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A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

Communications in computational physics, 2023, Vol.33 (5), p.1270-1331

2023

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High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

Communications in computational physics, 2022-03, Vol.31 (3), p.771-815

2022

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Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension

Mathematics of computation, 2017-05, Vol.86 (305), p.1203-1232

2017

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Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes

Mathematics of computation, 2019-09, Vol.88 (319), p.2221-2255

2019

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An efficient fully-discrete local discontinuous Galerkin method for the Cahn–Hilliard–Hele–Shaw system

Journal of computational physics, 2014-05, Vol.264, p.23-40

2014

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High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

Communications in computational physics, 2019, Vol.26 (5), p.1530-1574

2019

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Local discontinuous Galerkin methods for the Cahn–Hilliard type equations

Journal of computational physics, 2007-11, Vol.227 (1), p.472-491

2007

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Steady-state simulation of Euler equations by the discontinuous Galerkin method with the hybrid limiter

Journal of computational physics, 2024-10, Vol.515, p.113288, Article 113288

2024

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An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws

Journal of computational physics, 2024-02, Vol.498, p.112676, Article 112676

2024

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A hybrid WENO scheme for steady-state simulations of Euler equations

Journal of computational physics, 2022-08, Vol.463, p.111292, Article 111292

2022

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The positivity preserving property on the high order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for Euler equations

Journal of computational physics, 2022-12, Vol.470, p.111600, Article 111600

2022

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Local discontinuous Galerkin methods for the generalized Zakharov system

Journal of computational physics, 2010-02, Vol.229 (4), p.1238-1259

2010

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Application of local discontinuous Galerkin method to Einstein equations

International journal of modern physics. D, Gravitation, astrophysics, cosmology, 2019-01, Vol.28 (1), p.1950014

2019

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A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection

Journal of computational physics, 2015-01, Vol.280, p.248-260

Xia, Yinhua

2015

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Discontinuous Galerkin Method Based on the Reduced Space for the Nonlinear Convection–Diffusion–Reaction Equation

Journal of scientific computing, 2024-04, Vol.99 (1), p.19, Article 19

2024

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Discontinuous Galerkin methods for short pulse type equations via hodograph transformations

Journal of computational physics, 2019-12, Vol.399, p.108928, Article 108928

2019

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Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Method for Hyperbolic Equations Involving $\delta$-Singularities

SIAM journal on numerical analysis, 2020-01, Vol.58 (1), p.125-152

2020

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Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations

Journal of computational and applied mathematics, 2019-08, Vol.356, p.198-218

2019

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The jump filter in the discontinuous Galerkin method for hyperbolic conservation laws

Journal of computational physics, 2025-01, Vol.520, p.113498, Article 113498

2025

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Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations

Journal of computational physics, 2025-01, Vol.520, p.113473, Article 113473

2025

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Arbitrary Lagrangian–Eulerian Local Discontinuous Galerkin Method for Linear Convection–Diffusion Equations

Journal of scientific computing, 2022, Vol.90 (1), p.21, Article 21

2022

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Fourier Spectral Methods for Degasperis–Procesi Equation with Discontinuous Solutions

Journal of scientific computing, 2014-12, Vol.61 (3), p.584-603

Xia, Yinhua

2014

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Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations

Journal of computational physics, 2023-01, Vol.473, p.111758, Article 111758

2023

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Discontinuous Galerkin Methods for the Ostrovsky–Vakhnenko Equation

Journal of scientific computing, 2020-02, Vol.82 (2), p.24, Article 24

2020

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A New Hybrid WENO Scheme with the High-Frequency Region for Hyperbolic Conservation Laws

Communications on Applied Mathematics and Computation (Online), 2023-03, Vol.5 (1), p.199-234

2023

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A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension

Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes

An efficient fully-discrete local discontinuous Galerkin method for the Cahn–Hilliard–Hele–Shaw system

High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

Local discontinuous Galerkin methods for the Cahn–Hilliard type equations

Steady-state simulation of Euler equations by the discontinuous Galerkin method with the hybrid limiter

An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws

A hybrid WENO scheme for steady-state simulations of Euler equations

The positivity preserving property on the high order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for Euler equations

Local discontinuous Galerkin methods for the generalized Zakharov system

Application of local discontinuous Galerkin method to Einstein equations

A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection

Discontinuous Galerkin Method Based on the Reduced Space for the Nonlinear Convection–Diffusion–Reaction Equation

Discontinuous Galerkin methods for short pulse type equations via hodograph transformations

Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Method for Hyperbolic Equations Involving $\delta$-Singularities

Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations

The jump filter in the discontinuous Galerkin method for hyperbolic conservation laws

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations

Arbitrary Lagrangian–Eulerian Local Discontinuous Galerkin Method for Linear Convection–Diffusion Equations

Fourier Spectral Methods for Degasperis–Procesi Equation with Discontinuous Solutions

Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations

Discontinuous Galerkin Methods for the Ostrovsky–Vakhnenko Equation

A New Hybrid WENO Scheme with the High-Frequency Region for Hyperbolic Conservation Laws

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