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A simple weighted essentially nonoscillatory limiter for Runge–Kutta discontinuous Galerkin methods

Journal of computational physics, 2013-01, Vol.232 (1), p.397-415

2013

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A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

Communications in computational physics, 2021, Vol.30 (2), p.423-447

2021

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High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

Communications in computational physics, 2022, Vol.31 (3), p.913-946

2022

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Numerical resolution of discontinuous Galerkin methods for time dependent wave equations

Computer methods in applied mechanics and engineering, 2011-10, Vol.200 (41), p.2814-2827

2011

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Cell-average based neural network method for third order and fifth order KdV type equations

Frontiers in applied mathematics and statistics, 2022-11, Vol.8

2022

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An efficient WENO limiter for discontinuous Galerkin transport scheme on the cubed sphere

International journal for numerical methods in fluids, 2016-05, Vol.81 (1), p.3-21

2016

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Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system

Journal of computational physics, 2023-02, Vol.475, p.111863, Article 111863

2023

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A learned conservative semi-Lagrangian finite volume scheme for transport simulations

Journal of computational physics, 2023-10, Vol.490, p.112329, Article 112329

2023

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Numerical methods for reinterpreted discrete fracture models with random inputs

Journal of computational and applied mathematics, 2024-10, Vol.448, p.115938, Article 115938

2024

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Direct Discontinuous Galerkin Method with Interface Correction for the Keller-Segel Chemotaxis Model

Journal of scientific computing, 2024-10, Vol.101 (1), p.8, Article 8

2024

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Local Discontinuous Galerkin Methods with Multistep Implicit–Explicit Time Discretization for Nonlinear Schrödinger Equations

Journal of scientific computing, 2024-10, Vol.101 (1), p.4, Article 4

2024

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A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System

Multiscale modeling & simulation, 2024-12, Vol.22 (4), p.1421-1448

2024

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Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator

Journal of computational physics, 2024-10, Vol.514 (C), p.113219, Article 113219

2024

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Galerkin Methods for Stationary Radiative Transfer Equations with Uncertain Coefficients

Journal of scientific computing, 2018-08, Vol.76 (2), p.1105-1126

2018

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An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes

Journal of computational physics, 2022-10, Vol.467, p.111424, Article 111424

2022

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Runge–Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes

Journal of computational physics, 2013-09, Vol.248, p.200-220

2013

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Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs

Journal of scientific computing, 2022-07, Vol.92 (1), p.14, Article 14

2022

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Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential

SIAM journal on scientific computing, 2022-01, Vol.44 (5), p.A3317-A3340

2022

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Stochastic Galerkin Methods for Time-Dependent Radiative Transfer Equations with Uncertain Coefficients

Journal of scientific computing, 2023-03, Vol.94 (3), p.68, Article 68

2023

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Energy-conserving discontinuous Galerkin methods for the Vlasov–Maxwell system

Journal of computational physics, 2014-12, Vol.279, p.145-173

2014

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Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach

Journal of computational physics, 2013-02, Vol.235, p.458-485

2013

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A stochastic Galerkin method for the direct and inverse random source problems of the Helmholtz equation

Communications in mathematical sciences, 2024, Vol.22 (2), p.563-581

2024

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Superconvergence Study of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations

Communications on Applied Mathematics and Computation (Online), 2022-03, Vol.4 (1), p.180-204

2022

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Energy-conserving discontinuous Galerkin methods for the Vlasov–Ampère system

Journal of computational physics, 2014-01, Vol.256, p.630-655

2014

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Superconvergence of Direct Discontinuous Galerkin Methods: Eigen-structure Analysis Based on Fourier Approach

Communications on Applied Mathematics and Computation (Online), 2024-03, Vol.6 (1), p.257-278

2024

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A simple weighted essentially nonoscillatory limiter for Runge–Kutta discontinuous Galerkin methods

A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

Numerical resolution of discontinuous Galerkin methods for time dependent wave equations

Cell-average based neural network method for third order and fifth order KdV type equations

An efficient WENO limiter for discontinuous Galerkin transport scheme on the cubed sphere

Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system

A learned conservative semi-Lagrangian finite volume scheme for transport simulations

Numerical methods for reinterpreted discrete fracture models with random inputs

Direct Discontinuous Galerkin Method with Interface Correction for the Keller-Segel Chemotaxis Model

Local Discontinuous Galerkin Methods with Multistep Implicit–Explicit Time Discretization for Nonlinear Schrödinger Equations

A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System

Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator

Galerkin Methods for Stationary Radiative Transfer Equations with Uncertain Coefficients

An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes

Runge–Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes

Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs

Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential

Stochastic Galerkin Methods for Time-Dependent Radiative Transfer Equations with Uncertain Coefficients

Energy-conserving discontinuous Galerkin methods for the Vlasov–Maxwell system

Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach

A stochastic Galerkin method for the direct and inverse random source problems of the Helmholtz equation

Superconvergence Study of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations

Energy-conserving discontinuous Galerkin methods for the Vlasov–Ampère system

Superconvergence of Direct Discontinuous Galerkin Methods: Eigen-structure Analysis Based on Fourier Approach

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