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Andrew R. Winters

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Papers (21)

  1. Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations math.NA · 2026 · author #3
  2. Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods math.NA · 2019 · author #3
  3. Entropy stable numerical approximations for the isothermal and polytropic Euler equations math.NA · 2019 · author #1
  4. Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws math.NA · 2018 · author #3
  5. An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs math.NA · 2018 · author #2
  6. An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and Numerical Verification math.NA · 2018 · author #2
  7. An Entropy Stable h/p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property math.NA · 2017 · author #2
  8. A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations math.NA · 2017 · author #1
  9. Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations physics.comp-ph · 2017 · author #2
  10. An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations: Continuous analysis and GLM divergence cleaning math.NA · 2017 · author #2
  11. Entropy Stable Finite Volume Approximations for Ideal Magnetohydrodynamics math.NA · 2017 · author #4
  12. The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations math.NA · 2017 · author #2
  13. Conservative and Stable Degree Preserving SBP Operators for Non-Conforming Meshes math.NA · 2016 · author #3
  14. A Novel Averaging Technique for Discrete Entropy-Stable Dissipation Operators for Ideal MHD physics.comp-ph · 2016 · author #2
  15. Hybrid Entropy Stable HLL-Type Riemann Solvers for Hyperbolic Conservation Laws math.NA · 2016 · author #2
  16. A Novel High-Order, Entropy Stable, 3D AMR MHD Solver with Guaranteed Positive Pressure astro-ph.GA · 2016 · author #2
  17. Split Form Nodal Discontinuous Galerkin Schemes with Summation-By-Parts Property for the Compressible Euler Equations math.NA · 2016 · author #2
  18. A Provably Stable Discontinuous Galerkin Spectral Element Approximation for Moving Hexahedral Meshes math.NA · 2015 · author #2
  19. Affordable, Entropy Conserving and Entropy Stable Flux Functions for the Ideal MHD Equations math.NA · 2015 · author #1
  20. An Entropy Stable Nodal Discontinuous Galerkin Method for the Two Dimensional Shallow Water Equations on Unstructured Curvilinear Meshes with Discontinuous Bathymetry math.NA · 2015 · author #2
  21. An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics math.NA · 2015 · author #1

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