Search results for "evolution problems"

showing 2 items of 2 documents

Gradient flows in random walk spaces

2021

El món digital ha comportat l'aparició de molts tipus de dades, de mida i complexitat creixents. De fet, els dispositius moderns ens permeten obtenir fàcilment imatges de major resolució, així com recopilar dades sobre cerques a la xarxa, anàlisis sanitàries, xarxes socials, sistemes d'informació geogràfica, etc. En conseqüència, l'estudi i el tractament d'aquests grans conjunts de dades té un gran interès i valor. En aquest sentit, els grafs ponderats proporcionen un espai de treball natural i flexible on representar les dades. En aquest context, un vèrtex representa una dada concreta i a cada aresta se li assigna un pes segons alguna mesura de semblança adequadament triada entre els vèrte…

:MATEMÁTICAS [UNESCO]markov processescheeger problemrof modelnonlocal nonlinear partial differential equationsgradient flowsrandom walk spacescalculus of variationsevolution problemsUNESCO::MATEMÁTICAS
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Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928-1953)

2013

In this paper we revisit the pioneering work on the numerical analysis of partial differential equations (PDEs) by two Italian mathematicians, Mauro Picone (1885-1977) and Sandro Faedo (1913-2001). We argue that while the development of constructive methods for the solution of PDEs was central to Picone's vision of applied mathematics, his own work in this area had relatively little direct influence on the emerging field of modern numerical analysis. We contrast this with Picone's influence through his students and collaborators, in particular on the work of Faedo which, while not the result of immediate applied concerns, turned out to be of lasting importance for the numerical analysis of …

Partial differential equationNumerical analysisApplied MathematicsConstructiveSettore MAT/08 - Analisi NumericaIstituto per le Applicazioni del CalcoloHistory of numerical analysi Istituto per le Applicazioni del Calcolo Evolution problems Faedo–Galerkin method Spectral methodsHistory of numerical analysiCalculusApplied mathematicsEvolution problemFaedo-Galerkin methodAlgebra over a fieldSpectral methodSturm–Picone comparison theoremSpectral methodNumerical partial differential equationsMathematics
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