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

Mengjiao Jiao

doi:10.4208/cicp.oa-2019-0099

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

Communications in Computational Physics ◽

10.4208/cicp.oa-2019-0099 ◽

2020 ◽

Vol 28 (3) ◽

pp. 927-966

Author(s):

Mengjiao Jiao

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Vries Equation ◽

Galerkin Methods ◽

De Vries ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/16m1070001 ◽

2016 ◽

Vol 38 (6) ◽

pp. A3720-A3740 ◽

Cited By ~ 10

Author(s):

Maojun Li ◽

Fengyan Li ◽

Zhen Li ◽

Liwei Xu

Keyword(s):

Maximum Principle ◽

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Conservation Laws ◽

Galerkin Methods ◽

Positivity Preserving ◽

Hyperbolic Conservation ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations

Journal of Computational Science ◽

10.1016/j.jocs.2012.05.002 ◽

2013 ◽

Vol 4 (1-2) ◽

pp. 80-91 ◽

Cited By ~ 16

Author(s):

Sergey Yakovlev ◽

Liwei Xu ◽

Fengyan Li

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Ideal Mhd ◽

Divergence Free ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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PHYSICAL-CONSTRAINT-PRESERVING CENTRAL DISCONTINUOUS GALERKIN METHODS FOR SPECIAL RELATIVISTIC HYDRODYNAMICS WITH A GENERAL EQUATION OF STATE

The Astrophysical Journal Supplement Series ◽

10.3847/1538-4365/228/1/3 ◽

2016 ◽

Vol 228 (1) ◽

pp. 3 ◽

Cited By ~ 16

Author(s):

Kailiang Wu ◽

Huazhong Tang

Keyword(s):

Equation Of State ◽

Discontinuous Galerkin ◽

General Equation ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Relativistic Hydrodynamics ◽

Physical Constraint ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation

Mathematics of Computation ◽

10.1090/s0025-5718-2014-02878-0 ◽

2014 ◽

Vol 84 (293) ◽

pp. 1145-1167 ◽

Cited By ~ 6

Author(s):

Ohannes Karakashian ◽

Charalambos Makridakis

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Vries Equation ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error ◽

De Vries

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Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction

SIAM Journal on Numerical Analysis ◽

10.1137/060666974 ◽

2007 ◽

Vol 45 (6) ◽

pp. 2442-2467 ◽

Cited By ~ 76

Author(s):

Yingjie Liu ◽

Chi-Wang Shu ◽

Eitan Tadmor ◽

Mengping Zhang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/16m1089484 ◽

2018 ◽

Vol 56 (1) ◽

pp. 520-541 ◽

Cited By ~ 3

Author(s):

Yong Liu ◽

Chi-Wang Shu ◽

Mengping Zhang

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Equations ◽

Optimal Error Estimates ◽

Galerkin Methods ◽

Optimal Error ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods ◽

Linear Hyperbolic Equations

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Well-Balanced Central Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations

Advances in Applied Mathematics ◽

10.12677/aam.2017.64071 ◽

2017 ◽

Vol 06 (04) ◽

pp. 611-618

Author(s):

爱敏陈

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Shallow Water Equations ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation

Mathematics of Computation ◽

10.1090/s0025-5718-2013-02661-0 ◽

2013 ◽

Vol 82 (283) ◽

pp. 1401-1432 ◽

Cited By ~ 58

Author(s):

J. L. Bona ◽

H. Chen ◽

O. Karakashian ◽

Y. Xing

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Vries Equation ◽

Galerkin Methods ◽

De Vries

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Central Discontinuous Galerkin Methods on Overlapping Cells with a Non-Oscillatory Hierarchical Reconstruction

10.21236/ada455685 ◽

2006 ◽

Author(s):

Yingjie Liu ◽

Chi-Wang Shu ◽

Eitan Tadmor ◽

Mengping Zhang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field

Journal of Computational Physics ◽

10.1016/j.jcp.2011.03.006 ◽

2011 ◽

Vol 230 (12) ◽

pp. 4828-4847 ◽

Cited By ~ 55

Author(s):

Fengyan Li ◽

Liwei Xu ◽

Sergey Yakovlev

Keyword(s):

Magnetic Field ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Ideal Mhd ◽

Divergence Free ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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