skip to main content
Language:
Search Limited to: Search Limited to: Resource type Show Results with: Show Results with: Search type Index

Parameter-Uniform Numerical Methods for a Class of Singularly Perturbed Problems with a Neumann Boundary Condition

Lecture notes in computer science, 2001, p.292-303 [Peer Reviewed Journal]

Springer-Verlag Berlin Heidelberg 2001 ;2001 INIST-CNRS ;ISSN: 0302-9743 ;ISBN: 3540418148 ;ISBN: 9783540418146 ;EISSN: 1611-3349 ;EISBN: 3540452621 ;EISBN: 9783540452621 ;DOI: 10.1007/3-540-45262-1_35

Full text available

Citations Cited by
  • Title:
    Parameter-Uniform Numerical Methods for a Class of Singularly Perturbed Problems with a Neumann Boundary Condition
  • Author: Farrell, P. A. ; Hegart, A. F. ; Miller, J. J. H. ; O’Riordan, E. ; Shishkin, G. I.
  • Subjects: Discrete Solution ; Mesh Region ; Neumann Boundary Condition ; Perturbation Parameter ; Uniform Mesh
  • Is Part Of: Lecture notes in computer science, 2001, p.292-303
  • Description: The error generated by the classical upwind finite difference method on a uniform mesh, when applied to a class of singularly perturbed modelordinary different alequations with a singularly perturbed Neumann boundary condition, tends to infinity as the singular perturbation parameter tends to zero. Note that the exact solution is uniformly bounded with respect to the perturbat on parameter. For the same classcal finite difference operator on an appropriate piecewise -uniform mesh, it is shown that the numerical solutions converge, uniformly with respect to the perturbation parameter, to the exact solution of any problem from this class.
  • Publisher: Berlin, Heidelberg: Springer Berlin Heidelberg
  • Language: English;Russian
  • Identifier: ISSN: 0302-9743
    ISBN: 3540418148
    ISBN: 9783540418146
    EISSN: 1611-3349
    EISBN: 3540452621
    EISBN: 9783540452621
    DOI: 10.1007/3-540-45262-1_35
  • Source: Alma/SFX Local Collection
Back to results list
INSPIRE LIBRARY - TON DUC THANG UNIVERSITY (84-028) 37 755 057 Feedback
19 Nguyen Huu Tho St. Dist.7, HCM thuvien@tdtu.edu.vn

Copyright © 2017 INSPIRE LIBRARY - TON DUC THANG UNIVERSITY

Searching Remote Databases, Please Wait