7 citations · 10 across the 7 of their papers we have counts for
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Nonlinear compressive reduced basis approximation : when Taylor meets Kolmogorov
Joubine Aghili, Hassan Ballout, Yvon Maday +1
This paper investigates model reduction methods for efficiently approximating the solution of parameter-dependent PDEs with a multi-parameter vector . In ca…
On the relation between Galerkin approximations and canonical best-approximations of solutions to some non-linear Schrödinger equations
Muhammad Hassan, Yvon Maday, Yipeng Wang
In this paper, we establish a superconvergence property of Galerkin approximations to some non-linear Schrödinger equations of Gross-Pitaevskii type. More precisely, denoting by $u…
Nonlinear compressive reduced basis approximation for multi-parameter elliptic problem
Christophe Prud'Homme, Yvon Maday, Hassan Ballout
Reduced basis methods for approximating the solutions of parameter-dependant partial differential equations (PDEs) are based on learning the structure of the set of solutions - see…
Analysis of the Single Reference Coupled Cluster Method for Electronic Structure Calculations: The Discrete Coupled Cluster Equations
Muhammad Hassan, Yvon Maday
Coupled cluster methods are widely regarded as the gold standard of computational quantum chemistry as they are perceived to offer the best compromise between computational cost an…