Research output per year
Research output per year
Personal profile
Biography
Please follow this link for my personal web page, which includes my CV, publication list, list of grants, research group and software libraries:
After doing my undergraduate degree at Durham University (UK) I started my world tour. I did my PhD at the University of Maryland, College Park (USA) under the supervision of Stuart S. Antman. This was followed by postdocs with Stefan Müller in Leipzig and Bonn (Germany) and with Mark Peletier in Eindhoven (the Netherlands). My first lectureship was a temporary lectureship at the University of Glasgow in 2012. My first permanent academic job was at Durham University in 2014. After years of travelling around, I came to Heriot-Watt University in 2018 as an Associate Professor in the Department of Mathematics.
Research interests
My research area is optimal transport theory and applications. In the last few years one of my main interests has been semi-discrete optimal transport theory and its applications to materials science (synthetic microstructure generation), weather modelling (the semi-geostrophic equations), pattern formation (crystallization), and optimal quantization.
Key Research Words/Phrases
- optimal transport theory & semi-discrete optimal transport theory
- computational geometry: Laguerre tessellations, power diagrams
- computational materials science: synthetic microstructure generation, polycrystalline materials
- meteorology: semi-geostrophic equations
- energy-driven pattern formation: crystallization and optimal quantization
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Fingerprint
Dive into the research topics where David Bourne is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
- 1 Similar Profiles
-
Inverting Laguerre tessellations: recovering tessellations from the volumes and centroids of their cells using optimal transport
Bourne, D., Pearce, M. & Roper, S. M., Mar 2025, In: ESAIM: Mathematical Modelling and Numerical Analysis. 59, 2, p. 841-871 31 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Downloads (Pure) -
Anisotropic power diagrams for polycrystal modelling: Efficient generation of curved grains via optimal transport
Buze, M., Feydy, J., Roper, S. M., Sedighiani, K. & Bourne, D. P., Oct 2024, In: Computational Materials Science. 245, 113317.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)13 Downloads (Pure) -
Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport
Bourne, D. P., Pearce, M. & Roper, S. M., Jan 2023, In: Mechanics Research Communications. 127, 104023.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)29 Downloads (Pure) -
A new implementation of the geometric method for solving the Eady slice equations
Egan, C. P., Bourne, D. P., Cotter, C. J., Cullen, M. J. P., Pelloni, B., Roper, S. M. & Wilkinson, M., 15 Nov 2022, In: Journal of Computational Physics. 469, 111542.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)55 Downloads (Pure) -
Semi-discrete optimal transport methods for the semi-geostrophic equations
Bourne, D. P., Egan, C. P., Pelloni, B. & Wilkinson, M., Feb 2022, In: Calculus of Variations and Partial Differential Equations. 61, 1, 39.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)108 Downloads (Pure)