Recently, a new class of semi-Lagrangian methods for the BGK model of the Boltzmann equation has been introduced [8, 17, 18]. These methods work in a satisfactory way either in rarefied or fluid regime. Moreover, because of the semi-Lagrangian feature, the stability property is not restricted by the CFL condition. These aspects make them very attractive for practical applications. In this paper...


 En este trabajo X es un espacio de Banach y B(X) denota los operadores acotados. Si T∈B(X), por lat(T) entenderemos subespacios invariantes T. Se dice que T lleno, si (T(M)) ̅=M, para todo M∈lat(T) (la barra indica la clausura en topología inducida norma). prueba principalmente el siguiente resultado: Sean ∈B(X) acotado abajo. Sea K ∈Alglat(T)∩{T}' operador Riesz. entonces lleno. Aquí Alg...

In this paper, we introduce the concept of linear v{C}ech closure spaces and establish the properties of open sets in linear v{C}ech closure spaces (Lv{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $gamma$-open sets, sgc-dense sets and compact sets in Lv{C}CS. We also discuss the concept of relative v{C}ech closure operator, meet and pro...

We give an Itô formula associated to a non-linear semi-group associated to a m-accretive operator.

In this manuscript, we will study \({\tilde{o}}\)-convergence in (partially) ordered vector spaces and a kind of convergence space V. A V is called semi-order (in short space), if there exist an W operator T from into W. way, say that with respect to \(\{W, T\}\). net \(\{x_\alpha \}\subseteq V\) said be \({\{W,T\}}\)-order convergent \(x\in write \(x_\alpha \xrightarrow {\{W, T\}}x\)), wheneve...

The dynamics of elastic media, constrained by Dirichlet boundary conditions, can be modeled as operator DAE of semi-explicit structure. These models include flexible multibody systems as well as applications with boundary control. In order to use adaptive methods in space, we analyse the properties of the Rothe method concerning stability and convergence for this kind of systems. For this, we c...

We study the duality properties of the well-known DFJP factorization of operators 3] by means of a reenement of it. Given an operator T : X ! Y we consider a decomposition T = jU k , where U : E ! F is an isomorphism, and j , U k are the factors in the DFJP factorization. If T is the conjugate operator of T , and T : X =X ! Y =Y is the operator given by T (x + X) := T x + Y (x 2 X), then we sho...

The stability in L norm is considered for the Ritz Volterra projection and some applications are presented in this paper As a result point wise error estimates are established for the nite ele ment approximation for the parabolic integro di erential equation Sobolev equations and a di usion equation with non local boundary value problem This work is supported in part by NSERC CANADA Journal of ...

Some corrections to the papers \Some Generalizations of TD-Spaces (Mat. Ves-nik 34 (1982), 221{230)" and \A Generalization of Normal Spaces (ibid. 35 (1983), 1{10)" are given. 1. Semi-T D spaces 1] The rst part of the proofs of Theorems 1.6 and 2.4 of 1] are incorrect. The following two Theorems and their proofs provide the statements and proofs of the rst parts of the Theorems 1.6 and 2.4 of 1...