Geodesic
An algorithm for the solution of a linear system of algebraic equations arising in the mesh method for the Poisson equation
Mathematica Applicanda, Tome 6 (1978) no. 12, pp. 35-41.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

From the introduction: "We present an algorithm for direct (non-iterative) solution of the system of linear algebraic equations by the finite difference method for the equation Δu(x,y)=f(x,y), (x,y)∈Ω={(x,y):0,y,a>0}, u(x,y)=φ(x,y), (x,y)∈∂Ω. O(n2log2n) arithmetical operations are required for arbitrary f,φ, and O(n2) for some special ones, e.g., f≡0, φ arbitrary or φ≡0, f(x,y)≡h(x)g(x), where n is the number of unknowns in the system.''
DOI : 10.14708/ma.v6i12.1318
Classification : 65N20(65F05)
Mots-clés : Ill-posed problems,Direct methods for linear systems and matrix 
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Z. Mejran. An algorithm for the solution of a linear system of algebraic equations arising in the mesh method for the Poisson equation. Mathematica Applicanda, Tome 6 (1978) no. 12, pp.  35-41. doi : 10.14708/ma.v6i12.1318. http://geodesic.mathdoc.fr/articles/10.14708/ma.v6i12.1318/

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