Nicolas Boulle

Status

Postgraduate Student

https://people.maths.ox.ac.uk/boulle/

Research groups

Numerical Analysis

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent publications

Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard
problem

Laakmann, F Boullé, N (22 Nov 2022) http://arxiv.org/abs/2211.12163v1

Principled interpolation of Green's functions learned from data

Praveen, H Boulle, N Earls, C (06 Nov 2022) http://arxiv.org/abs/2211.06299v1

Data-driven discovery of Green's functions

Boullé, N (28 Oct 2022) http://arxiv.org/abs/2210.16016v1

Teaching

Tutor for Approximation of functions, Part C (MT 20)

TA for Practical Numerical Analysis, MMSC (MT 19)

TA for Approximation of functions, Part C (MT 19)

Major / recent publications

N. Boullé, A. Paganini, P. E. Farrell, Control of bifurcation structures using shape optimization, SIAM J. Sci. Comput., 2022. arxiv

N. Boullé, A. Townsend, A generalization of the randomized singular value decomposition, ICLR, 2022. arxiv

N. Boullé, C. J. Earls, A. Townsend, Data-driven discovery of Green's functions with human-understandable deep learning, Scientific Reports, 2022. arxiv

N. Boullé, A. Townsend, Learning elliptic partial differential equations with randomized linear algebra, Found. Comput. Math., 2022. arxiv

N. Boullé, Y. Nakatsukasa, A. Townsend, Rational neural networks, NeurIPS, 2020. arxiv

Research interests

Numerical solution of partial differential equations
Deep learning
Approximation of functions

Prizes, awards, and scholarships

2021 IMA Leslie Fox Prize for Numerical Analysis (2nd prize)

2021 G-Research PhD Prize (2nd place)

2018-2022 Oxford-Radcliffe Scholarship

2015-2018 Scholarship from ENS Rennes