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Arithmetic and metric aspects of open de Rham spaces

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Publications associées (5)

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Morse theoretic signal compression and reconstruction on chain complexes

Kelly Spry Maggs, Celia Camille Hacker, Stefania Ebli

At the intersection of Topological Data Analysis (TDA) and machine learning, the field of cellular signal processing has advanced rapidly in recent years. In this context, each signal on the cells of a complex is processed using the combinatorial Laplacian ...

2024

Petviashvili Method for the Fractional Schrodinger Equation

Sofi Farazande

In this paper, we extend the Petviashvili method (PM) to the fractional nonlinear Schrodinger equation (fNLSE) for the construction and analysis of its soliton solutions. We also investigate the temporal dynamics and stabilities of the soliton solutions of ...

2023

Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling

Tommaso Vanzan

This paper derives optimized coefficients for optimized Schwarz iterations for the time-dependent Stokes-Darcy problem using an innovative strategy to solve a nonstandard min-max problem. The coefficients take into account both physical and discretization ...

OXFORD UNIV PRESS2023

Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification

Fabio Nobile, Yoshihito Kazashi

This paper deals with the kernel-based approximation of a multivariate periodic function by interpolation at the points of an integration lattice-a setting that, as pointed out by Zeng et al. (Monte Carlo and Quasi-Monte Carlo Methods 2004, Springer, New Y ...

Springer2022

Null-controllability of linear hyperbolic systems in one dimensional space

Hoài-Minh Nguyên

This paper is devoted to the controllability of a general linear hyperbolic system in one space dimension using boundary controls on one side. Under precise and generic assumptions on the boundary conditions on the other side, we previously established the ...

2021