Faculty DirectoryAlvin Bayliss

Professor of Engineering Sciences and Applied Mathematics
Contact
2145 Sheridan RoadTech
Evanston, IL 60208-3109
Email Alvin Bayliss
Website
Departments
Engineering Sciences and Applied Mathematics
Education
Ph.D. Mathematics, New York University, New York, NY
M.S. Mathematics, New York University, New York, NY
B.S. Physics, City College of New York, New York, NY
Research Interests
I work in the numerical solution of partial differential equations, especially those modeling combusion, solid mechanics, wave propagation, and fluid dynamics. Development of adaptive numerical procedures for both finite differences and spectral methods. Computation and analysis of pattens in combustion, including both gaseous combustion nd solid fuel combustion, a procedure for the synthesis of materials usig highly exothermic reactions. Analysis and computations of integro-partial dfferential equations modeling nonloal interactions. An example of such a system involves competing populations where the computation or a scarce resource, e.g., water, food or air, depends on not just the population at a specific point but on a weighted average of the populations in a neighborhood of the point.
Significant Recognition
- Clarence ver Steeg Graduate Faculty Award
- McCormick Teaching Award
- ISI Highly Cited Researcher
Significant Professional Service
- Associate Editor - Journal of Computational Physics, Applied Numerical Mathematics
Selected Publications
- Bayliss, Alvin; Nepomnyashchy, A. A.; Volpert, Vladimir, Mathematical modeling of cyclic population dynamics, Physica D: Nonlinear Phenomena
- Autry, Eric A.; Bayliss, Alvin; Volpert, Vladimir, Biological control with nonlocal interactions, Mathematical Biosciences
- Autry, E. A.; Bayliss, A.; Volpert, V. A., Traveling waves in a nonlocal, piecewise linear reaction-diffusion population model, Nonlinearity
- Bayliss, Alvin; Volpert, Vladimir, Complex predator invasion waves in a Holling–Tanner model with nonlocal prey interaction, Physica D: Nonlinear Phenomena
- Maestrello, L.; Bayliss, A., EXPERIMENTAL AND NUMERICAL RESULTS OF SOUND SCATTERING BY A BODY., AGARD Report