Finite difference preconditioning cubic spline collocation method of elliptic equations

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dc.contributor.authorKim, Hong Ohko
dc.contributor.authorKim, SDko
dc.contributor.authorLee, YNko
dc.date.accessioned2013-03-02T12:54:53Z-
dc.date.available2013-03-02T12:54:53Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued1997-07-
dc.identifier.citationNUMERISCHE MATHEMATIK, v.77, no.1, pp.83 - 103-
dc.identifier.issn0029-599X-
dc.identifier.urihttp://hdl.handle.net/10203/73615-
dc.description.abstractWe discuss a finite difference preconditioner for the C-1 interpolatory cubic spline collocation method for a uniformly elliptic operator A defined by Au := -Delta u + a(0)u in Omega (the unit square) with homogeneous Dirichlet boundary conditions. Using the generalized field of values arguments, we discuss the eigenvalues of the preconditioned matrix (L) over cap(N2)(-1)(A) over cap(N2) where (A) over cap(N2) is the matrix of the collocation discretization operator A(N2) corresponding to A, and (L) over cap(N2) is the matrix of the finite difference operator L-N2 corresponding to the uniformly elliptic operator L given by Lv := -Delta v + v in Omega with homogeneous Dirichlet boundary conditions. Finally we mention a bound of H-1-singular values of (L) over cap(N2)(-1)(A) over cap(N2) for a general elliptic operator Au := -Delta u + a(1)u(x) + a(2)u(y) + a(0)u in Omega.-
dc.languageEnglish-
dc.publisherSPRINGER VERLAG-
dc.titleFinite difference preconditioning cubic spline collocation method of elliptic equations-
dc.typeArticle-
dc.identifier.wosidA1997XM68700004-
dc.type.rimsART-
dc.citation.volume77-
dc.citation.issue1-
dc.citation.beginningpage83-
dc.citation.endingpage103-
dc.citation.publicationnameNUMERISCHE MATHEMATIK-
dc.contributor.localauthorKim, Hong Oh-
dc.contributor.nonIdAuthorKim, SD-
dc.contributor.nonIdAuthorLee, YN-
dc.type.journalArticleArticle-
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