Discontinuous Galerkin method for one- dimensional nonconservative equations

A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.866233 ◽

2014 ◽

Vol 91 (9) ◽

pp. 2021-2038 ◽

Cited By ~ 10

Author(s):

Xindong Zhang ◽

Yinnian He ◽

Leilei Wei ◽

Bo Tang ◽

Shaoli Wang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Fisher’S Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fisher's Equation

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Hermite WENO schemes and their application as limiters for Runge–Kutta discontinuous Galerkin method: one-dimensional case

Journal of Computational Physics ◽

10.1016/j.jcp.2003.07.026 ◽

2004 ◽

Vol 193 (1) ◽

pp. 115-135 ◽

Cited By ~ 200

Author(s):

Jianxian Qiu ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Dimensional Case ◽

Weno Schemes ◽

One Dimensional ◽

Runge Kutta

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An adaptive high-order discontinuous Galerkin method with error control for the Hamilton–Jacobi equations. Part I: The one-dimensional steady state case

Journal of Computational Physics ◽

10.1016/j.jcp.2007.05.003 ◽

2007 ◽

Vol 226 (1) ◽

pp. 1027-1058 ◽

Cited By ~ 2

Author(s):

Yanlai Chen ◽

Bernardo Cockburn

Keyword(s):

Steady State ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Error Control ◽

High Order ◽

One Dimensional ◽

The One ◽

Jacobi Equations ◽

State Case

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On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem

Journal of Scientific Computing ◽

10.1007/s10915-020-01335-5 ◽

2020 ◽

Vol 85 (2) ◽

Author(s):

P. Castillo ◽

S. Gómez

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Problem ◽

One Dimensional ◽

Local Discontinuous Galerkin

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Entropic regularization of Discontinuous Galerkin method in one-dimensional problems of gas dynamics

Keldysh Institute Preprints ◽

10.20948/prepr-2018-100 ◽

2018 ◽

pp. 1-22 ◽

Cited By ~ 4

Author(s):

Yury Anatolievich Kriksin ◽

Vladimir Fedorovich Tishkin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Gas Dynamics ◽

One Dimensional ◽

Entropic Regularization

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A Discontinuous Galerkin Method with Penalty for One-Dimensional Nonlocal Diffusion Problems

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-019-00024-x ◽

2019 ◽

Vol 2 (1) ◽

pp. 31-55 ◽

Cited By ~ 1

Author(s):

Qiang Du ◽

Lili Ju ◽

Jianfang Lu ◽

Xiaochuan Tian

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nonlocal Diffusion ◽

One Dimensional ◽

Diffusion Problems

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A New Multiscale Discontinuous Galerkin Method for the One-Dimensional Stationary Schrödinger Equation

Journal of Scientific Computing ◽

10.1007/s10915-015-0022-7 ◽

2015 ◽

Vol 66 (1) ◽

pp. 321-345 ◽

Cited By ~ 5

Author(s):

Bo Dong ◽

Chi-Wang Shu ◽

Wei Wang

Keyword(s):

Schrödinger Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Schrodinger Equation ◽

Stationary Schrödinger Equation ◽

One Dimensional ◽

The One

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Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations

Journal of Scientific Computing ◽

10.1007/s10915-017-0362-6 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 1290-1315 ◽

Cited By ~ 6

Author(s):

Lingling Zhou ◽

Yan Xu ◽

Zhimin Zhang ◽

Waixiang Cao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

One Dimensional ◽

Local Discontinuous Galerkin

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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 ◽

Cited By ~ 2

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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A Discontinuous Galerkin Method for the Solution of One Dimensional Radiative Transfer Equation

2018 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) ◽

10.1109/usnc-ursi.2018.8602580 ◽

2018 ◽

Cited By ~ 1

Author(s):

P.L. Clarke ◽

H. Wang ◽

J. Garrard ◽

R. Abedi ◽

S. Mudaliar

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transfer Equation ◽

Radiative Transfer Equation ◽

One Dimensional

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