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Displaying 101 –
109 of
109
A non-linear semi-coercive beam problem is solved in this article. Suitable numerical methods are presented and their uniform convergence properties with respect to the finite element discretization parameter are proved here. The methods are based on the minimization of the total energy functional, where the descent directions of the functional are searched by solving the linear problems with a beam on bilateral elastic ``springs''. The influence of external loads on the convergence properties is...
We introduce a modification of the Monge–Kantorovitch problem of exponent 2 which accommodates non balanced initial and final densities. The augmented lagrangian numerical method introduced in [6] is adapted to this “unbalanced” problem. We illustrate the usability of this method on an idealized error estimation problem in meteorology.
We introduce a modification of the Monge–Kantorovitch
problem of exponent 2 which accommodates non balanced initial
and final densities. The augmented Lagrangian numerical method
introduced in [6] is adapted to this “unbalanced”
problem. We illustrate the usability of this method on an
idealized error estimation problem in meteorology.
Let μ and ν be two probability measures on the real line and
let c be a lower semicontinuous function on the plane. The mass
transfer problem consists in determining a measure ξ whose
marginals coincide with μ and ν, and whose total cost
∫∫ c(x,y)dξ(x,y) is minimum. In this paper we present
three algorithms to solve numerically this Monge-Kantorovitch problem
when the commodity being shipped is one-dimensional and not
necessarily confined to a bounded interval. We illustrate these
numerical...
This paper presents a numerical study of a deterministic discretization procedure for multistage stochastic programs where the underlying stochastic process has a continuous probability distribution. The discretization procedure is based on quasi-Monte Carlo techniques originally developed for numerical multivariate integration. The solutions of the discretized problems are evaluated by statistical bounds obtained from random sample average approximations and out-of-sample simulations. In the numerical...
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