July 24, 2024

Numerical and Computational Challenges in Science and Engineering Program

Short Course on Numerical Bifurcation and Centre Manifold Analysis in Partial Differential Equations

Instructor: Klaus Böhmer, Philipps-Universität Marburg

Dates: November 19, 21, 22, 23, 26, 28, 2001
Times: 2:00 pm - 4:30 pm, (tea-break at 3:00-3:30)
Location: The Fields Institute, Room 210

Content of lectures:
Course Overview -(pdf format)
Preliminary version of two chapters of the book.

1. Introduction: Bifurcation Problems in Differential Equations.
2&3. Space Discretization for Elliptic Problems: Finite Element Methods.
4. Liapunov-Schmidt Methods and their Numerical Implementation.
5. Numerical Bifurcation Methods: Stability and Bordered Stability.
6. Center Manifolds and Numerical Center Manifold Methods.

Additional Information:
Detailed lecture notes, including background materials, will be provided to registered participants.

For more details on the thematic year and to register for this course, see the link on the Program Page
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