This survey addresses sampling discretization and its connections with other areas of mathematics. The concentrates on norms elements finite-dimensional subspaces. We present here known results both integral the uniform norm beginning classical ending very recent achievements. also show how connects to spectral properties operator submatrices, embedding subspaces, moments marginals high-dimensi...

This work deals with the simulation and discretization of continuous time models with fractional order differentiation or integration. It addresses the issue of direct discretization of analog fractional order systems followed by approximating the discretization result with an integer order transfer function or approximating the analog fractional order system with an integer analog order system...

In this paper, we present a method for color reduction of Persian carpet cartoons that increases both speed and accuracy of editing. Carpet cartoons are in two categories: machine-printed and hand-drawn. Hand-drawn cartoons are divided into two groups: before and after discretization. The purpose of this study is color reduction of hand-drawn cartoons before discretization. The proposed algorit...

In this talk we consider the finite element discretization of the Immersed Boundary Method (IBM) introduced by Peskin [6] for fluid-structure interaction problems. With respect to the original finite differences discretization the finite element approach can take advantage from the variational formulation in handling the Dirac delta function which takes into account the presence of the structur...