Sloan, Ian

Emeritus Professor Ian Sloan is a Professor in the School of Mathematics and Statistics at The University of New South Wales. His research focuses on computational mathematics, including numerical integration, approximation theory, and boundary integral equations. He has contributed significantly to the numerical solution of integral equations and the complexity of continuous problems. Sloan has held leadership roles within the Australian Mathematical Society and the International Council for Industrial and Applied Mathematics. He has been a member of several editorial boards and has received numerous awards, including the ANZIAM Medal, the Thomas Ranken Lyle Medal, and the Information Based Complexity Prize. He is also a Fellow of the Australian Academy of Science and the Royal Society of New South Wales.

Ian H Sloan is a scholar specializing in Numerical Analysis, Approximation Theory, Complexity, and Theoretical Physics. His research focuses on high-dimensional integration, quasi-Monte Carlo methods, and their applications to elliptic partial differential equations with random coefficients. He has developed lattice methods for multiple integration and explored the tractability of multivariate integration for weighted Korobov classes. His work includes the construction of randomly shifted lattice rules in weighted Sobolev spaces and the analysis of collocation-type methods for Hammerstein integral equations. Sloan's contributions emphasize the efficiency and accuracy of numerical methods in high-dimensional settings, particularly in the context of approximation theory and computational mathematics.