Publications listed in chronological order.

Colbrook, M.J., Li, Q., Raut, R.V. and Townsend, A., (2024) “Beyond expectations: residual dynamic mode decomposition and variance for stochastic dynamical systems,” Nonlinear Dynamics, 112(3), pp.2037-2061.

Persson, D., Boullé, N., Kressner, D. (2024) “Randomized Nyström approximation of non-negative self-adjoint operators,” arXiv:2404.00960

Liu, T.J.B., Boullé, N., Sarfati, R., Earls, C.J. (2024) “LLMs learn governing principles of dynamical systems, revealing an in-context neural scaling law,” arXiv:2402.00795

Boullé, N., Halikias, D., Otto, S.E., Townsend, A. (2024) “Operator learning without the adjoint,” arXiv:2401.17739

Boullé, N., Colbrook, M.J. (2024) “On the Convergence of Hermitian Dynamic Mode Decomposition,” arXiv:2401.03192

Wu, J., Levine, M.E., Schneider, T., Stuart, A. (2023) “Learning About Structural Errors in Models of Complex Dynamical Systems,” arXiv:2401.00035

Wang, C., Townsend, A. (2023) “Operator learning for hyperbolic partial differential equations,” arXiv:2312.17489

Boullé, N., Herremans, A., Huybrechs, D. (2023) “Multivariate rational approximation of functions with curves of singularities,” arXiv:2312.13202

Boullé, N., Townsend, A. (2023) “A Mathematical Guide to Operator Learning,” arXiv:2312.14688

Armstrong, R., Buzali, A., and Damle, A. (2023) “Structure-Aware Analyses and Algorithms for Interpolative Decompositions,” https://arxiv.org/abs/2310.0945