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ORCIDNicolas Boullé
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Journal Articles
- 2023
[j6]Nicolas Boullé
, Alex Townsend:
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra. Found. Comput. Math. 23(2): 709-739 (2023)- [j5]Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes:
Optimization of Hopf Bifurcation Points. SIAM J. Sci. Comput. 45(3): 390-411 (2023) - 2022
- [j4]Nicolas Boullé, Seick Kim, Tianyi Shi, Alex Townsend:
Learning Green's functions associated with time-dependent partial differential equations. J. Mach. Learn. Res. 23: 218:1-218:34 (2022) - [j3]Nicolas Boullé, Patrick E. Farrell, Alberto Paganini:
Control of Bifurcation Structures using Shape Optimization. SIAM J. Sci. Comput. 44(1): 57- (2022) - 2020
- [j2]Efstathios G. Charalampidis, Nicolas Boullé, Patrick E. Farrell, Panayotis G. Kevrekidis:
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. Commun. Nonlinear Sci. Numer. Simul. 87: 105255 (2020) - [j1]Nicolas Boullé, Alex Townsend:
Computing with Functions in the Ball. SIAM J. Sci. Comput. 42(4): C169-C191 (2020)
Conference and Workshop Papers
- 2022
- [c2]Nicolas Boullé, Alex Townsend:
A generalization of the randomized singular value decomposition. ICLR 2022 - 2020
- [c1]Nicolas Boullé, Yuji Nakatsukasa, Alex Townsend:
Rational neural networks. NeurIPS 2020
Informal and Other Publications
- 2024
- [i26]Nicolas Boullé, Matthew J. Colbrook:
On the Convergence of Hermitian Dynamic Mode Decomposition. CoRR abs/2401.03192 (2024) - [i25]Nicolas Boullé, Diana Halikias, Samuel E. Otto, Alex Townsend:
Operator learning without the adjoint. CoRR abs/2401.17739 (2024) - [i24]Toni J. B. Liu, Nicolas Boullé, Raphaël Sarfati, Christopher J. Earls:
LLMs learn governing principles of dynamical systems, revealing an in-context neural scaling law. CoRR abs/2402.00795 (2024) - [i23]David Persson, Nicolas Boullé, Daniel Kressner:
Randomized Nyström approximation of non-negative self-adjoint operators. CoRR abs/2404.00960 (2024) - [i22]Nicolas Boullé, Matthew J. Colbrook:
Multiplicative Dynamic Mode Decomposition. CoRR abs/2405.05334 (2024) - 2023
- [i21]Nicolas Boullé, Diana Halikias, Alex Townsend:
Elliptic PDE learning is provably data-efficient. CoRR abs/2302.12888 (2023) - [i20]Nicolas Boullé, Astrid Herremans, Daan Huybrechs:
Multivariate rational approximation of functions with curves of singularities. CoRR abs/2312.13202 (2023) - [i19]Nicolas Boullé, Alex Townsend:
A Mathematical Guide to Operator Learning. CoRR abs/2312.14688 (2023) - 2022
- [i18]Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes:
Optimal control of Hopf bifurcations. CoRR abs/2201.11684 (2022) - [i17]Nicolas Boullé, Seick Kim, Tianyi Shi, Alex Townsend:
Learning Green's functions associated with parabolic partial differential equations. CoRR abs/2204.12789 (2022) - [i16]Nicolas Boullé, I. Newell, Patrick E. Farrell, Panayotis G. Kevrekidis:
Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns. CoRR abs/2208.05703 (2022) - [i15]Nicolas Boullé:
Data-driven discovery of Green's functions. CoRR abs/2210.16016 (2022) - [i14]Harshwardhan Praveen, Nicolas Boullé, Christopher J. Earls:
Principled interpolation of Green's functions learned from data. CoRR abs/2211.06299 (2022) - [i13]Fabian Laakmann, Nicolas Boullé:
Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard problem. CoRR abs/2211.12163 (2022) - 2021
- [i12]Nicolas Boullé, Alex Townsend:
Learning elliptic partial differential equations with randomized linear algebra. CoRR abs/2102.00491 (2021) - [i11]Ada J. Ellingsrud, Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes:
Accurate numerical simulation of electrodiffusion and water movement in brain tissue. CoRR abs/2102.02539 (2021) - [i10]Nicolas Boullé, Vassilios Dallas, Patrick E. Farrell:
Bifurcation analysis of two-dimensional Rayleigh-Bénard convection using deflation. CoRR abs/2102.10576 (2021) - [i9]Nicolas Boullé, Jonasz Slomka, Alex Townsend:
An optimal complexity spectral method for Navier-Stokes simulations in the ball. CoRR abs/2103.16638 (2021) - [i8]Nicolas Boullé, Christopher J. Earls, Alex Townsend:
Data-driven discovery of physical laws with human-understandable deep learning. CoRR abs/2105.00266 (2021) - [i7]Nicolas Boullé, Alex Townsend:
A generalization of the randomized singular value decomposition. CoRR abs/2105.13052 (2021) - [i6]Nicolas Boullé, Patrick E. Farrell, Alberto Paganini:
Control of bifurcation structures using shape optimization. CoRR abs/2105.14884 (2021) - 2020
- [i5]Nicolas Boullé, Yuji Nakatsukasa, Alex Townsend:
Rational neural networks. CoRR abs/2004.01902 (2020) - [i4]Nicolas Boullé, Efstathios G. Charalampidis, Patrick E. Farrell, Panayotis G. Kevrekidis:
Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation. CoRR abs/2004.10446 (2020) - 2019
- [i3]Nicolas Boullé, Vassilios Dallas, Yuji Nakatsukasa, D. Samaddar:
Classification of chaotic time series with deep learning. CoRR abs/1908.06848 (2019) - [i2]Nicolas Boullé, Alex Townsend:
Computing with functions in the ball. CoRR abs/1911.00114 (2019) - [i1]Efstathios G. Charalampidis, Nicolas Boullé, Patrick E. Farrell, P. G. Kevrekidis:
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. CoRR abs/1912.00023 (2019)
Coauthor Index
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