Journal ArticleDOI
Spectral Approximation of Linear Operators (Françoise Chatelin)
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This article is published in Siam Review.The article was published on 1985-09-01. It has received 6 citations till now. The article focuses on the topics: Spectral theory of ordinary differential equations & Spectral theorem.read more
Citations
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Journal ArticleDOI
Computer-assisted bounds for the rate of decay of correlations
TL;DR: A new rigorous method to estimate a bound for the rate of mixing of correlations quantitatively describes the rate at which a chaotic system “mixes” the state space is presented.
Journal ArticleDOI
The numerical computation of heteroclinic connections in systems of gradient partial differential equations
TL;DR: Results are proved about the Fourier spanning basis for branches of equilibria and also for certain heteroclinic connections; these results exploit the oddness of the nonlinearity.
Journal ArticleDOI
H ∞ model matching problem for singularly perturbed systems
TL;DR: The sub-optimal two-frequency-scale solution constructed in this paper uses the solutions of two well-defined lower-order problems, and therefore it is numerically better conditioned and computationally less demanding than the traditional optimal methods.
Book ChapterDOI
The Basic Infinite-Dimensional or Functional Optimization Problem
TL;DR: The Extended Ritz Method (ERIM) as mentioned in this paper is an approximation method that uses families of nonlinear approximators, including shallow and deep neural networks as special cases, to reduce infinite-dimensional problems to finite-dimensional nonlinear programming ones.
Journal ArticleDOI
Opérateurs positifs et probabilités stationnaires
R. Bellamine,J. Pellaumail +1 more
TL;DR: In this paper, a cadre general adapte a l'etude d'une file a capacite limitee, munie d'un buffer, ou d'one file PH/M/r.