Dr. Simon Tavener
Professor and Chair
Department of Mathematics
Colorado State University
105 Weber Building
Ft. Collins, CO 80523
Phone: (970) 491-6452
Fax: (970) 491-2161
Email: tavener@math.colostate.edu
Where am I? Schedule
Research opportunities for undergraduates
FEScUE is a new NSF-funded program to support jointly mentored undergraduate research at the interface of the mathematical and biological sciences.
Teaching
MATH 192: First Year Seminar in Mathematics
MATH 620: Variational Methods and Optimization
Research
My research work focuses on nonlinear phenomena in continuum mechanics, principally bifurcation phenomena. I have recently become interested in a posteriori error analysis and adaptivity for coupled physics problems and in the role mathematics in addressing problems in ecology.
Recent seminars
- A posteriori analysis and adaptive error control for operator decomposition approaches to coupled physics problems (including accurate estimation of transfer and interpolation errors)
- A posteriori error estimation and adaptivity for an operator decomposition approach to conjugate heat transfer (with application to the flow past a heated cylinder)
- Stability of flow past a confined cylinder (including the effect of rotation)
- Highjacking (black box) simulation codes to compute unstable solutions and bifurcation behavior (with application to flows in the Taylor-Couette apparatus)
- Two fluid Rayleigh-Marangoni-Benard convection (with a deformable interface, including instability on heating from above).
Echos from my past
- W.G. Pritchard Fluid Mechanics Laboratory
Before my move to Colorado State University, I was closely involved with the W.G. Pritchard Fluid Mechanics Laboratory in the Mathematics Department at the Pennsylvania State University.
- Freshman Calculus
At Penn State I was also associated with efforts to provide freshman calculus for engineering majors and laboratory experiments for freshman calculus.
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