Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Deformations of the bifurcation diagram due to discretization


Authors: J. Bigge and E. Bohl
Journal: Math. Comp. 45 (1985), 393-403
MSC: Primary 65L10; Secondary 58F14
DOI: https://doi.org/10.1090/S0025-5718-1985-0804931-X
MathSciNet review: 804931
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: With a singular perturbation problem occurring in chemical reaction processes, substantial changes of the bifurcation diagram due to discretization are demonstrated. It is shown that a discrete system can possess any number of solutions, whereas the underlying continuous problem has exactly one solution. In addition to that, there is no way to favor one of the various discrete solutions as the one approximating the continuous solution.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65L10, 58F14

Retrieve articles in all journals with MSC: 65L10, 58F14


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1985-0804931-X
Keywords: Discrete deformations of bifurcation diagrams
Article copyright: © Copyright 1985 American Mathematical Society