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20192025
most citedLegendre Expansions of Products of Functions with Applications to Nonlinear Partial Differential Equations

3 citations · 4 across the 3 of their papers we have counts for

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math.NA2025

MOR-T L : A Novel Model Order Reduction Method for Parametrized Problems with Application to Seismic Wave Propagation

Julien Besset, Hélène Barucq, Rabia Djellouli +1

This paper presents an efficient strategy for constructing Reduced-Order Model (ROM) bases using Taylor polynomial expansions and Fr{é}chet derivatives with respect to model parame…

math.NA2021★ 3 cited

Legendre Expansions of Products of Functions with Applications to Nonlinear Partial Differential Equations

Rabia Djellouli, David Klein, Matthew Levy

Given the Fourier-Legendre expansions of and , and mild conditions on and , we derive the Fourier-Legendre expansion of their product in terms of their corresponding…