Application of Markov Chain Approximation Method to Nonlinear Diffusion Equation-Reference-Cited by-同舟云学术

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Application of Markov Chain Approximation Method to Nonlinear Diffusion Equation

Published:2024-04-01 Issue:0 Volume:2024 Page:68-72
ISSN:2188-4730
Container-title:Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
language:en
Short-container-title:Stochastic Systems Theory and its Applications (SSS)

Author:

Watanabe Itsuki¹

Affiliation:

1. Department of Applied Mathematics, School of Fundamental Science and Engineering, Waseda University

Publisher

The Institute of Systems, Control and Information Engineers

Link

https://www.jstage.jst.go.jp/article/sss/2024/0/2024_68/_pdf

Reference16 articles.

1. [1] L. Arnold and M. Theodosopulu. Deterministic limit of the stochastic model of chemical reactions with diffusion. Advances in Applied Probability, 12(2):367–379, 1980.

2. [2] D. Blount. Comparison of a stochastic model of a chemical reaction with diffusion and the deter ministic model. University of Wisconsin–Madison, 1987.

3. [3] D. Blount. Comparison of stochastic and deterministic models of a linear chemical reaction with diffusion. The Annals of Probability, pages 1440–1462, 1991.

4. [4] D. Blount. Limit theorems for a sequence of nonlinear reaction-diffusion systems. Stochastic processes and their applications, 45(2):193–207, 1993.

5. [5] D. Blount. Diffusion limits for a nonlinear density dependent space-time population model. The Annals of Probability, 24(2):639–659, 1996.

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