Grants per year
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.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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 keywords
- Combustion
- Fluid dynamics
- Numerical methods for partial differential equations
- Spectral methods
- Wave propagation
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Collaborations and top research areas from the last five years
Grants
- 10 Finished
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Controllable Combustion of Metal Fuels for Space Power Systems
Volpert, V. (PD/PI) & Bayliss, A. (Co-PD/PI)
University of Texas at El Paso, National Aeronautics and Space Administration
1/13/20 → 1/12/24
Project: Research project
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REU Site: Preparing a Diverse Workforce through Interdisciplinary Astrophysics Research
Kalogera, V. (PD/PI), Abrams, D. (Other), Bayliss, A. (Other), Dahl, C. E. (Other), De Gouvea, A. L. (Other), Jacobsen, S. (Other), Jurdy, D. M. (Other), Novak, G. A. (Other), Rasio, F. A. (Other), Shahriar, S. M. (Other) & Ulmer, M. P. (Other)
9/1/14 → 5/31/18
Project: Research project
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EMS21-RTG: Applied Mathematics Training Program for Interdisciplinary Research in Science & Engineering
Bayliss, A. (PD/PI), Chopp, D. L. (Co-PD/PI) & Miksis, M. J. (Co-PD/PI)
9/1/07 → 8/31/14
Project: Research project
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EMSW21-RTG: Applied Mathematics Training Program for Interdisciplinary Research in Science & Engineering
Bayliss, A. (PD/PI), Chopp, D. L. (Co-PD/PI), Miksis, M. J. (Co-PD/PI) & Volpert, V. (Co-PD/PI)
9/1/07 → 8/31/14
Project: Research project
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Acquisition of a Versatile High Performance Computing Facility for Gravitational Wave Source
Kalogera, V. (PD/PI), Bayliss, A. (Co-PD/PI), Rasio, F. A. (Co-PD/PI), Taam, R. E. (Co-PD/PI) & Zadeh, F. (Co-PD/PI)
10/1/06 → 9/30/08
Project: Research project
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Fractured alliances in a four-species cyclic ecological system
Siegfried, E. Y., Bayliss, A. & Volpert, V. A., Feb 2025, In: Physica D: Nonlinear Phenomena. 472, 134479.Research output: Contribution to journal › Article › peer-review
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Competing alliances in a four-species cyclic ecosystem
Wang, Z., Bayliss, A. & Volpert, V. A., Mar 1 2024, In: Applied Mathematics and Computation. 464, 128396.Research output: Contribution to journal › Article › peer-review
2 Scopus citations -
Coflow filtration combustion waves
Bayliss, A., Shafirovich, E. & Volpert, V. A., 2023, In: Combustion Theory and Modelling. 27, 7, p. 853-868 16 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
Cyclic Ecological Systems with an Exceptional Species
Stiadle, T. I., Bayliss, A. & Volpert, V. A., Apr 15 2023, In: Applied Mathematics and Computation. 443, 127739.Research output: Contribution to journal › Article › peer-review
Open Access2 Scopus citations -
Order and Disorder in a Cyclically Competitive Ecological Community
Stiadle, T. I., Bayliss, A. & Volpert, V. A., Mar 2023, In: SIAM Journal on Applied Dynamical Systems. 22, 1, p. 129-161 33 p.Research output: Contribution to journal › Article › peer-review