Ollivier--Ricci Idleness Functions of Graphs DP Bourne, D Cushing, S Liu, F Münch, N Peyerimhoff SIAM Journal on Discrete Mathematics 32 (2), 1408-1424, 2018 | 69 | 2018 |

Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues D Bourne Continuum Mechanics and Thermodynamics 15, 571-579, 2003 | 48 | 2003 |

Centroidal power diagrams, Lloyd's algorithm, and applications to optimal location problems DP Bourne, SM Roper SIAM Journal on Numerical Analysis 53 (6), 2545-2569, 2015 | 38 | 2015 |

Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes DP Bourne, PJJ Kok, SM Roper, WDT Spanjer Philosophical Magazine 100 (21), 2677-2707, 2020 | 31 | 2020 |

Optimality of the triangular lattice for a particle system with Wasserstein interaction DP Bourne, MA Peletier, F Theil To appear in Communications in Mathematical Physics, 2013 | 28 | 2013 |

Energy bounds for a compressed elastic film on a substrate DP Bourne, S Conti, S Müller Journal of Nonlinear Science 27, 453-494, 2017 | 22 | 2017 |

Semi-discrete unbalanced optimal transport and quantization DP Bourne, B Schmitzer, B Wirth arXiv preprint arXiv:1808.01962, 2018 | 21 | 2018 |

Hexagonal patterns in a simplified model for block copolymers DP Bourne, MA Peletier, SM Roper arXiv:1305.6540, 2013 | 15 | 2013 |

Analysis of a model for ship maneuvering M Apri, N Banagaaya, JB van den Berg, R Brussee, DP Bourne, T Fatima, ... Proceedings of the 79th European Study Group Mathematics with Industry, 83-116, 2011 | 10 | 2011 |

An inverse problem for Voronoi diagrams: A simplified model of non‐destructive testing with ultrasonic arrays DP Bourne, AJ Mulholland, S Sahu, KMM Tant Mathematical Methods in the Applied Sciences 44 (5), 3727-3745, 2021 | 9 | 2021 |

Is adding charcoal to soil a good method for CO< sub> 2</sub> sequestration?–Modeling a spatially homogeneous soil D Bourne, T Fatima, P van Meurs, A Muntean To appear in Applied Mathematical Modelling, 2013 | 9* | 2013 |

A new implementation of the geometric method for solving the Eady slice equations CP Egan, DP Bourne, CJ Cotter, MJP Cullen, B Pelloni, SM Roper, ... Journal of Computational Physics 469, 111542, 2022 | 6 | 2022 |

Semi-discrete optimal transport methods for the semi-geostrophic equations DP Bourne, CP Egan, B Pelloni, M Wilkinson Calculus of Variations and Partial Differential Equations 61, 1-34, 2022 | 6 | 2022 |

A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction. Part II: analysis of convergence D Bourne, H Elman, J Osborn Communications on Pure and Applied Analysis 8 (1), 143-160, 2008 | 6 | 2008 |

The Taylor-Couette problem for flow in a deformable cylinder DP Bourne PhD thesis, University of Maryland, College Park, 2007 | 6 | 2007 |

Controlling fragment competition on pathways to addressable self-assembly J Madge, D Bourne, MA Miller The Journal of Physical Chemistry B 122 (42), 9815-9825, 2018 | 5 | 2018 |

Folding patterns in partially delaminated thin films D Bourne, S Conti, S Müller Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems: In …, 2016 | 5 | 2016 |

Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport DP Bourne, M Pearce, SM Roper Mechanics Research Communications 127, 104023, 2023 | 4 | 2023 |

A Brief Introduction to Optimal Transport Theory DP Bourne Lecture notes from the, 2018 | 4 | 2018 |

Rotational symmetry vs. axisymmetry in shell theory SS Antman, D Bourne International journal of engineering science 48 (11), 991-1005, 2010 | 4 | 2010 |