James Hoult

James Hoult is a Visiting Lecturer in Mathematics at the University of Chester, affiliated with the Faculty of Business, Science and Enterprise. He holds a first-class BSc (2016) and MSc with distinction (2018) in Mathematics from the same institution and is currently pursuing his PhD in Mathematics since 2021.

His research focuses on the numerical analysis of Stochastic Fractional Differential Equations (SFDEs), particularly subdiffusion and superdiffusion models with additive/multiplicative noise. He employs techniques like the Finite Difference scheme, L1 scheme, and piecewise constant functions to approximate solutions and analyze error estimates/stability properties.