Dr. Arieh Iserles

Biography

Arieh Iserles is a Professor of Numerical Analysis at the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. His research interests encompass the numerical solution of differential equations, with a particular focus on computational mathematics. Recent work has emphasized highly oscillatory phenomena in computation, specifically effective discretization methods for highly oscillatory integrals. He is engaged in problems within numerical analysis, such as solving rapidly oscillating ordinary differential equations and computing spectra of Fredholm operators. Iserles has contributed to the field with methods that conserve invariants in geometric integration, focusing on discretization methods for equations evolving on Lie groups and homogeneous manifolds. His approach includes methods that maintain volume and utilize symplectic techniques, along with composition techniques. He also explores effective approximations for matrix exponentials and solutions to high oscillation ordinary differential equations, particularly relevant in electronic engineering. Additionally, his work addresses isospectral flows with Lie–Poisson structures and numerical issues related to matrix analysis arising from isospectral flows.

Research Interests

Experience