Acceleration of tensor-product operations for high-order finite element methods K Świrydowicz, N Chalmers, A Karakus, T Warburton The International Journal of High Performance Computing Applications 33 (4 …, 2019 | 32 | 2019 |

Relaxing the CFL number of the discontinuous Galerkin method N Chalmers, L Krivodonova, R Qin SIAM Journal on Scientific Computing 36 (4), A2047-A2075, 2014 | 15 | 2014 |

A GPU accelerated discontinuous Galerkin incompressible flow solver A Karakus, N Chalmers, K Świrydowicz, T Warburton Journal of Computational Physics 390, 380-404, 2019 | 13* | 2019 |

A parallel hp-adaptive high order discontinuous Galerkin method for the incompressible Navier-Stokes equations N Chalmers, G Agbaglah, M Chrust, C Mavriplis Journal of Computational Physics: X 2, 100023, 2019 | 11 | 2019 |

On the numerical approximation of one-dimensional nonconservative hyperbolic systems N Chalmers, E Lorin Journal of Computational Science 4 (1-2), 111-124, 2013 | 10 | 2013 |

Approximation of non-conservative hyperbolic systems based on different shock curve definitions N Chalmers, E Lorin Canad. Appl. Math. Quart 17, 447, 2009 | 7 | 2009 |

A robust CFL condition for the discontinuous Galerkin method on triangular meshes N Chalmers, L Krivodonova Journal of Computational Physics 403, 109095, 2020 | 6 | 2020 |

Low-order preconditioning of high-order triangular finite elements N Chalmers, T Warburton SIAM Journal on Scientific Computing 40 (6), A4040-A4059, 2018 | 4 | 2018 |

Spatial and modal superconvergence of the discontinuous Galerkin method for linear equations N Chalmers, L Krivodonova Journal of Scientific Computing 72 (1), 128-146, 2017 | 4 | 2017 |

Discontinuous Galerkin discretizations of the Boltzmann–BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers A Karakus, N Chalmers, JS Hesthaven, T Warburton Journal of Computational Physics 390, 175-202, 2019 | 3 | 2019 |

Efficient exascale discretizations: High-order finite element methods T Kolev, P Fischer, M Min, J Dongarra, J Brown, V Dobrev, T Warburton, ... The International Journal of High Performance Computing Applications …, 2021 | 2 | 2021 |

Initial guesses for sequences of linear systems in a gpu-accelerated incompressible flow solver AP Austin, N Chalmers, T Warburton SIAM Journal on Scientific Computing 43 (4), C259-C289, 2021 | 2 | 2021 |

NekRS, a GPU-Accelerated Spectral Element Navier-Stokes Solver P Fischer, S Kerkemeier, M Min, YH Lan, M Phillips, T Rathnayake, ... arXiv preprint arXiv:2104.05829, 2021 | 1 | 2021 |

Massive parallel nodal discontinuous Galerkin finite element method simulator for room acoustics A Melander, E Strøm, F Pind, A Engsig-Karup, CH Jeong, T Warburton, ... International Journal of High Performance Computing Applications, 2020 | 1 | 2020 |

Optimizing hyperplane sweep operations using asynchronous multi-grain gpu tasks AM Kaushik, AM Aji, MA Hassaan, N Chalmers, N Wolfe, S Moe, ... 2019 IEEE International Symposium on Workload Characterization (IISWC), 59-69, 2019 | 1 | 2019 |

Superconvergence, Superaccuracy, and Stability of the Discontinuous Galerkin Finite Element Method N Chalmers University of Waterloo, 2015 | 1 | 2015 |

ECP Milestone Report High-order algorithmic developments and optimizations for large-scale GPU-accelerated simulations WBS 2.2. 6.06, Milestone CEED-MS36 T Kolev, P Fischer, AP Austin, AT Barker, N Beams, J Brown, JS Camier, ... | | 2021 |

Portable high-order finite element kernels I: Streaming Operations N Chalmers, T Warburton arXiv preprint arXiv:2009.10917, 2020 | | 2020 |

Discontinuous Galerkin Discretizations of the Boltzmann Equations in 2D: semi-analytic time stepping and absorbing boundary layers A Karakus, N Chalmers, JS Hesthaven, T Warburton arXiv preprint arXiv:1805.02082, 2018 | | 2018 |

GPU Accelerated Spectral Element Operators for Elliptic Problems K Swirydowicz, N Chalmers, A Karakus, T Warburton | | 2017 |