G
Geneviève Dusson
Researcher at Centre national de la recherche scientifique
Publications - 38
Citations - 393
Geneviève Dusson is an academic researcher from Centre national de la recherche scientifique. The author has contributed to research in topics: Eigenvalues and eigenvectors & Discretization. The author has an hindex of 9, co-authored 32 publications receiving 220 citations. Previous affiliations of Geneviève Dusson include University of Paris & University of Warwick.
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Atomic Cluster Expansion: Completeness, Efficiency and Stability
Markus Bachmayr,Gábor Csányi,Ralf Drautz,Geneviève Dusson,Simon Etter,Cas van der Oord,Christoph Ortner +6 more
TL;DR: A fast recursive algorithm is provided for efficient evaluation of the derivation of polynomial basis functions for approximating isometry and permutation invariant functions, particularly with an eye to modelling properties of atomistic systems.
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Regularised atomic body-ordered permutation-invariant polynomials for the construction of interatomic potentials
TL;DR: In this article, the authors investigated the use of invariant polynomials in the construction of data-driven interatomic potentials for material systems and showed that the low dimensionality combined with careful regularization actually leads to better transferability than the high dimensional, kernel based Gaussian approximation potential.
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Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations
TL;DR: Upper and lower bounds for an arbitrary simple eigenvalue are given and guaranteed, fully computable, optimally convergent, and polynomial-degree robust bounds on the energy error in the approximation of the associated eigenvector are derived.
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Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework
TL;DR: This paper develops a general framework for a posteriori error estimates in numerical approximations of the Laplace eigenvalue problem, applicable to all standard numerical methods, and extends it in an appendix to the generic class of bounded-below self-adjoint operators with compact resolvent.
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A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrodinger equations
Eric Cancès,Geneviève Dusson,Yvon Maday,Yvon Maday,Yvon Maday,Benjamin Stamm,Martin Vohralík +6 more
TL;DR: In this paper, a perturbation-based method is proposed to post-process the planewave approximation of the eigenmodes of periodic Schrodinger operators, and then use this post-processing to construct an accurate a posteriori estimator for the approximations of the (nonlinear) Gross-Pitaevskii equation, valid at each step of a selfconsistent procedure.