Publications | MathRad

By Charalambos G. Makridakis, Aaron Pim, Tristan Pryer

A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods

Preprint, November 2024

By Charalambos G. Makridakis, Aaron Pim, Tristan Pryer

Deep Uzawa for PDE constrained optimisation

Preprint, October 2024

By Theophile Bonnet and Heather Belanger

Branchless collisions for reducing spatial correlations in continuous energy Monte Carlo power iteration

EPJ Web of Conferences 302, 09005 (2024)

By Congjin Ding, Mikolaj Adam Kowalski, and Eugene Shwageraus

Performance Evaluation of a New Transport Operator in SCONE Monte Carlo Code

Proceedings of the Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo, October 2024

By Alastair Crossley, Karen Habermann, Emma Horton, Jere Koskela, Andreas E. Kyprianou and Sarah Osman.

Jump stochastic differential equations for the characterisation of the Bragg peak in proton beam radiotherapy.

Preprint, September 2024

By Michael Benaim, Oliver Tough

On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching

Probability Theory and Related Fields, August 2024

By Julien Berestycki, Oliver Tough

Selection principle for the N-BBM

Preprint, July 2024

By Eric Dumonteil, Emma Horton, Andreas E. Kyprianou and Andrea Zoia

Limit theorems for the neutron transport equation

Preprint, July 2024

By Emma Horton, Andreas E. Kyprianou, Pedro Martín-Chávez, Ellen Powell, Victor Rivero

Stability of (sub)critical non-local spatial branching processes with and without immigration

Preprint, July 2024

By Valeria Raffuzzi, Paul Cosgrove, Patrick C. Shriwise and John R. Tramm

Application of the Random Ray Method to Global Variance Reduction in Radiation Shielding Problems

Proceedings of PHYSOR 2024, April 2024

By Mikolaj Adam Kowalski, Congjin Ding, and Eugene Shwageraus

Particle Tracking in Involute-based Reactor Geometries in SCONE Monte Carlo Code

Proceedings of PHYSOR 2024, April 2024

By Simon Harris, Emma Horton, Andreas Kyprianou and Ellen Powell

Many-to-few for non-local branching Markov process

Electronic Journal of Probability, 29: 1-26 (2024)

By Ben Ashby, Tristan Pryer

Discretisation of an Oldroyd-B viscoelastic fluid flow using a Lie derivative formulation

Preprint, January 2024

By Oliver Tough

Scaling limit of the Fleming–Viot MultiColor process

The Annals of Probability. 51 (6) 2345 - 2386, November 2023

By Emma Horton, Andreas Kyprianou

Stochastic Neutron Transport and Non-Local Branching Markov Processes

ISBN 978-3-031-39545-1, November 2023

By Abdolreza Amiri, Gabriel R. Barrenechea, Tristan Pryer

A nodally bound-preserving finite element method for reaction-convection-diffusion equations

Preprint, November 2023

By Alexander M. G. Cox, Laura Hattam, Andreas E. Kyprianou, Tristan Pryer

A Bayesian Inverse Approach to Proton Therapy Dose Delivery Verification

Preprint, November 2023

By Colin J Cotter, Darryl D Holm and Tristan Pryer

Singular solutions of the r-Camassa–Holm equation

Nonlinearity, Volume 36, Number 11. October 2023

By Michel Benaïm, Oliver Tough

On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching

Preprint, October 2023

By Wai-Tong Louis Fan, Oliver Tough

Quasi-stationary behavior of the stochastic FKPP equation on the circle

Preprint, September 2023

By Ana Lourenco, N Lee, F Charlwood, J Lambert, J A Vera-Sánchez, M Hussein, D Shipley, F Romano, M Lowe, M Clarke, S Lorentini, A Mazal, J Pettingell, H Palmans and R Thomas

A portable primary-standard level graphite calorimeter for absolute dosimetry in clinical pencil beam scanning proton beams

Physics in Medicine and Biology, Vol 68, Number 17, August 2023

By Gabriel R Barrenechea, Emmanuil H Georgoulis, Tristan Pryer, Andreas Veeser

A nodally bound-preserving finite element method

IMA Journal of Numerical Analysis, drad055, August 2023

By Oliver Tough

Selection principle for the Fleming-Viot process with drift −1

Preprint, June 2023

By Simon C Harris, Emma Horton, Andreas E Kyprianou, Minmin Wang

Yaglom limit for critical nonlocal branching markov processes

The Annals of Probability, 50(6): 2373-2408, November 2022

By Simon C. Harris, Emma Horton, Ellen Powell, Andreas E. Kyprianou

Many-to-few for non-local branching Markov process

Preprint, November 2022

By Alexander M. G. Cox, Emma Horton, Denis Villemonais

Binary branching processes with Moran type interactions

Preprint, July 2022

By Isaac Gonzalez, Emma Horton & Andreas E. Kyprianou

Asymptotic moments of spatial branching processes

Probability Theory and Related Fields, Volume 184, pages 805–858, April 2022

By Alexander M.G. Cox, Simon C. Harris, Andreas E. Kyprianou, Minmin Wang

Monte-Carlo Methods for the Neutron Transport Equation

Preprint, October 2021