3 papers
math.NA2026
Smooth periodic extensions by extrapolation and blending for FFT-based differentiation
Ivan Méndez-Cruz, Faisal Amlani
Non-periodic functions on closed intervals are extended into sufficiently smooth periodic functions through a continuous Hermite interpolation framework with necessary and sufficie…
math.CA2026
Blend-to-zero operators for smooth transition functions
Ivan Méndez-Cruz, Faisal Amlani
Motivated by existing blend-to-zero techniques, a formal framework is developed for defining and constructing blend-to-zero operators on closed intervals for the generation of suff…
cs.LG2024
A hybrid numerical methodology coupling Reduced Order Modeling and Graph Neural Networks for non-parametric geometries: applications to structural dynamics problems
Victor Matray, Faisal Amlani, Frédéric Feyel +1
This work introduces a new approach for accelerating the numerical analysis of time-domain partial differential equations (PDEs) governing complex physical systems. The methodology…