Abstract
We consider numerical continuation and detection of bifurcation of solutions of large nonlinear systems, particularly those derived from discretization of partial differential equations. The basic idea is to start from a nonsingular solution and continue it with respect to a control parameter. If a bifurcation is detected between two consecutive continuation steps, we undertake a local analysis of the bifurcation scenario and stability of bifurcating solution branches. Thereafter, we switch to a chosen solution branch and continue it further. Both continuation and bifurcation analysis involve solution of large linear systems. Iterative methods and preconditioning techniques are studied for efficient solution of large linear systems and eigenvalue problems.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
