Characterizing possible failure modes in physics-informed neural networks A Krishnapriyan, A Gholami, S Zhe, R Kirby, MW Mahoney Advances in neural information processing systems 34, 26548-26560, 2021 | 631 | 2021 |

Nektar++: An open-source spectral/hp element framework CD Cantwell, D Moxey, A Comerford, A Bolis, G Rocco, G Mengaldo, ... Computer physics communications 192, 205-219, 2015 | 627 | 2015 |

Volumetric parameterization and trivariate B-spline fitting using harmonic functions T Martin, E Cohen, M Kirby Proceedings of the 2008 ACM symposium on Solid and physical modeling, 269-280, 2008 | 324 | 2008 |

Analysis and reduction of quadrature errors in the material point method (MPM) M Steffen, RM Kirby, M Berzins International journal for numerical methods in engineering 76 (6), 922-948, 2008 | 323 | 2008 |

Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis E Cohen, T Martin, RM Kirby, T Lyche, RF Riesenfeld Computer Methods in Applied Mechanics and Engineering 199 (5-8), 334-356, 2010 | 260 | 2010 |

Visualizing multivalued data from 2D incompressible flows using concepts from painting RM Kirby, H Marmanis, DH Laidlaw Proceedings Visualization'99 (Cat. No. 99CB37067), 333-540, 1999 | 251 | 1999 |

To CG or to HDG: a comparative study RM Kirby, SJ Sherwin, B Cockburn Journal of Scientific Computing 51, 183-212, 2012 | 231 | 2012 |

Contour boxplots: A method for characterizing uncertainty in feature sets from simulation ensembles RT Whitaker, M Mirzargar, RM Kirby IEEE Transactions on Visualization and Computer Graphics 19 (12), 2713-2722, 2013 | 225 | 2013 |

Comparing 2D vector field visualization methods: A user study DH Laidlaw, RM Kirby, CD Jackson, JS Davidson, TS Miller, M Da Silva, ... IEEE Transactions on Visualization and Computer Graphics 11 (1), 59-70, 2005 | 207 | 2005 |

From h to p efficiently: Implementing finite and spectral/hp element methods to achieve optimal performance for low-and high-order discretisations PEJ Vos, SJ Sherwin, RM Kirby Journal of Computational Physics 229 (13), 5161-5181, 2010 | 200 | 2010 |

De-aliasing on non-uniform grids: algorithms and applications RM Kirby, GE Karniadakis Journal of Computational Physics 191 (1), 249-264, 2003 | 198 | 2003 |

Curve boxplot: Generalization of boxplot for ensembles of curves M Mirzargar, RT Whitaker, RM Kirby IEEE transactions on visualization and computer graphics 20 (12), 2654-2663, 2014 | 189 | 2014 |

A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction–diffusion equations on surfaces V Shankar, GB Wright, RM Kirby, AL Fogelson Journal of scientific computing 63, 745-768, 2015 | 153 | 2015 |

Unconditionally stable discretizations of the immersed boundary equations EP Newren, AL Fogelson, RD Guy, RM Kirby Journal of Computational Physics 222 (2), 702-719, 2007 | 142 | 2007 |

A discontinuous Galerkin ALE method for compressible viscous flows in moving domains I Lomtev, RM Kirby, GE Karniadakis Journal of Computational Physics 155 (1), 128-159, 1999 | 141 | 1999 |

On the Lamb vector divergence in Navier–Stokes flows CW Hamman, JC Klewicki, RM Kirby Journal of Fluid Mechanics 610, 261-284, 2008 | 130 | 2008 |

Nektar++: Enhancing the capability and application of high-fidelity spectral/hp element methods D Moxey, CD Cantwell, Y Bao, A Cassinelli, G Castiglioni, S Chun, E Juda, ... Computer Physics Communications 249, 107110, 2020 | 128 | 2020 |

Visualization in meteorology—a survey of techniques and tools for data analysis tasks M Rautenhaus, M Böttinger, S Siemen, R Hoffman, RM Kirby, M Mirzargar, ... IEEE Transactions on Visualization and Computer Graphics 24 (12), 3268-3296, 2017 | 128 | 2017 |

Stabilisation of spectral/hp element methods through spectral vanishing viscosity: Application to fluid mechanics modelling RM Kirby, SJ Sherwin Computer methods in applied mechanics and engineering 195 (23-24), 3128-3144, 2006 | 125 | 2006 |

Stochastic collocation for optimal control problems with stochastic PDE constraints H Tiesler, RM Kirby, D Xiu, T Preusser SIAM Journal on Control and Optimization 50 (5), 2659-2682, 2012 | 124 | 2012 |