/cicp.060414.190914a

  40066 3032 pp. 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

  DOI:10.4208/cicp.OA-2017-0074

  67902 5550 pp. 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

  205 160 pp. 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 pp. 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

  DOI:10.4208/cicp.OA-2018-0071

  46256 5285 pp. 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

  DOI:10.4208/cicp.OA-2023-0015

  28928 2620 pp. 107-138

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

  Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang

  2020-07-21

  DOI:10.4208/cicp.OA-2019-0099

  48431 3334 pp. 927-966

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

  Jian Yu, Jan S. Hesthaven

  2020-05-06

  DOI:10.4208/cicp.OA-2019-0118

  54879 4082 pp. 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

  DOI:10.4208/cicp.190612.010313a

  40771 3998 pp. 1287-1303

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

  Ziqing Xie, Bo Wang, Zhimin Zhang

  2013-10-05

  DOI:10.4208/cicp.230412.271212a

  39515 4004 pp. 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

  DOI:10.4208/cicp.240815.301215a

  42647 4845 pp. 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

  DOI:10.4208/cicp.OA-2021-0126

  47991 3249 pp. 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

  DOI:10.4208/cicp.OA-2020-0027

  50986 3313 pp. 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

  DOI:10.4208/cicp.OA-2018-0069

  46929 3588 pp. 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

  DOI:10.4208/cicp.290114.170414a

  39660 4109 pp. 817-840

• Variations on Hermite Methods for Wave Propagation

  Arturo Vargas, Jesse Chan, Thomas Hagstrom, Timothy Warburton

  2018-04-09

  DOI:10.4208/cicp.260915.281116a

  42137 3436 pp. 303-337