Publications

Goodwill, T., Jiang, S., Rachh, M., Sugita, K. A domain decomposition method for computing the scattering matrix of waveguide circuits. Preprint arXiv 2509.20695

Goodwill, T., Greengard, L., Hoskins, J., Rachh, M, and Wang, Y. Fast multipole method with complex coordinates. Preprint arXiv 2509.05458

Agocs, F., Goodwill, T. and Hoskins, J. Complex scaling for the junction of semi-infinite gratings. Preprint arXiv 2509.02951

Epstein, C., Goodwill, T., Hoskins, J., Quinn, S. and Rachh, M. Complex scaling for open waveguides. Preprint arXiv 2506.10263

Goodwill, T. and Epstein, C. A numerical method for scattering problems with unbounded interfaces. Preprint arXiv 2411.11204.

Goodwill, T. and O’Neil, M. A parametrix method for elliptic surface PDEs. Pure and Applied Analysis 7(1), 2025. arXiv link

Goodwill, T. and O’Neil, M. An interface formulation of the Laplace-Beltrami problem on piecewise smooth surfaces. SIAM Journal on Mathematical Analysis 55(6), 2023. arXiv link

Li, H., Goodwill, T., Wang, Z. J., and Ristroph, L. Centre of mass location, flight modes, stability and dynamic modelling of gliders. Journal of Fluid Mechanics, 937, 2022.

Morsy-Osman, M., Sowailem, M., El-Fiky, E., Goodwill, T., Hoang, T., Lessard, S., and Plant, D. V. DSP-free coherent-lite transceiver for next generation single wavelength optical intra-datacenter interconnects. Optics Express, 26(7), 2018.