Higher-order accurate Runge-Kutta discontinuous Galerkin methods for
a nonlinear Dirac model

Sihong Shao;  ; Huazhong Tang

doi:10.3934/dcdsb.2006.6.623

Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2006.6.623 ◽

2006 ◽

Vol 6 (3) ◽

pp. 623-640 ◽

Cited By ~ 20

Author(s):

Sihong Shao ◽

◽

Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Runge Kutta

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WEIGHTED NON-OSCILLATORY LIMITERS FOR RUNGE-KUTTA DISCONTINUOUS GALERKIN METHODS

Advances in Computational Fluid Dynamics - Adaptive High-Order Methods in Computational Fluid Dynamics ◽

10.1142/9789814313193_0006 ◽

2011 ◽

pp. 153-184

Author(s):

Jianxian Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Runge Kutta

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Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions

Geometric Analysis and Nonlinear Partial Differential Equations ◽

10.1007/978-3-642-55627-2_30 ◽

2003 ◽

pp. 573-589 ◽

Cited By ~ 3

Author(s):

A. Dedner ◽

D. Kröner ◽

C. Rohde ◽

T. Schnitzer ◽

M. Wesenberg

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Systems Of Conservation Laws

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Adaptive Runge-Kutta Discontinuous Galerkin Methods with Modified Ghost Fluid Method for Simulating the Compressible Two-Medium Flow

Journal of Mathematical Study ◽

10.4208/jms.v47n3.14.02 ◽

2014 ◽

Vol 47 (3) ◽

pp. 250-273 ◽

Cited By ~ 1

Author(s):

J. Zhu and J. Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Ghost Fluid Method ◽

Medium Flow ◽

Runge Kutta ◽

Modified Ghost Fluid Method

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Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media

Lecture Notes in Computational Science and Engineering - Challenges in Scientific Computing - CISC 2002 ◽

10.1007/978-3-642-19014-8_1 ◽

2003 ◽

pp. 1-22 ◽

Cited By ~ 18

Author(s):

Peter Bastian

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Flow And Transport ◽

Transport In Porous Media

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Runge–Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2013.02.018 ◽

2013 ◽

Vol 242 ◽

pp. 138-168 ◽

Cited By ~ 20

Author(s):

Jian Zhao ◽

Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Relativistic Hydrodynamics ◽

Runge Kutta

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A Generic Stabilization Approach for Higher Order Discontinuous Galerkin Methods for Convection Dominated Problems

Journal of Scientific Computing ◽

10.1007/s10915-010-9448-0 ◽

2010 ◽

Vol 47 (3) ◽

pp. 365-388 ◽

Cited By ~ 11

Author(s):

Andreas Dedner ◽

Robert Klöfkorn

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Convection Dominated

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A Compact Subcell WENO Limiting Strategy Using Immediate Neighbors for Runge-Kutta Discontinuous Galerkin Methods for Unstructured Meshes

Journal of Scientific Computing ◽

10.1007/s10915-021-01725-3 ◽

2021 ◽

Vol 90 (1) ◽

Author(s):

S. R. Siva Prasad Kochi ◽

M. Ramakrishna

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Unstructured Meshes ◽

Galerkin Methods ◽

Runge Kutta

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Local discontinuous Galerkin methods with explicit Runge-Kutta time marching for nonlinear carburizing model

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4898 ◽

2018 ◽

Vol 41 (12) ◽

pp. 4376-4390 ◽

Cited By ~ 2

Author(s):

Chenghui Xia ◽

Ying Li ◽

Haijin Wang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Time Marching ◽

Runge Kutta

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High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.03.013 ◽

2020 ◽

Vol 153 ◽

pp. 519-539

Author(s):

Jun Zhu ◽

Chi-Wang Shu ◽

Jianxian Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Galerkin Methods ◽

Triangular Meshes ◽

New Type ◽

Runge Kutta

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Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows

Computers & Fluids ◽

10.1016/j.compfluid.2013.11.030 ◽

2014 ◽

Vol 96 ◽

pp. 377-396 ◽

Cited By ~ 20

Author(s):

Jin Seok Park ◽

Chongam Kim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Viscous Flows ◽

Higher Order ◽

Galerkin Methods

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