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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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Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

Advances in water resources, 2010-12, Vol.33 (12), p.1476-1493

2010

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Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes

Mathematics of computation, 2021-07, Vol.90 (330), p.1741-1772

2021

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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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High-order finite volume WENO schemes for the shallow water equations with dry states

Advances in water resources, 2011-08, Vol.34 (8), p.1026-1038

2011

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Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number

Mathematics of computation, 2013-07, Vol.82 (283), p.1269-1296

2013

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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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ANALYSIS OF MIXED INTERIOR PENALTY DISCONTINUOUS GALERKIN METHODS FOR THE CAHN-HILLIARD EQUATION AND THE HELE-SHAW FLOW

SIAM journal on numerical analysis, 2016-01, Vol.54 (2), p.825-847

2016

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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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Influence of dynamic load and water on energy accumulation and dissipation in sandstone

Scientific reports, 2023-12, Vol.13 (1), p.22010-22010, Article 22010

2023

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L^2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations

Mathematics of computation, 2017-01, Vol.86 (303), p.121-155

2017

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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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High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry

Journal of computational and applied mathematics, 2016-06, Vol.299, p.229-244

Xing, Yulong

2016

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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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Tunable Time Resolution: An Energy Saving Mechanism for Wireless Sensor Networks

IEEE communications letters, 2015-07, Vol.19 (7), p.1201-1204

2015

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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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Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations

Mathematics of computation, 2023-12

2023

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Well-balanced discontinuous Galerkin methods for the one-dimensional blood flow through arteries model with man-at-eternal-rest and living-man equilibria

Computers & fluids, 2020-05, Vol.203, p.104493, Article 104493

2020

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New Efficient Sparse Space―Time Algorithms for Superparameterization on Mesoscales

Monthly weather review, 2009-12, Vol.137 (12), p.4307-4324

2009

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Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields

Computers & mathematics with applications (1987), 2018-03, Vol.75 (6), p.2071-2085

2018

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On Generalized Gauss–Radau Projections and Optimal Error Estimates of Upwind-Biased DG Methods for the Linear Advection Equation on Special Simplex Meshes

Journal of scientific computing, 2023-05, Vol.95 (2), p.40, Article Paper No. 40, 36

2023

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Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

Journal of scientific computing, 2013-10, Vol.57 (1), p.19-41

2013

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

Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes

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

High-order finite volume WENO schemes for the shallow water equations with dry states

Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number

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

ANALYSIS OF MIXED INTERIOR PENALTY DISCONTINUOUS GALERKIN METHODS FOR THE CAHN-HILLIARD EQUATION AND THE HELE-SHAW FLOW

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

Influence of dynamic load and water on energy accumulation and dissipation in sandstone

L^2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations

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

High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry

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

Tunable Time Resolution: An Energy Saving Mechanism for Wireless Sensor Networks

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

Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations

Well-balanced discontinuous Galerkin methods for the one-dimensional blood flow through arteries model with man-at-eternal-rest and living-man equilibria

New Efficient Sparse Space―Time Algorithms for Superparameterization on Mesoscales

Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields

On Generalized Gauss–Radau Projections and Optimal Error Estimates of Upwind-Biased DG Methods for the Linear Advection Equation on Special Simplex Meshes

Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

Moist multi-scale models for the hurricane embryo

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

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