The objective of this research paper is to describe the behaviour boundary derivative conformal maps from polygon domain onto unit disk through construct some an interesting cases, and its inverse maps. Moreover, we study existence finiteness integrability over infinite sector W.

In this work, we develop a numerical fitting routine to extract multiple thermal parameters using frequency-domain thermoreflectance (FDTR) for materials having non-standard, non-semi-infinite geometries. The is predicated on either 2D or 3D finite element analysis that permits the inclusion of boundary conditions, which cannot be considered in analytical solution heat diffusion equation freque...

This article is concerned with the in-domain stabilization of a class block diagonal infinite-dimensional systems in presence an uncertain and time-varying delay distributed control input. Two actuation schemes are considered. The first one assumes input that fully over domain. second finite-dimensional, acting domain via bounded operator. In both cases, design strategy consists predictor feedb...

The finite-difference time-domain (FDTD) method is used to obtain numerical solutions of infinite periodic structures without resorting to the complex frequency-domain analysis, which is required in traditional frequency-domain techniques. The field transformation method is successfully used to model periodic structures with oblique incident waves/scan angles. Maxwell’s equations are transforme...

In contrast to the canonical ensemble where thermodynamic functions are smooth for all finite system sizes, the microcanonical entropy can show nonanalytic points also for finite systems. The relation between finite and infinite system nonanalyticities is illustrated by means of a simple classical spinlike model which is exactly solvable for both finite and infinite system sizes, showing a phas...

We consider entire transcendental functions f with an invariant (or periodic) Baker domain U. First, we classify these domains into three types (hyperbolic, simply parabolic and doubly parabolic) according to the surface they induce when we quotient by the dynamics. Second, we study the space of quasiconformal deformations of an entire map with such a Baker domain by studying its Teichmüller sp...

in this paper we consider the group algebra $r(c_2times‎ ‎d_infty)$‎. ‎it is shown that $r(c_2times d_infty)$ can be‎ ‎represented by a $4times 4$ block circulant matrix‎. ‎it is also‎ ‎shown that $mathcal{u}(mathbb{z}_2(c_2times d_infty))$ is‎ ‎infinitely generated‎.

‎linear semi-infinite programming problem is an important class of optimization problems which deals with infinite constraints‎. ‎in this paper‎, ‎to solve this problem‎, ‎we combine a discretization method and a neural network method‎. ‎by a simple discretization of the infinite constraints,we convert the linear semi-infinite programming problem into linear programming problem‎. ‎then‎, ‎we use...

Full wave electromagnetic simulation requires numerically expensive methods such as FDTD. The computation time depends superlinearly on the number of unknowns in the simulation region. In some situations, especially when the results are not needed at every point of the grid, simulation time can be reduced. This reduction can be accomplished by partitioning the grid into macromodels and determin...

We are considering the problem of state observation for a class of infinite dimensional systems modeled by parabolic type PDEs. The model is subject to parametric uncertainty entering in both the domain equation and the boundary condition. An adaptive boundary observer, providing online estimates of the system state and parameters, is designed using finiteand infinite-dimensional backsteppingli...