OpenFOAM iterative methods efficiency analysis for linear systems solving

Iterative methods for solving non linear Fokker-Planck equation

‎Finite iterative methods for solving systems of linear matrix equations over reflexive and anti-reflexive matrices

A matrix $Pintextmd{C}^{ntimes n}$ is called a generalized reflection matrix if $P^{H}=P$ and $P^{2}=I$‎. ‎An $ntimes n$‎ ‎complex matrix $A$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $P$ if $A=PAP$ ($A=-PAP$)‎. ‎In this paper‎, ‎we introduce two iterative methods for solving the pair of matrix equations $AXB=C$ and $DXE=F$ over reflexiv...

On the modified iterative methods for $M$-matrix linear systems

This paper deals with scrutinizing the convergence properties of iterative methods to solve linear system of equations. Recently, several types of the preconditioners have been applied for ameliorating the rate of convergence of the Accelerated Overrelaxation (AOR) method. In this paper, we study the applicability of a general class of the preconditioned iterative methods under certain conditio...

Preconditioning of iterative methods for solving sequences of linear systems

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...

iterative methods for solving non linear fokker-planck equation