Geodesic
High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems
Electronic transactions on numerical analysis, Tome 11 (2000), pp. 55-84.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we are concerned with the spectral analysis of the sequence of preconditioned matrices P - 1 n (a, m, k)$An(a, m, k)$n, where $An(a, m, k)$ is the n $\times n$ symmetric matrix coming from a high-order Finite Difference discretization of the problem $$###$$ dk $$###$ ( a(x) u(x) = f$ (x) on $\Omega $= (0, 1), $$###$$ - )k dk dxk dxk ds $$###$ u(x) = 0$ s = 0, . . . , k $$###$$ - 1.
Classification : 65N22, 65F10, 15A12
Keywords: finite differences, Toeplitz and vandermonde matrices, clustering and preconditioning, ergodic theorems, spectral distribution 
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     author = {Serra Capizzano, Stefano and Tablino Possio, Cristina},
     title = {High-order finite difference schemes and {Toeplitz} based preconditioners for elliptic problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {55--84},
     publisher = {mathdoc},
     volume = {11},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2000__11__a4/}
}
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Serra Capizzano, Stefano; Tablino Possio, Cristina. High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems. Electronic transactions on numerical analysis, Tome 11 (2000), pp. 55-84. http://geodesic.mathdoc.fr/item/ETNA_2000__11__a4/