The talk will be devoted to the problem of constructing preconditioners for solving sequences of systems of linear algebraic equations. Such sequences arise in many applications like computational fluid dynamics and structural mechanics, numerical optimization as well as in solving non-PDE problems. For example, solving discretized nonlinear equations F (x) = 0 by the Newton or a Broyden-type m...

this study aimed at investigating the effect of intellectual capital and organizational performance on service quality. research method was descriptive and correlation, structural equation modeling. the population consisted of all 219 male and female staff of sport and youth general offices in west azerbaijan province. 180 subjects were selected as the sample by purposive non-random sampling me...

After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties. We also propose a robust and accurate finite volume scheme to solve these equations in one horizontal dimension. The numerical discretization is validated by comparisons with analytical, experimental data or other numerical solutions obtained...

In this contribution, a new and efficient multivariate interpolation scheme is presented which is designed for large-scale coupling problems in the field of numerical aeroelasticity. The scheme is based upon a local application of radial basis functions (RBFs). The new method is tested in several numerical aeroelastic computations, and compared to a competing, widely used global approach. The i...

degenerate kernel approximation method is generalized to solve hammerstein system of fredholm integral equations of the second kind. this method approximates the system of integral equations by constructing degenerate kernel approximations and then the problem is reduced to the solution of a system of algebraic equations. convergence analysis is investigated and on some test problems, the propo...

in this paper, we will compare a homotopy perturbation algorithm and taylor series expansin method for a system of second kind fredholm integral equations. an application of he’s homotopy perturbation method is applied to solve the system of fredholm integral equations. taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.

A new field of numerical astrophysics is introduced which addresses the solution of large, multidimensional structural or slowly-evolving problems (rotating stars, interacting binaries, thick advective accretion disks, four dimensional spacetimes, etc.), as well as rapidly-evolving systems. The technique employed is the Finite Element Method (FEM), which has been used to solve engineering struc...

recently, in order to increase the efficiency of least squares method in numerical solution of ill-posed problems, the chain least squares method is presented in a recurrent process by babolian et al. despite the fact that the given method has many advantages in terms of accuracy and stability, it does not have any stopping criterion and has high computational cost. in this article, the attempt...

In categorial systems with a fixed structural component, the learning problem comes down to finding the solution for a set of typeassignment equations. A hard-wired structural component is problematic if one want to address issues of structural variation. Our starting point is a type-logical architecture with separate modules for the logical and the structural components of the computational sy...

in this paper, differential transform method (dtm) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in hiv infections of cell. intervals of validity of the solution will be extended by using pade approximation. the results also will be compared with those results obtained by runge-kutta method. the technique is described and is illustrat...