| Abstract: |
| Many nonlinear PDE systems have emerged from the fields of engineering and biology, and have garnered the attention of research scientists interested in studying their complex solution structures, such as pattern formation. In this talk, I will introduce several methods for computing the multiple solutions of such nonlinear PDEs. Specifically, I will discuss the use of the homotopy continuation technique for computing the multiple steady states of nonlinear differential equations and for exploring the relationship between the number of steady states and the system`s parameters. Additionally, I will provide examples of benchmark problems that can be used to illustrate these concepts. |
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