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In this article, we show the convergence of a class of numerical schemes for certain
maximal monotone evolution systems; a by-product of this results
is the existence of solutions in cases which had not been previously
treated. The order of these schemes is 1/2 in general and 1
when the only non Lipschitz continuous term is the subdifferential
of the indicatrix of a closed convex set. In the case of Prandtl's
rheological model, our estimates in maximum norm do not depend
on spatial dimension.
...
We consider Sturm-Liouville differential operators on a finite interval with discontinuous potentials having one jump. As the main result we obtain a procedure of recovering the location of the discontinuity and the height of the jump. Using our result, we apply a generalized Rundell-Sacks algorithm of Rafler and Böckmann for a more effective reconstruction of the potential and present some numerical examples.
The topic of this paper is the numerical analysis of time periodic solution for electro-magnetic phenomena. The Limit Absorption Method (LAM) which forms the basis of our study is presented. Theoretical results have been proved in the linear finite dimensional case. This method is applied to scattering problems and transport of charged particles.
The topic of this paper is the numerical analysis of time
periodic solution for electro-magnetic phenomena.
The Limit Absorption Method (LAM)
which forms the basis of our study is presented. Theoretical
results have been proved in the linear finite dimensional case. This
method is applied to scattering problems and transport of charged
particles.
Si studia l'omogeneizzazione periodica di una particolare equazione differenziale ordinaria. Si studiano alcune proprietà dell'equazione omogeneizzata e in certi casi se ne trova la formula esplicita.
Solutions to singular linear ordinary differential equations with analytic coefficients are found in the form of Laplace type integrals.
A certain converse statement of the Filippov-Wažewski theorem is proved. This result extends to the case of time dependent differential inclusions a previous result of Jo’o and Tallos in [5] obtained for autonomous differential inclusions.
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