Iterative methodsIn this paper an inverse scattering method for reconstructing the constitutive parameters of two-dimensional scatterers is proposed. The inversion is based on measurements of the scattered magnetic field component, while the scatterer domain is illuminated by transverse electric waves. The...
Talwar, J., Mohanty, R.K.: A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers’ equation. Int. J. Model. Simul. Sci. Comput. 05 (2014). ID: 1350029A new modified group explicit iterative method for the numerical solution of time ...
The numerical solution of the one-dimensional Laplace equation with the Dirichlet boundary conditions is obtained using these methods. For the Laplace equation, a two-frequency function involving high- and low-frequency components is defined. It is observed that, however, the GS method can smooth ...
In our numerical experiments the incomplete factorization is per- formed on the CPU (host) and the resulting lower and upper triangular factors are then transferred to the GPU (device) memory before starting the iterative method. However, the computation of the incomplete factorization could also ...
In these numerical methods, the finite difference method (FDM) is seen more in the literature because it is a simple and explicit method as compared to the other methods, especially the higher-order FDMs which converge fast as compared to the standard second-order FDMs. In this article, the...
Iterative Methods of Solution Disadvantages of Iterative Methods (i) In general, there is no guaranty of convergence. (ii) Even when the method converges, the number of iterations can be large. (iii) The computing time can be large if many iteration are required and the system of equations ...
It is interesting to note that several third-order methods can be obtained as special cases of Laguerre’s method: (I) Taking λ=1, formula (1.22) reduces to Newton’s method xˆ=Lf(x;1)=x-f(x)f′(x),which has quadratic convergence. The case λ=1 in (1.22) can be regarded ...
In this paper, first, we propose an iterative method based on quadrature formula for solving two-dimensional linear fuzzy Fredholm integral equations (2DLFFIE). Then, we prove the error estimation of the method. In addition, we show the numerical stability analysis of the method with respect to...
One of the most important and common applications of numerical linear algebra is the solution of linear systems that can be expressed in the form A*x = b.
We propose an algorithm to find a starting point for iterative methods. Numerical experiments show empirically that the algorithm provides starting points