Geodesic
Solving of nonlinear equations which arise in collocation method
Mathematica Applicanda, Tome 14 (1986) no. 27, pp. 63-92.

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

The paper concerns a Dirichlet problem for the equation - A.u + F(x,y,u,ux,Uy) = 0'on a rectangle. An iteration process for solving a nonlinear system of algebraic equations which arise in collocation method is considered. A convergence and an error estimate are obtained. Numerical results are presented for equations with F=cu+eu+f(x,y).
DOI : 10.14708/ma.v14i27.1665
Classification : 65N35 (65N20)
Mots-clés : Spectral, collocation and related methods, Ill-posed problems 
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     title = {Solving of nonlinear equations which arise in collocation method},
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Iwona Pilipczuk. Solving of nonlinear equations which arise in collocation method. Mathematica Applicanda, Tome 14 (1986) no. 27, pp.  63-92. doi : 10.14708/ma.v14i27.1665. http://geodesic.mathdoc.fr/articles/10.14708/ma.v14i27.1665/

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