Faculty Directory
Alvin Bayliss

Professor of Engineering Sciences and Applied Mathematics


2145 Sheridan Road
Evanston, IL 60208-3109

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Engineering Sciences and Applied Mathematics

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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 ecology and combustion.  Development of adaptive numerical procedures for both finite differences and spectral methods. At this time my research focus is in computational ecology where I develop, analyze and simulate models of multi-species ecological communities. My second focus is in filtration combustion where I develop high resolution numerical methods for solid/gas combustion systems,

where gas is delivered to the reaction zone via filtration through pores in a solid matrix.

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, A.; Nepomnyashchy, A. A.; Volpert, V. A., Beyond rock–paper–scissors systems — Deterministic models of cyclic ecological systems with more than three species, Physica D: Nonlinear Phenomena 411.
  • 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 301:129-146.
  • Autry, E. A.; Bayliss, A.; Volpert, V. A., Traveling waves in a nonlocal, piecewise linear reaction-diffusion population model, Nonlinearity 30(8):3304-3331.
  • Bayliss, Alvin; Volpert, Vladimir, Complex predator invasion waves in a Holling–Tanner model with nonlocal prey interaction, Physica D: Nonlinear Phenomena 346:37-58.
  • Maestrello, L.; Bayliss, A., EXPERIMENTAL AND NUMERICAL RESULTS OF SOUND SCATTERING BY A BODY., AGARD Report(686):15. 1-15. 12.