In this study, a new method is introduced to reduce the splitting error in the ADI-FDTD method using iterative method. The proposed method includes two procedures. First we solve the procedure of ADI-FDTD method and secondly a new iterative scheme is adopted. The improvement of reduced splitting error is investigated by numerical examples. © 2008 Wiley Periodicals, Inc. Microwave Opt Technol Le...

in this paper we consider the solutions of linear systems of saddle point problems‎. ‎by using the spectrum of a quadratic matrix polynomial‎, ‎we study the eigenvalues of the iterative matrix of the hermitian and skew hermitian splitting method‎.

In this article we consider iterative operator-splitting methods for nonlinear differential equations. The main feature of the proposed idea is the embedding of Newton’s method for solving the split parts of the nonlinear equation at each step. The convergence properties of such a mixed method are studied and demonstrated. We confirm with numerical applications the effectiveness of the proposed...

this paper proposes a triangulation method for a digitized surface whose points are located on a regular lattice. the method relies on an iterative and adaptive splitting of triangular faces of an initial polyhedral surface. assuming a bijection between the digitized surface and its approximation, a partition of the data base is performed. the method allows the measurement of the local quality ...

Iterative splitting methods have a huge amount to compute matrix exponential. Here, the acceleration and recovering of higher-order schemes can be achieved. From a theoretical point of view, iterative splitting methods are at least alternating Picards fix-point iteration schemes. For practical applications, it is important to compute very fast matrix exponentials. In this paper, we concentrate ...

This paper proposes a triangulation method for a digitized surface whose points are located on a regular lattice. The method relies on an iterative and adaptive splitting of triangular faces of an initial polyhedral surface. Assuming a bijection between the digitized surface and its approximation, a partition of the data base is performed. The method allows the measurement of the local quality ...

A class of splitting iterative methods are considered for solving fuzzy system of linear equations, which covers Jacobi, Gauss Seidel, SOR, SSOR and their block variance proposed. Theoretical analysis showed that for a regular splitting, the corresponding iterative method converge to the unique fuzzy solution for any initial vector and fuzzy right hand side vector. Finally, we illustrate our ap...