We consider a Dirichlet problem for the Poisson equation in periodically perforated domain. The geometry of domain is controlled by two parameters: real number ϵ > 0, proportional to radius holes, and map ϕ, which models shape holes. So, if g denotes boundary datum f datum, we have solution each quadruple ( , ϕ ). Our aim study how depends on ), especially when very small holes narrow points...

This thesis is about the design, analysis, implementation, and experimental evaluation of algorithms for hard graph problems. The aim is to establish that the concept of fixed-parameter tractability, and in particular novel algorithmic techniques whose development was driven by this concept, can lead to practically useful programs for exactly solving real-world problem instances. In particular,...

Consider the problem of discriminating between two polynomial regression models on the q-cube [−1, 1] , q ≥ 2, and estimating parameters in the models. To find designs which are efficient for both model discrimination and parameter estimation, Zen and Tsai (2002) proposed a multiple-objective optimality criterion for the univariate case. In this work, taking the same Mγ-criterion which uses wei...

‎Consider an estimation problem in a one-parameter non-regular distribution when both endpoints of the support depend on a single parameter‎. ‎In this paper‎, ‎we give sufficient conditions for a generalized Bayes estimator of a parametric function to be admissible‎. ‎Some examples are given‎. ‎