Curriculum Vitae
Current Employment
Employment History
Education
Teaching Experience
 HeriotWatt University
 F17CB Calculus B (lecturer, tutor)
 F18NA Numerical Analysis A (lecturer, tutor, computer labs)
 F10ND/F11ND/F71NT Numerical Techniques for PDEs (lecturer, computer labs)
 F10MM/F11MM Optimisation (lecturer, computer labs)
 4th year project advisor
 5th year project advisor
 MSc project advisor
 MACMIGS PhD course Mathematical Modelling and Applied Analysis
 MIGS PhD course Optimal Transport Theory
 Durham University
 Approximation Theory and Solution of ODEs III/IV (lecturer)
 Partial Differential Equations III/IV (lecturer)
 Analysis I (tutor)
 Numerical Analysis II (tutor and computer labs)
 3H project advisor (16 students)
 4H project advisor (3 student)
 MSc project advisor (2 students)
 University of Glasgow
 1R Calculus (lecturer)
 E1 Calculus for Aeronautical Engineers (lecturer)
 2A Multivariable Calculus (lecturer)
 2D Topics in Linear Algebra and Calculus (lecturer)
 2M Financial Modelling (tutor)
 3H Mechanics of Rigid and Deformable Bodies (lecturer)
 4H project advisor (2 students)
 5M project advisor (1 student)
 SMSTC PhD course Applied Mathematics Methods (tutor)
 Eindhoven University of Technology
 2WA17 Ordinary Differential Equations (tutor)
 University of Maryland
 MATH 115 Precalculus (lecturer)
 MATH 242/ENEE 241 Numerical Techniques in Engineering (computer labs)
 AMSC 466 Introduction to Numerical Analysis (grader)
 AMSC 666 Numerical Analysis I (grader)
Publications
 Bourne, D.P., Schmitzer, B. & Wirth, B. (2024)
Semidiscrete unbalanced optimal transport and quantization, arXiv:1808.01962.
PDF

Bourne, D.P., Pearce, M. & Roper, S.M. (2024) Inverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport, arXiv:2406.00871. PDF software
 Buze, M., Feydy, J., Roper, S.M., Sedighiani K. & Bourne, D.P. (2024) Anisotropic power diagrams for polycrystal modelling: Efficient generation of curved grains via optimal transport, Computational Materials Science 245, 113317. PDF software

Bourne, D.P., Pearce, M. & Roper, S.M. (2023) Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semidiscrete optimal transport,
Mechanics Research Communications 127, 104023. PDF
software

Egan, C.P., Bourne, D.P., Cotter, C.J., Cullen, M.J.P., Pelloni, B., Roper, S.M. & Wilkinson, M. (2022)
A new implementation of the geometric method
for solving the Eady slice equations,
Journal of Computational Physics 469, 111542. PDF
software

Bourne, D.P., Egan, C., Pelloni, B. & Wilkinson, M. (2022)
Semidiscrete optimal transport methods for the semigeostrophic equations,
Calculus of Variations and Partial Differential Equations, 61, 39. PDF

Bourne, D.P. & Cristoferi, R. (2021) Asymptotic optimality of the triangular lattice for a class of optimal location problems,
Communications in Mathematical Physics, 387, 15491602. PDF

Bourne, D.P., Mulholland, A.J., Sahu, S. and Tant, K.M.M. (2021) An inverse problem for Voronoi diagrams: A simplified model of nondestructive testing with ultrasonic arrays,
Mathematical Methods in the Applied Sciences, 44, 37273745 PDF

Bourne, D.P., Kok, P.J.J., Roper, S.M. & Spanjer, W.D.T. (2020)
Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes,
Philosophical Magazine, 100, 26772707. PDF
software
 Madge, J., Bourne, D. & Miller, M.A. (2018) Controlling fragment competition on pathways to addressable selfassembly, Journal of Physical Chemistry B, 122, 98159825. PDF
 Bourne, D.P., Cushing, D., Liu, S., Münch F. & Peyerimhoff, N. (2018)
OllivierRicci idleness functions of graphs. SIAM Journal on Discrete Mathematics, 32, 14081424.
PDF
 Bourne, D.P., Conti, S. & Müller, S. (2017) Energy bounds for a compressed elastic film on a
substrate. Journal of Nonlinear Science, 27, 453494.
PDF
 Bourne, D.P., Conti, S. & Müller, S. (2016)
Folding patterns in partially delaminated thin films. In
Innovative Numerical Approaches for MultiField and MultiScale Problems,
Pandolfi, A. & Weinberg, K. (eds.), Springer, 2539.
PDF

Avelino, C., Bourne, D.P., Ferreira, F., Rasteiro, D. & Santos, J. (2016)
Scheduling the repair of aircraft components  a case study.
MathematicsinIndustry Case Studies, 7.
PDF
 Bourne, D.P. & Roper, S.M. (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM Journal on Numerical Analysis, 53, 25452569. PDF
 Antman, S.S. & Bourne, D.P. (2015) Steady bifurcating solutions
of the CouetteTaylor problem for flow in a deformable cylinder. Journal of Dynamics and Differential Equations, 27, 457483.
PDF
 Bourne, D.P., Peletier, M.A. & Roper, S.M. (2014) Hexagonal patterns in a simplified model for block copolymers. SIAM Journal on Applied Mathematics, 74, 13151337. PDF
 Bourne, D.P., Peletier, M.A. & Theil, F. (2014) Optimality of the triangular lattice for a particle system with Wasserstein interaction.
Communications in Mathematical Physics, 329, 117140.
PDF

Bourne, D.P., Fatima, T., Meurs, P.J.P. van & Muntean, A. (2014) Is adding charcoal to soil a good method for CO2 sequestration?  Modeling a spatially homogeneous soil. Applied Mathematical Modelling, 38, 24632475.
PDF
 Antman, S.S. & Bourne, D.P. (2010) Rotational symmetry vs. axisymmetry in shell theory. International Journal of Engineering Science, 48, 9911005. PDF
 Bourne, D.P., Elman, H. & Osborn, J.E. (2009) A nonselfadjoint quadratic eigenvalue problem describing a fluidsolid interaction Part II: Analysis of convergence. Communications on Pure and Applied Analysis, 8, 143160. PDF
 Bourne, D.P. & Antman, S.S. (2009) A nonselfadjoint quadratic eigenvalue problem describing a fluidsolid interaction Part I: Formulation, analysis, and computations. Communications on Pure and Applied Analysis, 8, 123142. PDF
 Bourne, D.P. (2003) Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. Continuum Mechanics and Thermodynamics, 15, 571579. DVI
Grants

EPSRC grant EP/V00204X/1
Mathematical Theory of Polycrystalline Materials, £576,848, 1 April 2021  31 March 2025, CoI (with John Ball PI and Lucia Scardia CoI)

EPSRC First grant EP/R013527/1,
EP/R013527/2 Designer Microstructure via Optimal Transport Theory, £101,152, 1 Jan 2018  31 May 2020, PI
Invited Talks and Conferences
 Conference Organisation
 Multiscale Mechanics and Artificial Microstructures, ICMS, Edinburgh Futures Institute, 23 December 2024 (with Lucia Scardia)
 Mathematical Materials Science: Defects and Polycrystals, ICMS, Edinburgh, 1418 October 2024 (with John Ball & Lucia Scardia)
 Optimal Transport and the Calculus of Variations, ICMS, Edinburgh, 1115 December 2023 (with Alpár Mészáros & Lucia Scardia)

Polycrystals: Microstructure and Plasticity, ICMS, Edinburgh, 1922 April 2022 (with John Ball, Myrto Galanopoulou & Lucia Scardia)
 Minisymposium MS27: Geometric Optimization Problems in Materials Science,
SIAM Conference on Mathematical Aspects of Materials Science, online, 1728 May 2021 (with Riccardo Cristoferi)
 MACMIGS afternoon on Computational Optimal Transport and Applications, MACMIGS CDT, Edinburgh, 10 July 2020 (with Beatrice Pelloni)
 Optimal Transport and Optimal Patterns, ICMS, Edinburgh, 25 September 2019 (with Riccardo Cristoferi)
 Special Session SS120: New developments in the variational analysis of elastic and complex media, 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, 59 July 2018 (with Jonathan Bevan & Caterina Zeppieri)
 Young Applied Analysts in the UK II, University of Bath, 2627 May 2016 (with Lucia Scardia)
 Minisymposium on Variational Methods for Rods and Shells,
SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, 812 May 2016 (with Patrick Dondl)
 Young Applied Analysts in the UK, University of Glasgow, 2930 May 2014 (with Lucia Scardia)
 Recent Invited Talks & Visits
 University of Warwick, Applied Mathematics Seminar, 25 October 2024
 Discontinuities and Singularities in Nonlinear Evolution PDEs, University of Oxford, 78 October 2024
 MTNS 2024,
Invited session Optimal Transport: Theory and Applications in Networks and Systems, University of Cambridge, 1923 August 2024
 Invited visitor at Université ParisSaclay, 2731 May 2024
 Applications of Optimal Transportation, Oberwolfach, 49 February 2024
 LMS Invited Lecture Series 2023: Optimal transport and its applications, Durham Univeristy, 1721 July 2023
 British Mathematics Colloquium, Workshop on Geometric Analysis and PDEs, University of Bath, 4 April 2023
 Invited visitor at Université ParisSaclay, 2731 March 2023
 Optimal Transport Theory: Applications to Physics, Les Houches School of Physics, 1217 March 2023
 Optimal Transport and Machine Learning, University of Warwick, 23 January 2023
 University of Liverpool, Applied Mathematics seminar, 7 December 2022
 Durham University, Analysis and PDE seminar, 1 December 2022
 Discrete Systems and Calculus of Variations, TU Munich, 711 November 2022
 Newcastle University, Analysis seminar, 18 October 2022
 Workshop on Analysis and PDEs, University of Sussex, 1315 June 2022
 Quantization, location, sampling and matching, Lagrange Mathematics and Computation Research Center, Paris, 1415 March 2022
 Université Claude Bernard Lyon 1 & ENS Lyon (online), Modelling, Analysis and Scientific Computing seminar, 4 May 2021
 Colloquium on Artificial Microstructures (online), organized by Carola CeladaCasero, Tata Steel Europe, 18 March 2021
 HeriotWatt University (online), Maths Café Talk, 17 February 2021
 University of Bath, Asymptotics, Operators, and Functionals seminar, 28 September 2020
 Mathematical Challenges in the Electromagnetic Environment, Isaac Newton Institute, Cambridge, 1518 September 2020
 TU Munich, SFB Colloquium, 3 December 2019
 ETH Zürich, Analysis Seminar, 26 November 2019
 University of Warwick, Analysis Seminar, 7 November 2019
 University of Strathclyde, Applied Analysis Seminar, 5 November 2019
 6th Applied Mathematics Symposium, University of Münster, 1619 September 2019
 IMA talk, University of Strathclyde, 8 May 2019
 Minisymposium on Optimal Transport in the Analysis of Signals and Images,
British Applied Mathematics Colloquium, University of Bath, 24 April 2019
 Workshop on Calculus of Variations, University of Sussex, 1920 March 2019
 Mathematical Design of New Materials: Strategies and Algorithms for the Design of Alloys and Metamaterials, ICMS, Edinburgh, 1115 March 2019
 AIMR Workshop on Pure and Applied Mathematics, Advanced Institute of Materials Research, Tohoku University, Japan, 78 January 2019
 University of Warwick, Applied Mathematics Seminar, 7 December 2018
 University of Sussex, Analysis and PDEs seminar, 29 October 2018
 HeriotWatt AMS & Mathematics New Staff seminar, 20 September, 2018

Meeting in Applied Mathematics and Calculus of Variations, Sapienza, University of Rome, 36 September, 2018

12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, 59 July 2018

NODES Seminar, Newcastle University, 16 May 2018

University of Münster, Oberseminar Angewandte Mathematik, 29 November 2017
 University of Bristol, Fluids and Materials seminar, 2 November 2017

Workshop on AggregationDiffusion PDEs: Variational Principles, Nonlocality and Systems, Anacapri, 1014 July 2017
 University of Newcastle, Annual School of Maths and Stats REF Impact Event, 16 June 2017
 University of Cambridge, Geometric Analysis and Partial Differential Equations seminar, 27 February 2017

LMS Regional Workshop on Partially Ordered Materials: Mathematical Perspectives and Challenges, University of Bath, 21 December 2016
 University of Glasgow, Applied Mathematics seminar, 15 December 2016
 University of Sussex, Analysis and PDEs seminar, 21 November 2016

Shanghai Jiaotong Univeristy, 7 September 2016

PIMS Workshop on Nonlocal Variational Problems and PDEs, Pacific Institute for the Mathematical Sciences, University of British Columbia, 1317 June 2016

Fourth Scottish Partial Differential Equations Colloquium, University of Dundee, 910 June 2016
 Minisymposium on Defects and Patterns in Thin Elastic Structures,
SIAM Conference on Mathematical Aspects of Materials Science, 812 May 2016
 University of Oxford, PDE seminar, 29 February 2016
 Variational and PDE problems in Applied Mathematics,
University of Pisa, 1012 February 2016

University of Nottingham, Algebra and Analysis seminar, 3 February 2016
 Outreach
 RI Institution Masterclass for Year 8 students, University of the West of England, Bristol, 11 November 2017
 RI Institution Masterclass for middle school students, University of Glasgow, 23 November 2013
 RI Institution Masterclass for middle school students, University of Glasgow, 24 November 2012
 Minicourses and Lectures
 LMS Undergraduate Summer School, University of Glasgow, 1627 July 2018
 Minicourse for the MIGSAA CDT: Introduction to Optimal Transport Theory, ICMS, Edinburgh, 1314 December 2017 (4 onehour lectures, 14:0015:00 and 15:3016:30 on 13 & 14 December),
sponsored by the GMJ Learning and Research Support Fund
 Lecture: Introduction to Optimal Transport Theory,
sponsored by the GMJ Learning and Research Support Fund, University of Dundee, 12 December 2017
 Minicourse: Applications of Voronoi diagrams in Mathematical Biology, sponsored by the GMJ Learning and Research Support Fund, University of Glasgow, 23 June 2015
 Lecture: Theory and Applications of Voronoi Diagrams,
sponsored by the GMJ Learning and Research Support Fund, University of Strathclyde, 27 May 2015
Study Groups with Industry
 Atom Bank, Durham, UK
 Teknova, Kristiansand, Norway
 Thales Nederland, Huizen, The Netherlands
 TAP Maintenance & Engineering, Lisbon, Portugal
 MARIN Maritime Research Institute Netherlands, Wageningen, The Netherlands
Professional Affiliations
 Fellow of the Higher Education Academy
 Edinburgh Mathematical Society
 London Mathematical Society
Awards
 Shortlisted for a HeriotWatt Oscar, for the Switched On Award, HeriotWatt University (2019)
 Shortlisted for the 201314 Student Teaching Award for Innovative Teaching at the University of Glasgow (March 2014)
 Levermore Foundation Travel Award,
Department of Mathematics, University of Maryland, USA (2006)
 SIAM Student Travel Award for the
SIAM Conference on Analysis of Partial Differential Equations, Boston, USA (July 2006)
 Dissertation Fellowship, Department
of Mathematics, University of Maryland, USA (spring semester 2006)
 Monroe Martin Prize for winning
The Spotlight on Graduate Research Presentation Competition, Department of Mathematics, University of
Maryland, USA (2005)
 Edward Collingwood Memorial Prize,
Department of Mathematics, Durham University, UK (2002)
 Mathematical Sciences 4H Project Prize for the best final year project,
Department of Mathematics, Durham University, UK (2002)