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David Bourne
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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
562018
Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues
D Bourne
Continuum Mechanics and Thermodynamics 15, 571-579, 2003
442003
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
312015
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
282020
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
272013
Energy bounds for a compressed elastic film on a substrate
DP Bourne, S Conti, S Müller
Journal of Nonlinear Science 27, 453-494, 2017
202017
Semi-discrete unbalanced optimal transport and quantization
DP Bourne, B Schmitzer, B Wirth
arXiv preprint arXiv:1808.01962, 2018
192018
Hexagonal patterns in a simplified model for block copolymers
DP Bourne, MA Peletier, SM Roper
arXiv:1305.6540, 2013
142013
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
92011
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
8*2013
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
62021
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
62008
The Taylor-Couette problem for flow in a deformable cylinder
DP Bourne
PhD thesis, University of Maryland, College Park, 2007
62007
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
52018
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
52016
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
42023
A Brief Introduction to Optimal Transport Theory
DP Bourne
Lecture notes from the, 2018
42018
Rotational symmetry vs. axisymmetry in shell theory
SS Antman, D Bourne
International journal of engineering science 48 (11), 991-1005, 2010
42010
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
32022
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
32022
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