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A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks

Journal of computational physics, 2020-04, Vol.406, p.109183, Article 109183

2020

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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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High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

Communications in computational physics, 2022-01, Vol.31 (1), p.154-187

2022

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High-order well-balanced finite volume WENO schemes for shallow water equation with moving water

Journal of computational physics, 2007-09, Vol.226 (1), p.29-58

2007

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High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Journal of computational physics, 2006-05, Vol.214 (2), p.567-598

2006

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Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

Communications in computational physics, 2020-11, Vol.28 (5), p.2075-2108

2020

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Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium

Journal of computational physics, 2014-01, Vol.257, p.536-553

Xing, Yulong

2014

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High order finite difference WENO schemes with the exact conservation property for the shallow water equations

Journal of computational physics, 2005-09, Vol.208 (1), p.206-227

2005

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Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation

Journal of computational physics, 2018-01, Vol.352, p.445-462

2018

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Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation

Journal of computational physics, 2022-08, Vol.463, p.111278, Article 111278

2022

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On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity

Journal of computational physics, 2020-10, Vol.419, p.109662, Article 109662

2020

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High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers

Journal of computational physics, 2022-08, Vol.463, p.111255, Article 111255

2022

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Moist multi-scale models for the hurricane embryo

Journal of fluid mechanics, 2010-08, Vol.657, p.478-501

2010

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High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction

Journal of computational physics, 2021-11, Vol.444, p.110543, Article 110543

2021

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Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise

Journal of computational physics, 2022-07, Vol.461, p.111199, Article 111199

2022

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High order finite volume WENO schemes for the Euler equations under gravitational fields

Journal of computational physics, 2016-07, Vol.316, p.145-163

2016

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On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation

Journal of computational physics, 2023-11, Vol.492, p.112429, Article 112429

2023

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Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media

Journal of computational physics, 2014-09, Vol.272, p.88-107

2014

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A Modular Hardware Design of an Intelligent Distributed Feeder Terminal Unit

Journal of physics. Conference series, 2023-04, Vol.2477 (1), p.12098

2023

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Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation

Journal of computational physics, 2020-01, Vol.401, p.109002, Article 109002

2020

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Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates

Journal of computational physics, 2015-04, Vol.287 (C), p.151-183

2015

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Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

Communications in computational physics, 2015-02, Vol.17 (2), p.510-541

2015

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Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates

Journal of computational physics, 2015-04, Vol.287 (C)

2015

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Energy conserving local discontinuous Galerkin methods for wave propagation problems

Inverse problems and imaging (Springfield, Mo.), 2013-08, Vol.7 (3), p.967-986

2013

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Fabrication and nanoindentation characterization of nickel micro-pillar mold for nanoimprint lithography

Microelectronic engineering, 2021-10, Vol.250, p.111636, Article 111636

2021

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A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks

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

High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

High-order well-balanced finite volume WENO schemes for shallow water equation with moving water

High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium

High order finite difference WENO schemes with the exact conservation property for the shallow water equations

Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation

Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation

On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity

High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers

Moist multi-scale models for the hurricane embryo

High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction

Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise

High order finite volume WENO schemes for the Euler equations under gravitational fields

On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation

Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media

A Modular Hardware Design of an Intelligent Distributed Feeder Terminal Unit

Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation

Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates

Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates

Energy conserving local discontinuous Galerkin methods for wave propagation problems

Fabrication and nanoindentation characterization of nickel micro-pillar mold for nanoimprint lithography

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