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Alvin Bayliss

  • 2704 Citations
1978 …2019

Research output per year

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Personal profile

Research Interests

Professor Bayliss works in the numerical solution of partial differential equations, especially those modeling combustion, 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 and 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.

Education/Academic qualification

Mathematics, PhD, New York University

… → 1975

Mathematics, MS, New York University

… → 1973

Physics, BS, City University of New York

… → 1967

Research interests

  • Combustion
  • Fluid dynamics
  • Numerical methods for partial differential equations
  • Spectral methods
  • Wave propagation

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Grants

REU Site: Preparing a Diverse Workforce through Interdisciplinary Astrophysics Research

Abrams, D. M., Bayliss, A., Dahl, C. E., De Gouvea, A. L., Geller, A. M., Jacobsen, S. D., Jurdy, D. M., Kalogera, V., Novak, G. A., Rasio, F. A., Shahriar, S. M. & Ulmer, M. P.

National Science Foundation

9/1/14 → 5/31/18

Project: Research project

    • EMSW21-RTG: Applied Mathematics Training Program for Interdisciplinary Research in Science & Engineering

    Bayliss, A., Chopp, D. L., Miksis, M. J. & Volpert, V.

    National Science Foundation

    9/1/07 → 8/31/14

    Project: Research project

    EMS21-RTG: Applied Mathematics Training Program for Interdisciplinary Research in Science & Engineering

    Bayliss, A., Chopp, D. L. & Miksis, M. J.

    National Science Foundation

    9/1/07 → 8/31/14

    Project: Research project

    Acquisition of a Versatile High Performance Computing Facility for Gravitational Wave Source

    Bayliss, A., Kalogera, V., Rasio, F. A., Taam, R. E. & Yusef-Zadeh, F.

    National Science Foundation

    10/1/06 → 9/30/08

    Project: Research project

    Filtration Combustion for Microgravity Applications: (1) Smoldering and Fire Safety, (2) Combustion Synthesis of Advanced Materials

    Bayliss, A. & Matkowsky, B. J.

    NASA John H. Glenn Research Center at Lewis Field

    11/19/03 → 9/30/06

    Project: Research project

    Research Output

    Mathematical modeling of cyclic population dynamics

    Bayliss, A., Nepomnyashchy, A. A. & Volpert, V., Jan 1 2019, In : Physica D: Nonlinear Phenomena.

    Research output: Contribution to journal › Article

    • Biological control with nonlocal interactions

    Autry, E. A., Bayliss, A. & Volpert, V., Jul 1 2018, In : Mathematical Biosciences. 301, p. 129-146 18 p.

    Research output: Contribution to journal › Article

    • 2 Scopus citations

    Complex predator invasion waves in a Holling–Tanner model with nonlocal prey interaction

    Bayliss, A. & Volpert, V., May 1 2017, In : Physica D: Nonlinear Phenomena. 346, p. 37-58 22 p.

    Research output: Contribution to journal › Article

    • 13 Scopus citations

    EXPERIMENTAL AND NUMERICAL RESULTS OF SOUND SCATTERING BY A BODY.

    Maestrello, L. & Bayliss, A., Jan 1 2017, In : AGARD Report. 686, p. 15. 1-15. 12

    Research output: Contribution to journal › Conference article

    • Traveling waves in a nonlocal, piecewise linear reaction-diffusion population model

    Autry, E. A., Bayliss, A. & Volpert, V. A., Jul 21 2017, In : Nonlinearity. 30, 8, p. 3304-3331 28 p.

    Research output: Contribution to journal › Article

    • 1 Scopus citations