Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations GJ Gassner, AR Winters, DA Kopriva Journal of Computational Physics 327, 39-66, 2016 | 335 | 2016 |

A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations GJ Gassner, AR Winters, DA Kopriva Applied Mathematics and Computation 272, 291-308, 2016 | 159 | 2016 |

Statistics: a brief overview R Winters, A Winters, RG Amedee Ochsner Journal 10 (3), 213-216, 2010 | 147 | 2010 |

The BR1 scheme is stable for the compressible Navier–Stokes equations GJ Gassner, AR Winters, FJ Hindenlang, DA Kopriva Journal of Scientific Computing 77, 154-200, 2018 | 135 | 2018 |

A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations AR Winters, RC Moura, G Mengaldo, GJ Gassner, S Walch, J Peiro, ... Journal of Computational Physics 372, 1-21, 2018 | 122 | 2018 |

An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry N Wintermeyer, AR Winters, GJ Gassner, DA Kopriva Journal of Computational Physics 340, 200-242, 2017 | 113 | 2017 |

Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations AR Winters, GJ Gassner Journal of Computational Physics 304, 72-108, 2016 | 94 | 2016 |

Ideal GLM-MHD: about the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations D Derigs, AR Winters, GJ Gassner, S Walch, M Bohm Journal of Computational Physics 364, 420-467, 2018 | 82 | 2018 |

Entropy stable space–time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws L Friedrich, G Schnücke, AR Winters, DCDR Fernández, GJ Gassner, ... Journal of Scientific Computing 80, 175-222, 2019 | 80 | 2019 |

An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification M Bohm, AR Winters, GJ Gassner, D Derigs, F Hindenlang, J Saur Journal of Computational Physics 422, 108076, 2020 | 65 | 2020 |

An Entropy Stable *h* / *p* Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts PropertyL Friedrich, AR Winters, DC Del Rey Fernández, GJ Gassner, M Parsani, ... Journal of Scientific Computing 77, 689-725, 2018 | 62 | 2018 |

A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations AR Winters, D Derigs, GJ Gassner, S Walch Journal of Computational Physics 332, 274-289, 2017 | 59 | 2017 |

An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs N Wintermeyer, AR Winters, GJ Gassner, T Warburton Journal of Computational Physics 375, 447-480, 2018 | 47 | 2018 |

A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography AR Winters, GJ Gassner Journal of Computational Physics 301, 357-376, 2015 | 45 | 2015 |

Adaptive numerical simulations with Trixi. jl: A case study of Julia for scientific computing H Ranocha, M Schlottke-Lakemper, AR Winters, E Faulhaber, J Chan, ... arXiv preprint arXiv:2108.06476, 2021 | 43 | 2021 |

A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure D Derigs, AR Winters, GJ Gassner, S Walch Journal of Computational Physics 317, 223-256, 2016 | 42 | 2016 |

A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD D Derigs, AR Winters, GJ Gassner, S Walch Journal of Computational Physics 330, 624-632, 2017 | 41 | 2017 |

A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics M Schlottke-Lakemper, AR Winters, H Ranocha, GJ Gassner Journal of Computational Physics 442, 110467, 2021 | 37 | 2021 |

A novel robust strategy for discontinuous Galerkin methods in computational fluid mechanics: Why? When? What? Where? GJ Gassner, AR Winters Frontiers in Physics 8, 500690, 2021 | 34 | 2021 |

An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing AM Rueda-Ramírez, S Hennemann, FJ Hindenlang, AR Winters, ... Journal of Computational Physics 444, 110580, 2021 | 27 | 2021 |