Turner-Bridges paper accepted for publication in Advances in Computational Mathematics

doubly-connectedThe paper “Time-dependent conformal mapping of doubly-connected regions” co-authored by Matt Turner and Tom Bridges, has been accepted for publication in the Springer journal Advances in Computational Mathematics. The paper studies the evolution of the conformal modulus, an invariant associated with conformal mapping of doubly-connected regions, and develops a generalization of the Hilbert transform, named the Hilbert-Garrick transform, and applies this theory to time-dependent free-surface flows.