We design and analyze an adaptive hp-finite element method (hp-AFEM) in dimensions n = 1, 2. The algorithm consists of iterating two routines: hp-NEARBEST finds a near-best hp-approximation of the current discrete solution and data to a desired accuracy, and REDUCE improves the discrete solution to a finer but comparable accuracy. The former hinges on a recent algorithm by Binev for adaptive hp...

This paper describes the problems and an adaptive solution for process control in rubber industry. We show that the human and economical benefits of an adaptive solution for the approximation of process parameters are very attractive. The modeling of the industrial problem is done by the means of artificial neural networks. For the example of the extrusion of a rubber profile in tire production...

An interesting distributed adaptive CSMA MAC protocol, called adaptive CSMA, was proposed recently to schedule any strictly feasible achievable rates inside the capacity region. Of particular interest is the fact that the adaptive CSMA can achieve a system utility arbitrarily close to that is achievable under a central scheduler. However, a specially designed transport-layer rate controller is ...

We consider adaptive meshless discretisation of the Dirichlet problem for Poisson equation based on numerical differentiation stencils obtained with the help of radial basis functions. New meshless stencil selection and adaptive refinement algorithms are proposed in 2D. Numerical experiments show that the accuracy of the solution is comparable with, and often better than that achieved by the me...

A self-adaptive mesh method is proposed for the numerical simulations of the Camassa-Holm equation based on its integrable semi-discretization. It is an integrable scheme, possessing the N-soliton solution (see J. Phys. A, 41 355205). Moreover, it is called a self-adaptive mesh method, because the non-uniform mesh is driven and adapted automatically by the solution. Once the non-uniform mesh is...

The aim of this paper is to propose a solution for an adaptive E-learning system that is capable of creating learning content adaptable to the individual needs of each learner. The objective of this paper is to propose a feasible solution for integrating E-learning into an enterprise workflow system in order to be able to support an adaptive goal oriented course. The proposed system will be abl...

A QR-decomposition based algorithm is presented for unbiased, equation error adaptive IIR filtering. The algorithm is based on casting the adaptive IIR filtering in a mixed Least Squares Total Least Squares (LS-TLS) framework. This formulation is shown to be equivalent to the minimization of the mean-square equation error subject to a unit norm constraint on the denominator parameter vector. An...

An adaptive numerical method for solution of the time-dependent Schrödinger equation is presented. By using an interpolating wavelet transform the number of used points can be reduced, constructing an adaptive sparse point representation. Two di erent discretisation approaches are studied in 1D ; one point-based and one based on equidistant blocks. Due to the nature of the wavelet transform a s...