Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Seymour V. Parter"'
Autor:
Sang Dong Kim, Seymour V. Parter
Publikováno v:
SIAM Journal on Numerical Analysis. 41:767-795
In this work we consider the semicirculant preconditioning of elliptic differential operators of the form Lu := - \epsilon \Delta u + au_x + bu_y + cu $$ in two cases: $0 < \epsilon \ll 1$ and $\epsilon \equiv 1$. The paper [Numer. Math., 81 (1998),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49500c9238144cef9da53320cf90b886
https://doi.org/10.1137/s0036142902403000
https://doi.org/10.1137/s0036142902403000
Autor:
Seymour V. Parter
Publikováno v:
SIAM Journal on Numerical Analysis. 39:348-362
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6248c50c60b40180f520c2c2f6cdd22
https://doi.org/10.1137/s0036142999365072
https://doi.org/10.1137/s0036142999365072
Autor:
Seymour V. Parter
Publikováno v:
Journal of Scientific Computing. 14:347-355
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1009fbf1dc42dbbd1a35410bec1e5e0
https://doi.org/10.1023/a:1023204631825
https://doi.org/10.1023/a:1023204631825
Autor:
Seymour V. Parter, Sang Dong Kim
Publikováno v:
SIAM Journal on Numerical Analysis. 34:939-958
In 1979 Orszag proposed a finite-difference preconditioning of the Chebyshev collocation discretization of the Poisson equation. In 1984 Haldenwang, Labrosse, Abboudi, and DeVille gave analytic formulae for the eigenvalues of this preconditioned oper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff71088e40cf0ad0692b4720b6e5e64f
https://doi.org/10.1137/s0036142995285034
https://doi.org/10.1137/s0036142995285034
Autor:
Sang Dong Kim, Seymour V. Parter
Publikováno v:
SIAM Journal on Numerical Analysis. 33:2375-2400
In this paper we analyze a preconditioning technique for the solution of Chebyshev spectral collocation equations with Dirichlet boundary conditions. We obtain bounds on the eigenvalues for the Helmholtz equation. These eigenvalue bounds are obtained
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https://explore.openaire.eu/search/publication?articleId=doi_________::ac01c60b3c8cdf3d262b2e73502b223f
https://doi.org/10.1137/s0036142994275998
https://doi.org/10.1137/s0036142994275998
Autor:
Seymour V. Parter, Sang Dong Kim
Publikováno v:
Numerische Mathematik. 72:39-72
This work considers the uniformly elliptic operator $A$ defined by $Au := \ -\Delta u + a_1 u_x + a_2 u_y + a_0 u$ in $\Omega$ (the unit square) with boundary conditions: $u \ = \ 0 $ on $\Gamma_0$ and ${{\partial u} \over {\partial \nu }} = \alpha u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc04baaf3a5f87dbca05f3445d7a888c
https://doi.org/10.1007/s002110050159
https://doi.org/10.1007/s002110050159
Autor:
Seymour V. Parter, Chang-Ock Lee
Publikováno v:
Numerische Mathematik. 71:59-90
Some years ago there was a great interest in the asymptotic (as h → 0) rates of convergence of block iterative methods for elliptic difference equations ([V], [HV], [P1], [PS1], [PS2]). The k x k block iterative methods and the k-line iterative met
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45bd7c7c301e86f57d461a1642508002
https://doi.org/10.1007/s002110050136
https://doi.org/10.1007/s002110050136
Autor:
Ernest E. Rothman, Seymour V. Parter
Publikováno v:
SIAM Journal on Numerical Analysis. 32:333-385
This work deals with the $H^1 $ condition numbers and the distribution of the $\tilde \beta _{N,M} $-singular values of the preconditioned operators $\{ \tilde \beta _{N,M}^{ - 1} W_{N,M} \hat A_{N,M} \} $. $\hat A_{N,M} $ is the matrix representatio
Externí odkaz:
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https://doi.org/10.1137/0732015
https://doi.org/10.1137/0732015
Publikováno v:
SIAM Journal on Numerical Analysis. 30:343-376
This work deals with the behavior - in the L[sub 2] norm - of the condition number and distribution of the L[sub 2] singular values of the preconditioned operators B[sub h][sup [minus]1]A[sub h] and A[sub h]B[sub h][sup [minus]1][sub h], where A[sub
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e92f2775e9e5fce915854f4b6aacaff
https://doi.org/10.1137/0730017
https://doi.org/10.1137/0730017
Publikováno v:
SIAM Journal on Scientific and Statistical Computing. 13:259-288
In an earlier work Manteuffel and Parter discussed the role of boundary conditions in obtaining elliptic operators B so that the preconditioned operators $B_h^{ - 1} A_h $ or $A_h B_h^{ - 1} $ have uniformly bounded $L_2 $ condition number. Here A is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8517eaf6015828e2785665fb5b9339a
https://doi.org/10.1137/0913014
https://doi.org/10.1137/0913014