Patrick Farrell has been awarded the 2025 Germund Dahlquist Prize by Society for Industrial and Applied Mathematics (SIAM) in recognition of outstanding contributions to the numerical solution of differential equations and numerical methods for scientific computing.
Patrick is a professor in the Numerical Analysis group here in Oxford Mathematics and a Tutorial Fellow at Oriel College, Oxford. For 2025 and 2026 he is also the Donatio Universitatis Carolinæ Chair at the Faculty of Mathematics and Physics at Charles University in Prague.
Patrick works on the numerical solution of partial differential equations, with a particular focus on finite element methods; bifurcation analysis of nonlinear PDE; adjoint techniques, their application and automation; and preconditioners and fast solvers. He has applied the numerical techniques he develops to problems in the areas of mixtures, renewable energy, cardiac electrophysiology, glaciology, magnetohydrodynamics, quantum mechanics, and liquid crystals.
Patrick will deliver a lecture titled, “Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables” at Scientific Computing and Differential Equations 2026 at the end of the month. In July 2026 he will give a section lecture at the International Congress of Mathematicians.
PS: they are running a year behind on the prize because of the Pandemic, hence 2025.