56 citations · 160 across the 20 of their papers we have counts for
4 papers · 1 filter
Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard problem
Fabian Laakmann, Nicolas Boullé
We perform a bifurcation analysis of a two-dimensional magnetic Rayleigh--Bénard problem using a numerical technique called deflated continuation. Our aim is to study the influence…
Data-driven discovery of Green's functions
Nicolas Boullé
Discovering hidden partial differential equations (PDEs) and operators from data is an important topic at the frontier between machine learning and numerical analysis. This doctora…
Learning Green's functions associated with time-dependent partial differential equations
Nicolas Boullé, Seick Kim, Tianyi Shi +1
Neural operators are a popular technique in scientific machine learning to learn a mathematical model of the behavior of unknown physical systems from data. Neural operators are es…
Optimization of Hopf bifurcation points
Nicolas Boullé, Patrick E. Farrell, Marie E. Rognes
We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of solving an optimizatio…