113 citations · 395 across the 42 of their papers we have counts for
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Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems
Yvon Maday, Carlo Marcati
We study a class of nonlinear eigenvalue problems of Schrödinger type, where the potential is singular on a set of points. Such problems are widely present in physics and chemistry…
Overcoming slowly decaying Kolmogorov n-width by transport maps: application to model order reduction of fluid dynamics and fluid--structure interaction problems
Monica Nonino, Francesco Ballarin, Gianluigi Rozza +1
In this work we focus on reduced order modelling for problems for which the resulting reduced basis spaces show a slow decay of the Kolmogorov -width, or, in practical calculati…
L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations
Yanlai Chen, Sigal Gottlieb, Lijie Ji +2
The onerous task of repeatedly resolving certain parametrized partial differential equations (pPDEs) in, e.g. the optimization context, makes it imperative to design vastly more ef…
PBDW method for state estimation: error analysis for noisy data and nonlinear formulation
Helin Gong, Yvon Maday, Olga Mula +1
We present an error analysis and further numerical investigations of the Parameterized-Background Data-Weak (PBDW) formulation to variational Data Assimilation (state estimation),…