Overview
Background
I am a mathematician working in optimisation, with a focus on splitting methods for infinite dimensional optimisation problems. I recieved my PhD in 2025 from the University of South Australia (UniSA) under the supervision of Regina Burachik (UniSA), Yalçın Kaya (UniSA) and Walaa Moursi (U. Waterloo) for my thesis titled Douglas–Rachford Algorithm for Optimal Control. Following my PhD, I began a research contract at the University of New South Wales (UNSW) under the supervision of Vaithilingam Jeyakumar (UNSW) and Guoyin Li (UNSW) where I studied primal-dual splitting methods for robust optimisation problems. As of June 2026, I have joined the University of Queensland on a research project supervised by Fred Roosta (UQ) and Lindon Roberts (U. Melbourne) investigating next generation Newton-type methods using the minimum residual solver.
Availability
- Dr Bethany Caldwell is:
- Available for supervision
Works
Search Professor Bethany Caldwell’s works on UQ eSpace
2025
Journal Article
DOUGLAS–RACHFORD ALGORITHM FOR OPTIMAL CONTROL PROBLEMS
CALDWELL, BETHANY I. (2025). DOUGLAS–RACHFORD ALGORITHM FOR OPTIMAL CONTROL PROBLEMS. Bulletin of the Australian Mathematical Society, 112 (2), 392-393. doi: 10.1017/s0004972725100208
2024
Journal Article
Optimal Control Duality and the Douglas–Rachford Algorithm
Burachik, Regina S., Caldwell, Bethany I., Kaya, C. Yalçin and Moursi, Walaa M. (2024). Optimal Control Duality and the Douglas–Rachford Algorithm. SIAM Journal on Control and Optimization, 62 (1), 680-698. doi: 10.1137/23m1558549
2024
Journal Article
Douglas–Rachford algorithm for control-constrained minimum-energy control problems
Burachik, Regina S., Caldwell, Bethany I. and Yalçin Kaya, C. (2024). Douglas–Rachford algorithm for control-constrained minimum-energy control problems. ESAIM: Control, Optimisation and Calculus of Variations, 30, 18-30. doi: 10.1051/cocv/2024004
2021
Journal Article
A generalized multivariable Newton method
Burachik, Regina S., Caldwell, Bethany I. and Kaya, C. Yalçın (2021). A generalized multivariable Newton method. Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 (1) 15, 1. doi: 10.1186/s13663-021-00700-9
Supervision
Availability
- Dr Bethany Caldwell is:
- Available for supervision
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