3 papers
math.NA2026
Multilevel Monte Carlo for Polytopic DG Discretisations with Spatially Represented Random Coefficients
Veronika Chronholm, Matt Evans, Emmanuil H. Georgoulis +1
We develop a multilevel Monte Carlo framework for coercive elliptic problems with random diffusion and reaction coefficients on polytopic meshes, with particular emphasis on the ap…
math.NA2025
Geometry, Energy and Sensitivity in Stochastic Proton Dynamics
Veronika Chronholm, Tristan Pryer
We develop numerical schemes and sensitivity methods for stochastic models of proton transport that couple energy loss, range straggling and angular diffusion. For the energy equat…
physics.med-ph2024
Efficient Proton Transport Modelling for Proton Beam Therapy and Biological Quantification
Ben S. Ashby, Veronika Chronholm, Daniel K. Hajnal +4
In this work, we present a fundamental mathematical model for proton transport, tailored to capture the key physical processes underpinning Proton Beam Therapy (PBT). The model pro…