Dr David Bourne

  • Honorary Research Fellow (School of Mathematics & Statistics)

Publications

List by: Type | Date

Jump to: 2020 | 2015 | 2014 | 2013 | 2012 | 2010 | 2009 | 2003
Number of items: 12.

2020

Bourne, D.P., Kok, P.J.J., Roper, S.M. and Spanjer, W.D.T. (2020) Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes. Philosophical Magazine, 100(21), pp. 2677-2707. (doi: 10.1080/14786435.2020.1790053)

2015

Bourne, D.P. and Roper, S.M. (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM: Journal on Numerical Analysis, 53(6), pp. 2545-2569. (doi: 10.1137/141000993)

2014

Bourne, D. P., Peletier, M. A. and Theil, F. (2014) Optimality of the triangular lattice for a particle system with Wasserstein interaction. Communications in Mathematical Physics, 329(1), pp. 117-140. (doi: 10.1007/s00220-014-1965-5)

Bourne, D., Fatima, T., van Meurs, P. and Muntean, A. (2014) Is adding charcoal to soil a good method for CO2 sequestration? – Modeling a spatially homogeneous soil. Applied Mathematical Modelling, 38(9-10), pp. 2463-2475. (doi: 10.1016/j.apm.2013.10.064)

Bourne, D.P., Peletier, M. A. and Roper, S.M. (2014) Hexagonal patterns in a simplified model for block copolymers. SIAM Journal on Applied Mathematics, 74(5), pp. 1315-1337. (doi: 10.1137/130922732)

2013

Bansal, N. et al. (2013) Optimization of lifetime in sensor networks. In: Boon, M.A.A., Di Bucchianico, A., Draisma, J., van der Hofstad, R.W., Muntean, A., Peletier, M.A. and Oosterwijk, J. (eds.) Proceedings of the 84th European Study Group Mathematics with Industry. European Study Group Mathematics with Industry: Eindhoven, The Netherlands, pp. 39-69. ISBN 9789064646300

Bourne, D. and Peletier, M.A. (2013) Crystallization in block copolymer melts with a dominant phase [arXiv]. (Unpublished)

2012

Apri, M. et al. (2012) Analysis of a model for ship maneuvering. In: Planque, B., Bhulai, S., Hulshof, J., Kager, W. and Rot, T. (eds.) Proceedings of the 79th European Study Group Mathematics with Industry. VU Publishing: Amsterdam, The Netherlands, pp. 83-116. ISBN 9789086596256

2010

Antman, S.S. and Bourne, D.P. (2010) Rotational symmetry vs. axisymmetry in shell theory. International Journal of Engineering Science, 48(11), pp. 991-1005. (doi: 10.1016/j.ijengsci.2010.09.009)

2009

Bourne, D.P. and Antman, S.S. (2009) A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction. Part I: formulation, analysis, and computations. Communications on Pure and Applied Analysis, 8(1), pp. 123-142. (doi: 10.3934/cpaa.2009.8.123)

Bourne, D.P., Elman, H. and Osborn, J.E. (2009) A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction. Part II: analysis of convergence. Communications on Pure and Applied Analysis, 8(1), pp. 143-160. (doi: 10.3934/cpaa.2009.8.143)

2003

Bourne, D. (2003) Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. Continuum Mechanics and Thermodynamics, 15(6), pp. 571-579.

This list was generated on Wed Sep 22 05:33:44 2021 BST.
Number of items: 12.

Articles

Bourne, D.P., Kok, P.J.J., Roper, S.M. and Spanjer, W.D.T. (2020) Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes. Philosophical Magazine, 100(21), pp. 2677-2707. (doi: 10.1080/14786435.2020.1790053)

Bourne, D.P. and Roper, S.M. (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM: Journal on Numerical Analysis, 53(6), pp. 2545-2569. (doi: 10.1137/141000993)

Bourne, D. P., Peletier, M. A. and Theil, F. (2014) Optimality of the triangular lattice for a particle system with Wasserstein interaction. Communications in Mathematical Physics, 329(1), pp. 117-140. (doi: 10.1007/s00220-014-1965-5)

Bourne, D., Fatima, T., van Meurs, P. and Muntean, A. (2014) Is adding charcoal to soil a good method for CO2 sequestration? – Modeling a spatially homogeneous soil. Applied Mathematical Modelling, 38(9-10), pp. 2463-2475. (doi: 10.1016/j.apm.2013.10.064)

Bourne, D.P., Peletier, M. A. and Roper, S.M. (2014) Hexagonal patterns in a simplified model for block copolymers. SIAM Journal on Applied Mathematics, 74(5), pp. 1315-1337. (doi: 10.1137/130922732)

Bourne, D. and Peletier, M.A. (2013) Crystallization in block copolymer melts with a dominant phase [arXiv]. (Unpublished)

Antman, S.S. and Bourne, D.P. (2010) Rotational symmetry vs. axisymmetry in shell theory. International Journal of Engineering Science, 48(11), pp. 991-1005. (doi: 10.1016/j.ijengsci.2010.09.009)

Bourne, D.P. and Antman, S.S. (2009) A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction. Part I: formulation, analysis, and computations. Communications on Pure and Applied Analysis, 8(1), pp. 123-142. (doi: 10.3934/cpaa.2009.8.123)

Bourne, D.P., Elman, H. and Osborn, J.E. (2009) A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction. Part II: analysis of convergence. Communications on Pure and Applied Analysis, 8(1), pp. 143-160. (doi: 10.3934/cpaa.2009.8.143)

Bourne, D. (2003) Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. Continuum Mechanics and Thermodynamics, 15(6), pp. 571-579.

Book Sections

Bansal, N. et al. (2013) Optimization of lifetime in sensor networks. In: Boon, M.A.A., Di Bucchianico, A., Draisma, J., van der Hofstad, R.W., Muntean, A., Peletier, M.A. and Oosterwijk, J. (eds.) Proceedings of the 84th European Study Group Mathematics with Industry. European Study Group Mathematics with Industry: Eindhoven, The Netherlands, pp. 39-69. ISBN 9789064646300

Apri, M. et al. (2012) Analysis of a model for ship maneuvering. In: Planque, B., Bhulai, S., Hulshof, J., Kager, W. and Rot, T. (eds.) Proceedings of the 79th European Study Group Mathematics with Industry. VU Publishing: Amsterdam, The Netherlands, pp. 83-116. ISBN 9789086596256

This list was generated on Wed Sep 22 05:33:44 2021 BST.