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Contact information
Office: 558 Snow Hall
Phone: (785) 864-7373
Fax: (785) 864-5255
E-mail: 
URL: http://www.math.ku.edu/~mbadawy/
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Professional Information
Research Interests
- Numerical Analysis
& Dynamical Systems.
- More specifically, I am
interested in the stability spectra (Lyapunov exponents &
Sacker-Sell spectra) of infinite dimensional dynamical systems. By
developing perturbation analysis results, we obtain quantifiable error
bounds on the stability spectra of such systems. As an application, we
obtain error bounds on the stability spectra of certain PDE problems.
- The numerical
computation of the zeros of the Evans function of certain PDE problems
to study the stability of asymptotically periodic traveling wave
solutions and connecting orbits.
- Developing continuation methods, along with robust numerical
algorithms, to compute the global Lyapunov exponents. Also of interest
is the application of these ideas to the study of weather models.
Publications &Preprints: Please
check
the "Research" tab in the menu bar above.
