in this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. this approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. the method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

How small can a stationary iterative method for solving a linear system Ax = b make the error and the residual in the presence of rounding errors? We give a componentwise error analysis that provides an answer to this question and we examine the implications for numerical stability. The Jacobi, Gauss-Seidel and successive overrelaxation methods are all found to be forward stable in a componentw...

This is a new version of our previous work. In this version, we fill gap included in the original proof Theorem 1.1 paper entitled "An iterative method for Kirchhoff type equations and its applications".

In this paper, we introduce the extragradient method for finding a common element of the set of solutions of generalized mixed equilibrium problem, the set of common fixed point of family of nonexpansive mappings the set of variational inequality for monotone, Lipschitz continuous mapping in a Hilbert space. Then we prove the strong convergence of iterative algorithm to a common element of this...

We give an iterative substructuring algorithm for the P1 nonconforming nite element approximation of a second order elliptic problem in dimension two. The algorithm and its convergence analysis are based on an abstract framework of the Schwarz method. A bound is established for the condition number of this iterative method which grows only logarithmically with the number of degrees of freedom. ...

In this paper we describe the process of redesigning a mobile outdoor mixed reality game. We introduce the design and concept of the first prototype and present the guidelines resulting from the first evaluation phase. The final section describes the redesign of the game based on these guidelines and patterns for game design.

Monte Carlo (MC) linear solvers can be considered stochastic realizations of deterministic stationary iterative processes. That s, they estimate the result of a stationary iterative technique for solving linear systems. There are typically two sources of errors: i) those from the underlying deterministic iterative process and (ii) those from the MC process that performs the estimation. Much rog...

PURPOSE Rapid reconstruction of undersampled multicoil MRI data with iterative constrained reconstruction method is a challenge. The authors sought to develop a new substitution based variable splitting algorithm for faster reconstruction of multicoil cardiac perfusion MRI data. METHODS The new method, split Bregman multicoil accelerated reconstruction technique (SMART), uses a combination of...