DB
David P. Bourne
math.OCmath.APcond-mat.mtrl-scics.NAmath.NAcond-mat.softmath.COmath.DGmath.MPmath-ph
On Valency
published · living versionsW_2832t9qb·v1 · currentpublished
Optimality of the BCC lattice among 3D lattice quantizers
with Filippo Cagnetti, Steven M. Roper
1 version
Preprints & journals
19 papers in the corpus · 2012–2026Semi-discrete convex order and Laguerre tessellation fitting2606.29913v1 · David P. Bourne, Thomas Gallouet, Quentin M'erigot et al.2026 · 0 citationsarXiv
Polynomial diagrams for microstructure modelling2605.20816v1 · David P. Bourne, Maciej Buze, Thomas Gallouet et al.2026 · 0 citationsarXiv
Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations2504.20807v2 · David P. Bourne, Charlie P. Egan, Th'eo Lavier et al.2025 · 0 citationsSIAM Journal on Mathematical Analysis 2026 58:3, 3008-3047
A definition of the background state of the atmosphere using optimal transport2504.11141v1 · Charlie Egan, John Methven, David P. Bourne et al.2025 · 0 citationsarXiv
Inverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport2406.00871v2 · David P. Bourne, Mason Pearce, Steven M. Roper2024 · 2 citationsarXiv
Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport2403.03571v2 · Maciej Buze, Jean Feydy, Steven M. Roper et al.2024 · 8 citationsarXiv
Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport2207.12036v1 · D. P. Bourne, M. Pearce, S. M. Roper2022 · 7 citationsarXiv
A new implementation of the geometric method for solving the Eady slice equations2203.04903v2 · Charlie P. Egan, David P. Bourne, Colin J. Cotter et al.2022 · 8 citationsJournal of Computational Physics, Volume 469, 111542 (2022)
Semi-discrete optimal transport methods for the semi-geostrophic equations2009.04430v4 · David P. Bourne, Charlie P. Egan, Beatrice Pelloni et al.2020 · 6 citationsCalculus of Variations and Partial Differential Equations, Volume 61, Article number: 39 (2022)
Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes1912.07188v2 · D. P. Bourne, P. J. J. Kok, S. M. Roper et al.2019 · 43 citationsarXiv
Controlling Fragment Competition on Pathways to Addressable Self-Assembly.30256103 · Madge, Jim, Bourne, David, Miller, Mark A2019 · 4 citationsThe journal of physical chemistry. B. 2018;122(42):9815-9825
Semi-discrete unbalanced optimal transport and quantization1808.01962v3 · David P. Bourne, Bernhard Schmitzer, Benedikt Wirth2018 · 13 citationsarXiv
Ollivier-Ricci idleness functions of graphs1704.04398v2 · David Bourne, David Cushing, Shiping Liu et al.2017 · 45 citationsarXiv
Energy Bounds for a Compressed Elastic Film on a Substrate1512.07416v1 · David P. Bourne, Sergio Conti, Stefan Muller2015 · 19 citationsJ. Nonlinear Science 27 (2017), 453-494
Folding patterns in partially delaminated thin films1512.06320v1 · David Bourne, Sergio Conti, Stefan Muller2015 · 5 citationsarXiv
Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems1409.2786v1 · David Bourne, Steven Roper2014 · 36 citationsarXiv
Hexagonal patterns in a simplified model for block copolymers1305.6540v2 · D. P. Bourne, M. A. Peletier, S. M. Roper2013 · 14 citationsarXiv
Optimality of the triangular lattice for a particle system with Wasserstein interaction1212.6973v3 · D. P. Bourne, M. A. Peletier, F. Theil2012 · 28 citationsarXiv
Is adding charcoal to soil a good method for CO2 sequestration? - Modeling a spatially homogeneous soil1208.5332v2 · David Bourne, Tasnim Fatima, Patrick van Meurs et al.2012 · 5 citationsarXiv
Career total: 29 works. 19 are in this corpus.
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