Comparing two approaches for singular systems occurring during bifurcation analysis

Guo, Weiqiang (2021) Comparing two approaches for singular systems occurring during bifurcation analysis. Bachelor's Thesis, Applied Mathematics.

Preview	Text WeiqiangGuo_Bach_Thesis.pdf Download (369kB) | Preview
	Text toestemming.pdf Restricted to Registered users only Download (129kB)

Abstract

During bifurcation analysis, singular systems occur at various places in the algorithm. In this thesis, we consider the Jacobian matrix that becomes singular at a bifurcation point and to the shifted matrix occurring in the JDQZ for the eigenvalue problem, which becomes singular on convergence. The former singularity will be studied for the one-dimensional Bratu problem and the latter for the Rayleigh-Benard problem. In both cases, we apply two different approaches to solve the singular system and explore the influence of various parameters on the results.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Wubs, F.W.
Degree programme:	Applied Mathematics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	02 Aug 2021 09:40
Last Modified:	02 Aug 2021 09:40
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/25549

Actions (login required)

View Item