Some properties of the matrix of the linear system
Finite-difference method for stationary PDEs
Article REF: AF500 V1
Some properties of the matrix of the linear system
Finite-difference method for stationary PDEs

Author : Pierre SPITERI

Publication date: October 10, 2002 | Lire en français

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4. Some properties of the matrix of the linear system

In this paragraph, where there is no confusion, the finite difference discretization matrices obtained in the previous two paragraphs will be referred to as A; where necessary, these matrices will be specified as A 1D , A 2D and A 3D respectively, depending on whether the domain Ω is the unit segment, the unit square or the unit cube.

4.1 System reversibility

The aim of the present sub-section is essentially to provide a partial answer to the first question; in fact, in this sub-section, we'll be looking at the invertibility of the matrix A, and we'll be endeavouring to identify criteria...

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