Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions

SIAM Journal on Scientific Computing ◽

10.1137/18m1199496 ◽

2019 ◽

Vol 41 (3) ◽

pp. A1626-A1651 ◽

Author(s):

Zhanjing Tao ◽

Anqi Chen ◽

Mengping Zhang ◽

Yingda Cheng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Systems ◽

Sparse Grid ◽

High Dimensions ◽

Central Discontinuous Galerkin

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An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110294 ◽

2021 ◽

pp. 110294

Author(s):

Wei Guo ◽

Juntao Huang ◽

Zhanjing Tao ◽

Yingda Cheng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Sparse Grid ◽

High Dimensions ◽

Local Discontinuous Galerkin ◽

Jacobi Equations

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A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations

SIAM Journal on Scientific Computing ◽

10.1137/16m1060017 ◽

2016 ◽

Vol 38 (6) ◽

pp. A3381-A3409 ◽

Author(s):

Wei Guo ◽

Yingda Cheng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transport Equations ◽

Sparse Grid ◽

High Dimensional

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A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0248 ◽

2021 ◽

Vol 30 (4) ◽

pp. 1009-1036

Author(s):

global sci

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transfer Equation ◽

Radiative Transfer Equation ◽

Sparse Grid ◽

Discrete Ordinate

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A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.06.033 ◽

2019 ◽

Vol 345 ◽

pp. 374-387 ◽

Author(s):

Aimin Chen ◽

Maojun Li

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Positivity Preserving ◽

One Dimensional ◽

Nonlinear Shallow Water Equations ◽

The One ◽

Central Discontinuous Galerkin

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An upwind-like discontinuous Galerkin method for hyperbolic systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.02.076 ◽

2013 ◽

Vol 219 (16) ◽

pp. 8610-8621

Author(s):

Tie Zhang ◽

Shun Yu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Systems

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A hybrid Hermite–discontinuous Galerkin method for hyperbolic systems with application to Maxwellʼs equations

Journal of Computational Physics ◽

10.1016/j.jcp.2013.09.046 ◽

2014 ◽

Vol 257 ◽

pp. 501-520 ◽

Author(s):

Xi (Ronald) Chen ◽

Daniel Appelö ◽

Thomas Hagstrom

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Systems

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A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0329-z ◽

2016 ◽

Vol 71 (3) ◽

pp. 994-1034 ◽

Author(s):

Maojun Li ◽

Philippe Guyenne ◽

Fengyan Li ◽

Liwei Xu

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Positivity Preserving ◽

Nonlinear Shallow Water Equations ◽

Central Discontinuous Galerkin

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A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations

Journal of Scientific Computing ◽

10.1007/s10915-009-9340-y ◽

2009 ◽

Vol 45 (1-3) ◽

pp. 404-428 ◽

Author(s):

Fengyan Li ◽

Sergey Yakovlev

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Jacobi Equations ◽

Central Discontinuous Galerkin

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A SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR FIRST ORDER HYPERBOLIC SYSTEMS

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2014.51.4.665 ◽

2014 ◽

Vol 51 (4) ◽

pp. 665-678

Author(s):

Tie Zhang ◽

Jingna Liu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Systems ◽

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On the Convergence of a Shock Capturing Discontinuous Galerkin Method for Nonlinear Hyperbolic Systems of Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/14096503x ◽

2016 ◽

Vol 54 (2) ◽

pp. 874-898 ◽

Author(s):

Mohammad Zakerzadeh ◽

Georg May

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Systems ◽

Shock Capturing ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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