Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Charles I. Goldstein"'
Publikováno v:
Journal of Electroanalytical Chemistry. 413:25-36
A stable, accurate, and efficient fully implicit finite difference algorithm is developed for the simulation of electrochemical behavior at a rotating disk electrode (RDE). Convenient expressions are developed for accurate evaluations of the hydrodyn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff1c41472f8e1e42d2ff6cbd738d1c84
https://doi.org/10.1016/0022-0728(96)04625-6
https://doi.org/10.1016/0022-0728(96)04625-6
Publikováno v:
Journal of Electroanalytical Chemistry. 397:1-10
This paper describes the development and application of the fully implicit finite-difference algorithm with the Richtmyer modification (the FIRM algorithm) and an exponential time grid to simulations of stiff problems involving homogeneous kinetics a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f3a759ba7db0efb32c79fbd37ba43b1
https://doi.org/10.1016/0022-0728(95)04161-1
https://doi.org/10.1016/0022-0728(95)04161-1
Autor:
Charles I. Goldstein
Publikováno v:
SIAM Journal on Numerical Analysis. 31:1623-1644
This paper is concerned with the H[sup 1]-condition number and singular value distribution of preconditioned nonself adjoint discrete elliptic operators. In particular, a wide class of nonconforming finite element methods are investigated. The main r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e34bf580e599bd3d9fe8a294c4b738e
https://doi.org/10.1137/0731084
https://doi.org/10.1137/0731084
Publikováno v:
SIAM Journal on Scientific Computing. 15:566-576
The authors describe and analyze certain V-cycle multigrid algorithms with forms defined by numerical quadrature applied to the approximation of symmetric second-order elliptic boundary value problems. This approach can be used for the efficient solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee8c5dcdece93dce65469a8f44a0edf7
https://doi.org/10.1137/0915037
https://doi.org/10.1137/0915037
Publikováno v:
SIAM Journal on Scientific Computing. 14:1072-1088
In this paper, the authors consider the solution of the discrete systems that arises when a mixed finite element approach is used to approximate the solution of second-order elliptic boundary value problems. By the introduction of a penalty parameter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d4d933126cc9ad27f3e15467809a083
https://doi.org/10.1137/0914065
https://doi.org/10.1137/0914065
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
Autor:
Charles I. Goldstein
Publikováno v:
SIAM Journal on Numerical Analysis. 30:159-183
The goal of this work is to study multigrid methods in connection with the numerical solution of elliptic problems in the exterior of a bounded domain. The numerical method consists of approximating the original problem by one on a truncated domain o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1c57e1705a7aeb9529f6bca883681be
https://doi.org/10.1137/0730008
https://doi.org/10.1137/0730008
Autor:
Charles I. Goldstein
Publikováno v:
Numerical Functional Analysis and Optimization. 14:45-68
This paper is concerned with the singular value distribution and eigenvalue distribution of preconditioned non-selfadjoint elliptic operators corresponding to finite element discretizations of elliptic boundary value problems. The distribution of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81b29547282369f7286c8eea51d0b123
https://doi.org/10.1080/01630569308816507
https://doi.org/10.1080/01630569308816507
Autor:
Charles I. Goldstein
Publikováno v:
Mathematics of Computation. 56:409-436
We analyze multigrid convergence rates when elliptic boundary value problems are discretized using finite element methods with numerical integration. The resulting discrete problem does not fall into the standard variational framework for analyzing m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8a2d1a4c59eca17798194cfdf536b0c
https://doi.org/10.1090/s0025-5718-1991-1066832-7
https://doi.org/10.1090/s0025-5718-1991-1066832-7
Autor:
Charles I. Goldstein
Publikováno v:
Mathematical Methods and Applications of Scattering Theory ISBN: 9783540100232
Certain numerical methods for approximately solving Helmholtz type equations in unbounded regions in two the three dimensional space, subject to appropriate radiation conditions at infinity are described.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f205e7b0386ac8dd1ef9661d6a070356
https://doi.org/10.1007/3-540-10023-7_92
https://doi.org/10.1007/3-540-10023-7_92
