The Weak Galerkin Method for Linear Hyperbolic Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2017-0052 ◽

2018 ◽

Vol 24 (1) ◽

Author(s):

Qilong Zhai ◽

Ran Zhang ◽

Nolisa Malluwawadu ◽

Saqib Hussain

Keyword(s):

Galerkin Method ◽

Hyperbolic Equation ◽

Weak Galerkin ◽

Linear Hyperbolic Equation

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Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data

Numerische Mathematik ◽

10.1007/s00211-013-0573-1 ◽

2013 ◽

Vol 126 (4) ◽

pp. 703-740 ◽

Author(s):

Qiang Zhang ◽

Chi-Wang Shu

Keyword(s):

Initial Data ◽

Galerkin Method ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

One Dimension ◽

Third Order ◽

Linear Hyperbolic Equation ◽

The Third ◽

Discontinuous Initial Data

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Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Method with Upwind-Biased Numerical Flux for Two-Dimensional Linear Hyperbolic Equation

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00116-z ◽

2021 ◽

Author(s):

Yuan Xu ◽

Qiang Zhang

Keyword(s):

Galerkin Method ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional ◽

Linear Hyperbolic Equation ◽

Numerical Flux ◽

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A Taylor matrix method for the solution of a two-dimensional linear hyperbolic equation

Applied Mathematics Letters ◽

10.1016/j.aml.2011.04.026 ◽

2011 ◽

Vol 24 (10) ◽

pp. 1716-1720 ◽

Author(s):

Berna Bülbül ◽

Mehmet Sezer

Keyword(s):

Hyperbolic Equation ◽

Matrix Method ◽

Two Dimensional ◽

Linear Hyperbolic Equation

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A uniqueness theorem for statistical solutions of a certain non-linear hyperbolic equation

Russian Mathematical Surveys ◽

10.1070/rm1983v038n06abeh003463 ◽

1983 ◽

Vol 38 (6) ◽

pp. 129-130

Author(s):

S I Sobolev

Keyword(s):

Hyperbolic Equation ◽

Uniqueness Theorem ◽

Linear Hyperbolic Equation ◽

Statistical Solutions

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An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions

Applied Mathematics and Computation ◽

10.1016/s0096-3003(03)00595-2 ◽

2004 ◽

Vol 152 (3) ◽

pp. 799-806 ◽

Author(s):

R.K. Mohanty

Keyword(s):

Difference Scheme ◽

Hyperbolic Equation ◽

Operator Splitting ◽

Splitting Method ◽

Variable Coefficients ◽

Unconditionally Stable ◽

Linear Hyperbolic Equation ◽

Operator Splitting Method ◽

Two Space Dimensions

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Multi-level Monte Carlo weak Galerkin method with nested meshes for stochastic Brinkman problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.08.022 ◽

2018 ◽

Vol 330 ◽

pp. 214-227 ◽

Author(s):

Yongle Hao ◽

Xiaoshen Wang ◽

Kai Zhang

Keyword(s):

Monte Carlo ◽

Galerkin Method ◽

Weak Galerkin ◽

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Exact boundary controllability of a first order, non-linear hyperbolic equation with non-local integral terms arising in epidemic modeling

Direct and Inverse Problems of Mathematical Physics - International Society for Analysis, Applications and Computation ◽

10.1007/978-1-4757-3214-6_22 ◽

2000 ◽

pp. 363-398 ◽

Author(s):

Irena Lasiecka ◽

Roberto Triggiani

Keyword(s):

Hyperbolic Equation ◽

Epidemic Modeling ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Linear Hyperbolic Equation ◽

First Order ◽

Local Integral ◽

Exact Boundary ◽

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Element-free Galerkin (EFG) method for a kind of two-dimensional linear hyperbolic equation

Chinese Physics B ◽

10.1088/1674-1056/18/10/001 ◽

2009 ◽

Vol 18 (10) ◽

pp. 4059-4064 ◽

Author(s):

Cheng Rong-Jun ◽

Ge Hong-Xia

Keyword(s):

Hyperbolic Equation ◽

Two Dimensional ◽

Linear Hyperbolic Equation ◽

Element Free Galerkin ◽

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An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation

Mathematics of Computation ◽

10.1090/s0025-5718-1986-0815828-4 ◽

1986 ◽

Vol 46 (173) ◽

pp. 1-1 ◽

Author(s):

C. Johnson ◽

J. Pitk{äranta

Keyword(s):

Galerkin Method ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method

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A Weak Galerkin Method with $C^0$ Element for Forth Order Linear Parabolic Equation

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0028 ◽

2019 ◽

Vol 11 (2) ◽

pp. 467-485

Author(s):

Shimin Chai

Keyword(s):

Parabolic Equation ◽

Galerkin Method ◽

Linear Parabolic Equation ◽

Weak Galerkin ◽

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