Nicolas Boullé

Publication Activity (10 Years)

Years Active: 2019-2024
Publications (10 Years): 34

Top Topics

Differential Equations

Top Venues

SIAM J. Sci. Comput.

Found. Comput. Math.

Commun. Nonlinear Sci. Numer. Simul.

Publications

Nicolas Boullé, Matthew J. Colbrook
On the Convergence of Hermitian Dynamic Mode Decomposition. CoRR (2024)
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 (2024)
David Persson, Nicolas Boullé, Daniel Kressner
Randomized Nyström approximation of non-negative self-adjoint operators. CoRR (2024)
Nicolas Boullé, Diana Halikias, Samuel E. Otto, Alex Townsend
Operator learning without the adjoint. CoRR (2024)
Nicolas Boullé, Matthew J. Colbrook
Multiplicative Dynamic Mode Decomposition. CoRR (2024)
Nicolas Boullé, Alex Townsend
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra. Found. Comput. Math. 23 (2) (2023)
Nicolas Boullé, Diana Halikias, Alex Townsend
Elliptic PDE learning is provably data-efficient. CoRR (2023)
Nicolas Boullé, Astrid Herremans, Daan Huybrechs
Multivariate rational approximation of functions with curves of singularities. CoRR (2023)
Nicolas Boullé, Alex Townsend
A Mathematical Guide to Operator Learning. CoRR (2023)
Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
Optimization of Hopf Bifurcation Points. SIAM J. Sci. Comput. 45 (3) (2023)
Nicolas Boullé, Patrick E. Farrell, Alberto Paganini
Control of Bifurcation Structures using Shape Optimization. SIAM J. Sci. Comput. 44 (1) (2022)
Harshwardhan Praveen, Nicolas Boullé, Christopher J. Earls
Principled interpolation of Green's functions learned from data. CoRR (2022)
Fabian Laakmann, Nicolas Boullé
Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard problem. CoRR (2022)
Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
Optimal control of Hopf bifurcations. CoRR (2022)
Nicolas Boullé, Seick Kim, Tianyi Shi, Alex Townsend
Learning Green's functions associated with parabolic partial differential equations. CoRR (2022)
Nicolas Boullé, Alex Townsend
A generalization of the randomized singular value decomposition. ICLR (2022)
Nicolas Boullé, I. Newell, Patrick E. Farrell, Panayotis G. Kevrekidis
Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns. CoRR (2022)
Nicolas Boullé, Seick Kim, Tianyi Shi, Alex Townsend
Learning Green's functions associated with time-dependent partial differential equations. J. Mach. Learn. Res. 23 (2022)
Nicolas Boullé
Data-driven discovery of Green's functions. CoRR (2022)
Ada J. Ellingsrud, Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
Accurate numerical simulation of electrodiffusion and water movement in brain tissue. CoRR (2021)
Nicolas Boullé, Jonasz Slomka, Alex Townsend
An optimal complexity spectral method for Navier-Stokes simulations in the ball. CoRR (2021)
Nicolas Boullé, Vassilios Dallas, Patrick E. Farrell
Bifurcation analysis of two-dimensional Rayleigh-Bénard convection using deflation. CoRR (2021)
Nicolas Boullé, Alex Townsend
Learning elliptic partial differential equations with randomized linear algebra. CoRR (2021)
Nicolas Boullé, Patrick E. Farrell, Alberto Paganini
Control of bifurcation structures using shape optimization. CoRR (2021)
Nicolas Boullé, Christopher J. Earls, Alex Townsend
Data-driven discovery of physical laws with human-understandable deep learning. CoRR (2021)
Nicolas Boullé, Alex Townsend
A generalization of the randomized singular value decomposition. CoRR (2021)
Nicolas Boullé, Yuji Nakatsukasa, Alex Townsend
Rational neural networks. NeurIPS (2020)
Nicolas Boullé, Alex Townsend
Computing with Functions in the Ball. SIAM J. Sci. Comput. 42 (4) (2020)
E. 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 (2020)
Nicolas Boullé, Yuji Nakatsukasa, Alex Townsend
Rational neural networks. CoRR (2020)
Nicolas Boullé, E. G. Charalampidis, Patrick E. Farrell, Panayotis G. Kevrekidis
Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation. CoRR (2020)
Nicolas Boullé, Vassilios Dallas, Yuji Nakatsukasa, D. Samaddar
Classification of chaotic time series with deep learning. CoRR (2019)
Nicolas Boullé, Alex Townsend
Computing with functions in the ball. CoRR (2019)
E. 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 (2019)