Publications

My publications to date are given below.

Harmonic-measure distribution functions of multiply connected domains with various geometries

C. C. Green, A. Mahenthiram & L. A. Ward (2024). Proceedings of the Royal Society A.

Fast computation of analytic capacity

M. M. S. Nasser, C. C. Green & M. Vuorinen (2024). Computational Methods & Function Theory.

Towards computing the harmonic-measure distribution function for the middle-thirds Cantor set

C. C. Green & M. M. S. Nasser (2023). Journal of Computational & Applied Mathematics.

Computation of plane potential flow past multi-element airfoils using the Schottky-Klein prime function

C. C. Green & T. K. DeLillo (2022). Physica D.

Harmonic-measure distribution functions for a class of multiply connected symmetrical slit domains

C. C. Green, M. A. Snipes, L. A. Ward & D. G. Crowdy (2021). Proceedings of the Royal Society A.

Selection of a Hele-Shaw bubble via exponential asymptotics

C. J. Lustri, C. C. Green & S. W. McCue (2019). SIAM Journal of Applied Mathematics.

A fast numerical method for ideal fluid flow in domains with multiple stirrers

M. M. S. Nasser & C. C. Green (2018). Nonlinearity.

The effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cell

C. C. Green, C. J. Lustri & S. W. McCue (2017). Proceedings of the Royal Society A.

The Schottky-Klein prime function: a theoretical and computational tool for applications

D. G. Crowdy, E. H. Kropf, C. C. Green & M. M. S, Nasser (2016). IMA Journal of Applied Mathematics.

Analytical solutions for two hollow vortex configurations in an infinite channel

C. C. Green. (2015). European Journal of Mechanics B/Fluids.

Multiple steadily translating bubbles in a Hele-Shaw channel

C. C. Green, G. L. Vasconcelos (2014). Proceedings of the Royal Society A.

Green’s function for the Laplace-Beltrami operator on a toroidal surface

C. C. Green & J. S. Marshall (2013). Proceedings of the Royal Society A.

Analytical solutions for von Karman streets of hollow vortices

D. G. Crowdy, & C. C. Green (2012). Physics of Fluids.

Conformal mappings to multiply connected polycircular arc domains

D. G. Crowdy, A. S. Fokas & C. C. Green (2011). Computational Methods & Function Theory.