On the steady states of finitely many chemical cells-Reference-Cited by-同舟云学术

On the steady states of finitely many chemical cells

Published:1985 Issue:170 Volume:44 Page:405-415
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Bigge J.,Bohl E.

Abstract

Mathematical models of the form (1) and (2) for diffusion-reaction phenomena are discussed. The occurrence of bifurcation points in the discrete case (2) is explained via a simple two-dimensional model.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1985-44-170/S0025-5718-1985-0777272-7/S0025-5718-1985-0777272-7.pdf

Reference15 articles.

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3. R. Aris, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts, Vols. I, II, Oxford, 1975.

4. W.-J. Beyn, Lösungszweige nichtlinearer Randwertaufgaben und ihre Approximation mit dem Differenzenverfahren, Habilitationsschrift, University of Konstanz, 1981.

5. Spurious solutions for discrete superlinear boundary value problems;Beyn, W.-J.;Computing,1982

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1. Bifurcation detection using the lanczos method and imbedded subspaces;IMPACT of Computing in Science and Engineering;1991-03

2. Error Questions in the Computation of Solution Manifolds of Parametrized Equations11This work was in part supported by the Office of Naval Research under contract N-00014–80-C-9455 and the National Science Foundation under grant DCR-8309926.;Reliability in Computing;1988

3. On the Numerical Approximation of Phase Portraits Near Stationary Points;SIAM Journal on Numerical Analysis;1987-10