[bourne]

Associate Professor, Heriot-Watt University

**Email:** *D.Bourne AT hw.ac.uk*

**Home-page:** http://www.macs.hw.ac.uk/~db92/

- D. Bourne - C. Egan - B. Pelloni - M. Wilkinson (Submitted Paper)

Semi-discrete optimal transport methods for the semi-geostrophic equations (2021) - D. Bourne - P. J. J. Kok - S. M. Roper - W. D. T. Spanjer (
*Philosophical Magazine*)

Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes (2020) - D. Bourne - R. Cristoferi (Submitted Paper)

Asymptotic optimality of the triangular lattice for a class of optimal location problems (2020) - D. Bourne - D. Cushing - S. Liu - F. Münch - N. Peyerimhoff (
*SIAM Journal on Discrete Mathematics*)

Ollivier-Ricci idleness functions of graphs (2018) - D. Bourne - B. Schmitzer - B. Wirth (Submitted Paper)

Semi-discrete unbalanced optimal transport and quantization (2018) - D. Bourne - S. Conti - S. Müller (
*Journal of Nonlinear Science*)

Energy Bounds for a Compressed Elastic Film on a Substrate (2017) - D. Bourne - S. Conti - S. Müller (
*Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems, A. Pandolfi and K. Weinberg (eds.), Springer*)

Folding patterns in partially delaminated thin films (2016) - D. Bourne - S. Roper (
*SIAM Journal on Numerical Analysis*)

Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems (2015) - D. Bourne - M. Peletier - F. Theil (
*Communications in Mathematical Physics*)

Optimality of the triangular lattice for a particle system with Wasserstein interaction (2014) - D. Bourne - M. Peletier - S. Roper (
*SIAM Journal on Applied Mathematics*)

Hexagonal patterns in a simplified model for block copolymers (2014)

*16 sep 2019 - 19 sep 2019:*6th Applied Mathematics Symposium Münster: recent advances in the Calculus of Variations*3 sep 2018 - 6 sep 2018:*Meeting on Applied Mathematics and Calculus of Variations*10 feb 2016 - 12 feb 2016:*mini-workshop "Variational and PDE problems in Applied Mathematics"*2 mar 2015 - 6 mar 2015:*New Perspectives in Analysis and Probability

*2 sep 2019 - 5 sep 2019:*Optimal Transport and Optimal Patterns*29 may 2014 - 30 may 2014:*Young Applied Analysts in the UK