Andrew R. Winters

Orcid: 0000-0002-5902-1522

According to our database1, Andrew R. Winters authored at least 41 papers between 2014 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2025
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws.
J. Comput. Phys., 2025

2024
An Entropy Stable Discontinuous Galerkin Method for the Two-Layer Shallow Water Equations on Curvilinear Meshes.
J. Sci. Comput., March, 2024

Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes.
J. Comput. Phys., February, 2024

Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods.
CoRR, 2024

Entropy stable hydrostatic reconstruction schemes for shallow water systems.
CoRR, 2024

Energy Bounds for Discontinuous Galerkin Spectral Element Approximations of Well-Posed Overset Grid Problems for Hyperbolic Systems.
CoRR, 2024

2023
Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws.
ACM Trans. Math. Softw., December, 2023

High-order upwind summation-by-parts methods for nonlinear conservation laws.
CoRR, 2023

2022
A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions.
J. Comput. Phys., 2022

On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics.
CoRR, 2022

2021
Stable Filtering Procedures for Nodal Discontinuous Galerkin Methods.
J. Sci. Comput., 2021

A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics.
J. Comput. Phys., 2021

An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing.
J. Comput. Phys., 2021

Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.
CoRR, 2021

2020
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification.
J. Comput. Phys., 2020

Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations.
CoRR, 2020

2019
Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws.
J. Sci. Comput., 2019

Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods.
J. Sci. Comput., 2019

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations.
CoRR, 2019

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations.
CoRR, 2019

Energy versus entropy estimates for nonlinear hyperbolic systems of equations.
CoRR, 2019

Entropy stable numerical approximations for the isothermal and polytropic Euler equations.
CoRR, 2019

2018
Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations.
J. Sci. Comput., 2018

The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations.
J. Sci. Comput., 2018

An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property.
J. Sci. Comput., 2018

Conservative and Stable Degree Preserving SBP Operators for Non-conforming Meshes.
J. Sci. Comput., 2018

A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations.
J. Comput. Phys., 2018

An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs.
J. Comput. Phys., 2018

Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations.
J. Comput. Phys., 2018

2017
A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations.
J. Comput. Phys., 2017

An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry.
J. Comput. Phys., 2017

Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws.
J. Comput. Phys., 2017

A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD.
J. Comput. Phys., 2017

2016
An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics.
J. Sci. Comput., 2016

Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations.
J. Comput. Phys., 2016

Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations.
J. Comput. Phys., 2016

A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure.
J. Comput. Phys., 2016

A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations.
Appl. Math. Comput., 2016

2015
A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography.
J. Comput. Phys., 2015

2014
High-Order Local Time Stepping on Moving DG Spectral Element Meshes.
J. Sci. Comput., 2014

ALE-DGSEM approximation of wave reflection and transmission from a moving medium.
J. Comput. Phys., 2014


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