Concept
Perturbation theory
Related publications (290)
Non-normal forms
Yves-Marie François Ducimetière
In this thesis, we propose to formally derive amplitude equations governing the weakly nonlinear evolution of non-normal dynamical systems, when they respond to harmonic or stochastic forcing, or to an initial condition. This approach reconciles the non-mo ...
EPFL2024Absolute energy levels of liquid water from many-body perturbation theory with effective vertex corrections
Alfredo Pasquarello, Aleksei Tal, Thomas Bischoff
We demonstrate the importance of addressing the F vertex and thus going beyond the GW approximation for achieving the energy levels of liquid water in manybody perturbation theory. In particular, we consider an effective vertex function in both the polariz ...
Natl Acad Sciences2024A weakly nonlinear amplitude equation approach to the bypass transition in the two-dimensional Lamb–Oseen vortex
François Gallaire, Yves-Marie François Ducimetière
We analytically derive an amplitude equation for the weakly nonlinear evolution of the linearly most amplified response of a non-normal dynamical system. The development generalizes the method proposed in Ducimetière et al. (J. Fluid Mech., vol. 947, 2022, ...
2023Center-aware Adversarial Augmentation for Single Domain Generalization
Domain generalization (DG) aims to learn a model from multiple training (i.e., source) domains that can generalize well to the unseen test (i.e., target) data coming from a different distribution. Single domain generalization (SingleDG) has recently emerge ...
IEEE COMPUTER SOC2023Watertable fluctuations in coastal unconfined aquifers with a sloping sea boundary: Vertical flow and dynamic effective porosity effects
David Andrew Barry, Zhaoyang Luo
Interactions between the tide and sloping sea boundary make watertable fluctuations in coastal unconfined aquifers complicated. Based on a perturbation method, we derived a new analytical solution to predict watertable fluctuations for coastal unconfined a ...
2023