The search session has expired. Please query the service again.
Displaying 1361 –
1380 of
2234
This paper is concerned with the numerical approximations of Cauchy problems for one-dimensional nonconservative hyperbolic systems. The first goal is to introduce a general concept of well-balancing for numerical schemes solving this kind of systems. Once this concept stated, we investigate the well-balance properties of numerical schemes based on the generalized Roe linearizations introduced by [Toumi, J. Comp. Phys. 102 (1992) 360–373]. Next, this general theory is applied to obtain well-balanced...
This paper is concerned with the numerical approximations of Cauchy problems for
one-dimensional nonconservative hyperbolic systems.
The first goal is to introduce a general concept of well-balancing
for numerical schemes solving this kind of systems. Once this concept stated, we
investigate the well-balance properties of numerical schemes based on the
generalized Roe linearizations introduced by [Toumi, J. Comp. Phys.102 (1992) 360–373]. Next, this general theory
is applied to obtain well-balanced...
An open-loop system of a multidimensional wave equation
with variable coefficients, partial boundary Dirichlet control and
collocated observation is considered. It is shown that the system is
well-posed in the sense of D. Salamon and regular in the sense of G.
Weiss. The Riemannian geometry method is used in the proof of
regularity and the feedthrough operator is explicitly computed.
An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including the maximum principle and the transversality conditions for the regularized and unregularized problems are derived.
Soit un opérateur hyperbolique à caractéristiques de multiplicité constante. On sait que le problème de Cauchy est mal posé si on n’impose pas une condition, dite de Lévi, sur les termes d’ordre inférieur. On démontre que cette condition implique la possibilité de construire une paramétrix du problème de Cauchy au moyen des opérateurs intégraux de Fourier. On en déduit la résolubilité du problème de Cauchy dans les fonctions et dans les espaces de Sobolev.
This article presents the principal results of the doctoral thesis “Direct Operational Methods
in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of
mathematics and Informatics, BAS), successfully defended before the Specialised Academic
Council for Informatics and Mathematical Modelling on 23 March, 2009.The presented research is related to the operational calculus
approach and its representative applications. Operational methods are considered,
as well as their...
Currently displaying 1361 –
1380 of
2234