Iain has recently completed his DPhil under the supervision of Prof. Endre Süli in the Numerical Analysis Group in Oxford. His research is on computational algorithms for solving a class of highly nonlinear partial differential equations called Hamilton–Jacobi–Bellman equations. These equations arise in models of stochastic control that originate in a wide range of application areas, including engineering, finance and energy. He developed highly accurate and flexible methods for a broad class of these equations, thereby leading to significant gains in terms of computational efficiency over existing approaches. The results of his work are set out in two publications in SIAM Journal on Numerical Analysis, and one publication in Numerische Mathematik.
Alex Townsend is a former student of Nick Trefethen, Oxford Professor of Numerical Analysis. Second prizes were awarded to Patrick Farrell, who is currently at Oxford, and John W. Pearson, a former student of Andy Wathen in the Numerical Analysis Group at Oxford.