Curriculum Vitae


Current Employment


Employment History


Education


Teaching Experience


Publications

  1. Bourne, D.P., Schmitzer, B. & Wirth, B. (2018) Semi-discrete unbalanced optimal transport and quantization, submitted. PDF
  2. Madge, J., Bourne, D. & Miller, M.A. (2018) Controlling fragment competition on pathways to addressable self-assembly, accepted in Journal of Physical Chemistry B. PDF
  3. Bourne, D.P., Cushing, D., Liu, S., Münch F. & Peyerimhoff, N. (2018) Ollivier-Ricci idleness functions of graphs. SIAM Journal on Discrete Mathematics, 32, 1408-1424. PDF
  4. Bourne, D.P., Conti, S. & Müller, S. (2017) Energy bounds for a compressed elastic film on a substrate. Journal of Nonlinear Science, 27, 453-494. PDF
  5. Bourne, D.P., Broadfoot, K., Caiado, C., Charlesworth, H., Feier, R., Hilton, J., Huntley, N., Piwarska, K., Rowinska, P., Shatil, N. & Ying, F. (2016) Optimizing the diffusion of innovations in saturated markets. Proceedings of the 116th European Study Group with Industry.
  6. Bourne, D.P., Conti, S. & Müller, S. (2016) Folding patterns in partially delaminated thin films. In Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems, Pandolfi, A. & Weinberg, K. (eds.), Springer, 25-39. PDF
  7. Avelino, C., Bourne, D.P., Ferreira, F., Rasteiro, D. & Santos, J. (2016) Scheduling the repair of aircraft components - a case study. Mathematics-in-Industry Case Studies, 7. PDF
  8. Bourne, D.P., Jones, G., Whittaker, R. & Zagórowska, M. (2015) Slag Interface Instability. Proceedings of the 107th European Study Group with Industry.
  9. 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, 2545-2569. PDF
  10. Antman, S.S. & Bourne, D.P. (2015) Steady bifurcating solutions of the Couette-Taylor problem for flow in a deformable cylinder. Journal of Dynamics and Differential Equations, 27, 457-483. PDF
  11. 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, 1315-1337. PDF
  12. 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, 117-140. PDF
  13. 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, 2463-2475. PDF
  14. Bansal, N., Bourne, D.P., Firat, M., Graaf, M. de, Kapodistria, S., Kumar, K., Meerman, C., Mitici M., Nardi, F.R., de Rijk, B., Sarwat, S. & Scardia, L. (2012) Optimization of lifetime in sensor networks. Proceedings of the 84th European Study Group Mathematics with Industry, 39-69. PDF
  15. Apri, M., Banagaaya, N., Berg, J.B. van den, Brussee, R., Bourne, D.P., Fatima T., Irzal, F., Rademacher, J., Rink, B., Veerman, F. & Verpoort, S. (2011) Analysis of a model for ship maneuvering. Proceedings of the 79th European Study Group Mathematics with Industry, 83-116. PDF
  16. Antman, S.S. & Bourne, D.P. (2010) Rotational symmetry vs. axisymmetry in shell theory. International Journal of Engineering Science, 48, 991-1005. PDF
  17. Bourne, D.P., Elman, H. & Osborn, J.E. (2009) A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction Part II: Analysis of convergence. Commun. Pure Appl. Anal., 8, 143-160. PDF
  18. Bourne, D.P. & Antman, S.S. (2009) A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction Part I: Formulation, analysis, and computations. Commun. Pure Appl. Anal., 8, 123-142. PDF
  19. Bourne, D.P. (2003) Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. Contin. Mech. Thermodyn., 15, 571-579. DVI

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