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Song, Weiyan and Wubs, Fred W. and Thies, Jonas and Baars, Sven (2018) Numerical Bifurcation Analysis of a 3D Turing-type Reaction-Diffusion Model. Communications in Nonlinear Science and Numerical Simulation, 60, pp. 145-164. Elsevier. doi: 10.1016/j.cnsns.2018.01.003. ISSN 1007-5704.
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Official URL: https://doi.org/10.1016/j.cnsns.2018.01.003
Abstract
We perform a numerical study of a two-component reaction-diffusion model. By using numerical continuation methods, combined with state-of-the-art sparse linear and eigenvalue solvers, we systematically compute steady state solutions and analyze their stability and relations in both two and three space dimensions. The approach gives a more reliable and complete picture than previous efforts based on time integration schemes and is also typically much more efficient in terms of computing time. We are therefore able to produce a rich bifurcation diagram showing a variety of solution patterns and transitions.
| Item URL in elib: | https://elib.dlr.de/114767/ | ||||||||||||||||||||
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| Document Type: | Article | ||||||||||||||||||||
| Title: | Numerical Bifurcation Analysis of a 3D Turing-type Reaction-Diffusion Model | ||||||||||||||||||||
| Authors: |
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| Date: | July 2018 | ||||||||||||||||||||
| Journal or Publication Title: | Communications in Nonlinear Science and Numerical Simulation | ||||||||||||||||||||
| Refereed publication: | Yes | ||||||||||||||||||||
| Open Access: | No | ||||||||||||||||||||
| Gold Open Access: | No | ||||||||||||||||||||
| In SCOPUS: | Yes | ||||||||||||||||||||
| In ISI Web of Science: | Yes | ||||||||||||||||||||
| Volume: | 60 | ||||||||||||||||||||
| DOI: | 10.1016/j.cnsns.2018.01.003 | ||||||||||||||||||||
| Page Range: | pp. 145-164 | ||||||||||||||||||||
| Editors: |
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| Publisher: | Elsevier | ||||||||||||||||||||
| ISSN: | 1007-5704 | ||||||||||||||||||||
| Status: | Published | ||||||||||||||||||||
| Keywords: | continuation; pattern formation; bifurcation diagram; stability | ||||||||||||||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||||||||||
| HGF - Program: | Space | ||||||||||||||||||||
| HGF - Program Themes: | Space System Technology | ||||||||||||||||||||
| DLR - Research area: | Raumfahrt | ||||||||||||||||||||
| DLR - Program: | R SY - Space System Technology | ||||||||||||||||||||
| DLR - Research theme (Project): | R - Vorhaben SISTEC (old) | ||||||||||||||||||||
| Location: | Köln-Porz | ||||||||||||||||||||
| Institutes and Institutions: | Institut of Simulation and Software Technology > High Performance Computing Institut of Simulation and Software Technology | ||||||||||||||||||||
| Deposited By: | Thies, Jonas | ||||||||||||||||||||
| Deposited On: | 12 Jan 2018 11:23 | ||||||||||||||||||||
| Last Modified: | 02 Nov 2023 10:00 |
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- Numerical Bifurcation Analysis of a 3D Turing-type Reaction-Diffusion Model. (deposited 12 Jan 2018 11:23) [Currently Displayed]
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