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Essentially non-oscillatory and weighted essentially non-oscillatory schemes

Acta numerica, 2020-05, Vol.29, p.701-762

Shu, Chi-Wang

2020

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High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

SIAM review, 2009-03, Vol.51 (1), p.82-126

Shu, Chi-Wang

2009

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On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Journal of computational physics, 2010-11, Vol.229 (23), p.8918-8934

2010

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On maximum-principle-satisfying high order schemes for scalar conservation laws

Journal of computational physics, 2010-05, Vol.229 (9), p.3091-3120

2010

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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 primal-dual approach for solving conservation laws with implicit in time approximations

Journal of computational physics, 2023-01, Vol.472, p.111654, Article 111654

2023

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A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws

Journal of computational physics, 2017-10, Vol.347, p.305-327

2017

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Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2011-10, Vol.467 (2134), p.2752-2776

2011

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Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

Numerische Mathematik, 2021-07, Vol.148 (3), p.699-741

2021

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Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes

Numerische Mathematik, 2019-08, Vol.142 (4), p.995-1047

2019

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Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws

Journal of computational physics, 2022-12, Vol.470, p.111591, Article 111591

2022

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Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

Journal of computational physics, 2013-06, Vol.242, p.169-180

2013

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A high order positivity-preserving polynomial projection remapping method

Journal of computational physics, 2023-02, Vol.474, p.111826, Article 111826

2023

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A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver

Journal of computational physics, 2023-01, Vol.473, p.111754, Article 111754

2023

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A high order moving boundary treatment for convection-diffusion equations

Journal of computational physics, 2023-01, Vol.473, p.111752, Article 111752

2023

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High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

Journal of computational physics, 2016-07, Vol.316 (C), p.598-613

Shu, Chi-Wang

2016

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Stability analysis of inverse Lax–Wendroff boundary treatment of high order compact difference schemes for parabolic equations

Journal of computational and applied mathematics, 2022-01, Vol.400, p.113711, Article 113711

2022

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Analysis of a class of spectral volume methods for linear scalar hyperbolic conservation laws

Numerical methods for partial differential equations, 2024-11, Vol.40 (6), p.n/a

2024

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Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

Journal of computational physics, 2017-09, Vol.345, p.427-461

2017

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Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

Mathematics of computation, 2016-05, Vol.85 (299), p.1225-1261

2016

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Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems

Science China. Mathematics, 2020, Vol.63 (1), p.183-204

2020

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Bilevel optimization of a housing allocation and traffic emission problem in a predictive dynamic continuum transportation system

Computer-aided civil and infrastructure engineering, 2023-12, Vol.38 (18), p.2576-2596

2023

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A new type of multi-resolution WENO schemes with increasingly higher order of accuracy

Journal of computational physics, 2018-12, Vol.375, p.659-683

2018

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An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives

Mathematics of computation, 2020-11, Vol.89 (326), p.2753-2783

2020

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Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws

SIAM journal on scientific computing, 2018-01, Vol.40 (1), p.A81-A107

2018

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Essentially non-oscillatory and weighted essentially non-oscillatory schemes

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

On maximum-principle-satisfying high order schemes for scalar conservation laws

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

A primal-dual approach for solving conservation laws with implicit in time approximations

A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws

Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments

Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes

Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws

Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

A high order positivity-preserving polynomial projection remapping method

A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver

A high order moving boundary treatment for convection-diffusion equations

High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

Stability analysis of inverse Lax–Wendroff boundary treatment of high order compact difference schemes for parabolic equations

Analysis of a class of spectral volume methods for linear scalar hyperbolic conservation laws

Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems

Bilevel optimization of a housing allocation and traffic emission problem in a predictive dynamic continuum transportation system

A new type of multi-resolution WENO schemes with increasingly higher order of accuracy

An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives

Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws

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