- Bourne, D.P. (2003) Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues.
*Contin. Mech. Thermodyn.*, 15, 571-579. DVI - Ph.D. Thesis: (2007)
*The Taylor-Couette Problem for Flow in a Deformable Cylinder.*The University of Maryland, College Park, USA. - 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 - 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 - Antman, S.S. & Bourne, D.P. (2010) Rotational symmetry vs. axisymmetry in shell theory.
*International Journal of Engineering Science*, 48, 991-1005. PDF - 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 - 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 -
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 - 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 - Antman, S.S. & Bourne, D.P. Steady bifurcating solutions
of the Couette-Taylor problem for flow in a deformable cylinder. To appear in
*Journal of Dynamics and Differential Equations.*Published online Feb. 2014: DOI 10.1007/s10884-013-9344-z. PDF - Bourne, D.P., Peletier, M.A. & Roper, S.M. Hexagonal patterns in a simplified model for block copolymers. To appear in
*SIAM Journal on Applied Mathematics*. PDF - Bourne, D.P. & Roper, S.M. Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. Submitted. PDF
- Bourne, D.P., Conti S. & Müller, S. Folding patterns in thin semiconductor films. In preparation.

- MARIN (Maritime Research Institute Netherlands)
- TAP Maintenance & Engineering
- Thales Nederland

This was also in collaboration with M. Apri, N. Banagaaya, J. B. van den Berg, R. Brussee, T. Fatima, F. Irzal, J. Rademacher, B. Rink, F. Veerman, S. Verpoort.

Read more about the project here