We extend a meshless method of fundamental solutions recently proposed by the authors for the one-dimensional two-phase inverse linear Stefan problem, to the nonlinear case. In this latter situation the free surface is also considered unknown which is more realistic from the practical point of...

In this paper, we present multi-almost periodicity of a general class of discrete-time neural networks derived from a well-known semi-discretization technique, that is, coexistence and exponential stability of 2N almost periodic sequence solutions of discrete-time neural networks subjected to...

Panel models are popular models in applied sciences and the question of spatial errors has recently created the demand for spatial system estimation of panel models. In this paper we propose new diagnostic methods to explore if and how the spatial components will make significant differences of...

In this paper, we propose a family of feedback controls that guarantee the strong stabilization of unbounded parabolic bilinear systems, where the operator of control is supposed unbounded in the sense that it is bounded from the state space into some extension. An explicit decay estimate is...

Stochastic frontier analysis (SFA) is often used to estimate technical efficiency of entities such as firms, countries or municipalities. A potential dependence between the two components of the error term can be taken into account by a copula function. While estimation of the model is...

Dynamic geometry systems are computer applications allowing the exact on-screen drawing of geometric diagrams and their interactive manipulation by mouse dragging. Whereas there exists an extensive list of 2D dynamic geometry environments, the number of 3D systems is reduced. Most of them, both...

In this paper we present an interpolation method from a surface or a data set by the optimization of a quadratic functional in a bicubic splines functional space. The existence and the uniqueness of the solution of this problem are shown and as well a convergence result of the method is...

The main focus of this article is on analyzing and implementing a dual weighted residual (DWR) approach for an optimal control problem of laser surface hardening of steel. The problem which is governed by a dynamical system consisting of a semi-linear parabolic equation and an ordinary...

The computations of likelihood or posterior distribution of parameters of complex population genetics models are common tasks in computational biology. The numerical results of these approaches are often found by Monte Carlo simulations. Much of the recent work of Monte Carlo approaches to...

The generalized gamma distribution (GGD) is a very popular distribution since it includes many well known distributions. Estimation of the parameters of the GGD is quite problematic because of the complicated structure of its density function. We introduce two new estimation methods called...