Construction of new pre-conditioners for the solution of linear algebraic systems - Einzelansicht

Almost all discretization methods for boundary value problems lead at the end to the solution of huge linear algebraic systems. One of the main problems in practise (also in commercial software solutions) is that the condition number of the matrix of the system is growing rapidly and the numerical solution of the system goes wrong or is not accurate enough. A common strategy to overcome this problem is to multiply the system by a certain matrix, the so-called preconditioner, such that the product shows a better behaviour of the condition number than the original matrix. The main goal of the project is to implement some new strategies in MATLAB. The properties of the new preconditioners must be studied, based on a series of numerical situations. Comparisons with existing methods will be performed.

Time and place will be announced on teh project fair/ Zeit und Ort werden zur Projektbörse bekannt gegegben.