DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Hong Oh | ko |
dc.contributor.author | Kim, SD | ko |
dc.contributor.author | Lee, YN | ko |
dc.date.accessioned | 2013-03-02T12:54:53Z | - |
dc.date.available | 2013-03-02T12:54:53Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1997-07 | - |
dc.identifier.citation | NUMERISCHE MATHEMATIK, v.77, no.1, pp.83 - 103 | - |
dc.identifier.issn | 0029-599X | - |
dc.identifier.uri | http://hdl.handle.net/10203/73615 | - |
dc.description.abstract | We 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.language | English | - |
dc.publisher | SPRINGER VERLAG | - |
dc.title | Finite difference preconditioning cubic spline collocation method of elliptic equations | - |
dc.type | Article | - |
dc.identifier.wosid | A1997XM68700004 | - |
dc.type.rims | ART | - |
dc.citation.volume | 77 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 83 | - |
dc.citation.endingpage | 103 | - |
dc.citation.publicationname | NUMERISCHE MATHEMATIK | - |
dc.contributor.localauthor | Kim, Hong Oh | - |
dc.contributor.nonIdAuthor | Kim, SD | - |
dc.contributor.nonIdAuthor | Lee, YN | - |
dc.type.journalArticle | Article | - |
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