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Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations

BIT, 2023-12, Vol.63 (4), Article 52

2023

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A discontinuous Galerkin finite element method for directly solving the Hamilton–Jacobi equations

Journal of computational physics, 2007-04, Vol.223 (1), p.398-415

2007

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Superconvergence and time evolution of discontinuous Galerkin finite element solutions

Journal of computational physics, 2008-11, Vol.227 (22), p.9612-9627

2008

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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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A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

Mathematics of computation, 2008-04, Vol.77 (262), p.699-730

2008

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A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices

Computer methods in applied mechanics and engineering, 2009-08, Vol.198 (37), p.3130-3150

2009

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Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations

Mathematics of computation, 2012-01, Vol.81 (277), p.153-190

2012

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A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations

SIAM journal on scientific computing, 2016-01, Vol.38 (6), p.A3381-A3409

2016

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Recovering doping profiles in semiconductor devices with the Boltzmann–Poisson model

Journal of computational physics, 2011-05, Vol.230 (9), p.3391-3412

2011

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Superconvergence of local discontinuous Galerkin methods for one-dimensional convection–diffusion equations

Computers & structures, 2009-06, Vol.87 (11), p.630-641

2009

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An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions

SIAM journal on scientific computing, 2020-01, Vol.42 (5), p.A2943-A2973

2020

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A new discontinuous Galerkin finite element method for directly solving the Hamilton–Jacobi equations

Journal of computational physics, 2014-07, Vol.268, p.134-153

2014

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An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions

SIAM journal on scientific computing, 2017-01, Vol.39 (6), p.A2962-A2992

2017

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An adaptive high-order piecewise polynomial based sparse grid collocation method with applications

Journal of computational physics, 2021-05, Vol.433, p.109770, Article 109770

2021

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An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions

Journal of computational physics, 2021-07, Vol.436, p.110294, Article 110294

2021

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Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations

Journal of computational physics, 2016-06, Vol.314, p.244-263

2016

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An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension

Journal of scientific computing, 2019-02, Vol.78 (2), p.772-815

2019

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Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure

Journal of computational physics, 2022-03, Vol.453 (C), p.110941, Article 110941

2022

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Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure

Journal of computational physics, 2022-01, Vol.453 (C)

2022

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A Reduced Basis Method for Radiative Transfer Equation

Journal of scientific computing, 2022-04, Vol.91 (1), p.5, Article 5

2022

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A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations

SIAM journal on scientific computing, 2022-04, Vol.44 (2), p.A745-A769

2022

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Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling

Journal of computational physics, 2020-08, Vol.415, p.109485, Article 109485

2020

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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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A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation

Multiscale modeling & simulation, 2024-01, Vol.22 (1), p.639-666

2024

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Adaptive Sparse Grid Discontinuous Galerkin Method: Review and Software Implementation

Communications on Applied Mathematics and Computation (Online), 2024-03, Vol.6 (1), p.501-532

2024

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Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations

A discontinuous Galerkin finite element method for directly solving the Hamilton–Jacobi equations

Superconvergence and time evolution of discontinuous Galerkin finite element solutions

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

A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices

Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations

A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations

Recovering doping profiles in semiconductor devices with the Boltzmann–Poisson model

Superconvergence of local discontinuous Galerkin methods for one-dimensional convection–diffusion equations

An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions

A new discontinuous Galerkin finite element method for directly solving the Hamilton–Jacobi equations

An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions

An adaptive high-order piecewise polynomial based sparse grid collocation method with applications

An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions

Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations

An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension

Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure

Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure

A Reduced Basis Method for Radiative Transfer Equation

A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations

Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling

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

A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation

Adaptive Sparse Grid Discontinuous Galerkin Method: Review and Software Implementation

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