Geodesic
Some fast finite-difference solvers for Dirichlet problems on general domains
Applications of Mathematics, Tome 27 (1982) no. 4, pp. 237-242.

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The author proves the existence of the multi-parameter asymptotic error expansion to the five-point difference scheme for Dirichlet problems for the linear and semilinear elliptic PDE on general domains. By Richardson extrapolation, this expansion leads to a simple process for accelerating the convergence of the method.
DOI : 10.21136/AM.1982.103968
Classification : 35J25, 65B05, 65N10, 65N12, 65N15
Keywords: multi-parameter asymptotic error expansion; Richardson extrapolations; Dirichlet problem; deferred corrections; improving the accuracy 
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     author = {Dinh, Ta Van},
     title = {Some fast finite-difference solvers for {Dirichlet} problems on general domains},
     journal = {Applications of Mathematics},
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Dinh, Ta Van. Some fast finite-difference solvers for Dirichlet problems on general domains. Applications of Mathematics, Tome 27 (1982) no. 4, pp. 237-242. doi : 10.21136/AM.1982.103968. http://geodesic.mathdoc.fr/articles/10.21136/AM.1982.103968/

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