Search Results - "Bayliss, Alvin"

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  1. 1

    Cyclic Ecological Systems with an Exceptional Species by Stiadle, Thomas I., Bayliss, Alvin, Volpert, Vladimir A.

    Published in Applied mathematics and computation (15-04-2023)
    “…•Developed model of cyclically competing communities with exceptional competitor•Determined transcritical bifurcations connecting different…”
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  2. 2

    Counterflow combustion waves in short samples of metal powders at natural filtration of oxygen by Bayliss, Alvin, Shafirovich, Evgeny, Volpert, Vladimir A.

    Published in Combustion theory and modelling (07-06-2022)
    “…Combustion of a porous solid fuel is considered. An exothermic reaction takes place between the fuel and a gaseous oxidiser which is delivered to the reaction…”
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  3. 3

    Coflow filtration combustion waves by Bayliss, A., Shafirovich, E., Volpert, V.A.

    Published in Combustion theory and modelling (10-11-2023)
    “…Recently, it has been proposed to develop space power systems based on filtration combustion of metal powders with oxygen supplied by a chemical oxygen…”
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  4. 4

    Biological control with nonlocal interactions by Autry, Eric A., Bayliss, Alvin, Volpert, Vladimir A.

    Published in Mathematical biosciences (01-07-2018)
    “…•Biological control with ratio dependent responses can exhibit pest resurgences.•Noise, diffusion, and moderate nonlocality can trigger pest resurgences.•Front…”
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  5. 5

    Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions by Bayliss, Alvin, Gunzburger, Max, Turkel, Eli

    Published in SIAM journal on applied mathematics (01-04-1982)
    “…Elliptic equations in exterior regions frequently require a boundary condition at infinity to ensure the well-posedness of the problem. Examples of practical…”
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  7. 7

    Solution of adiabatic and nonadiabatic combustion problems using step-function reaction models by Bayliss, Alvin, Lennon, Erin M., Tanzy, Matthew C., Volpert, Vladimir A.

    Published in Journal of engineering mathematics (01-04-2013)
    “…We consider the use of step-functions to model Arrhenius reaction terms for traveling wave solutions to combustion problems. We develop a methodology by which…”
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  8. 8

    Competing reactions in condensed phase combustion: wave structure and stability by Tanzy, Matthew C., Lennon, Erin M., Volpert, Vladimir A., Bayliss, Alvin

    Published in Journal of engineering mathematics (01-06-2013)
    “…We consider the use of step functions to model Arrhenius reaction terms for traveling wave solutions to combustion problems involving condensed-phase competing…”
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  9. 9

    Low Mach Number Modeling of Type I X-Ray Burst Deflagrations by Lin, David J, Bayliss, Alvin, Taam, Ronald E

    Published in The Astrophysical journal (10-12-2006)
    “…The low Mach number approximation (LMNA) is applied to two-dimensional hydrodynamic modeling of type I X-ray bursts on a rectangular patch on the surface of a…”
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  10. 10

    Nonaxisymmetric disturbances in a jet and their effect on structural loading by Bayliss, Alvin, Maestrello, Lucio

    “…A model of sound generated in a high subsonic (Mach 0.9) circular jet is solved numerically in cylindrical coordinates for nonaxisymmetric disturbances. The…”
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  11. 11

    Roundoff Error in Computing Derivatives Using the Chebyshev Differentiation Matrix by Bayliss, Alvin, Class, Andreas, Matkowsky, Bernard J.

    Published in Journal of computational physics (01-02-1995)
    “…One cause of roundoff error in using the Chebyshev differentiation matrix is identified as the failure of the computed matrix to precisely preserve the…”
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  12. 12

    Adaptive Pseudo-Spectral Domain Decomposition and the Approximation of Multiple Layers by Bayliss, Alvin, Garbey, Marc, Matkowsky, Bernard J.

    Published in Journal of computational physics (01-06-1995)
    “…When Chebyshev pseudo-spectral methods are used with domain decomposition procedures in the numerical solution of partial differential equations, the use of…”
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  13. 13

    Panel response to jet noise under near sonic conditions by Fenno, Charles C., Bayliss, Alvin, Maestrello, Lucio

    “…The problem of the response of an array of flexible aircraft-type panels excited by noise from a jet under near sonic conditions from a converging nozzle is…”
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  14. 14

    Localized Flickering Cellular Flames by Class, Andreas, Bayliss, Alvin, Matkowsky, Bernard J.

    “…We illustrate the formation and evolution of cellular flames described by localized, ordered solutions of a modified Kuramoto-Sivashinsky equation (MKSE)…”
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  15. 15

    Finite-difference modeling of acoustic waveforms in a fluid-filled borehole surrounded by a Biot porous media by Kostek, Sergio, Bayliss, Alvin

    “…Analytical techniques are very efficient in dealing with either homogeneous or layered fluid-saturated poroelastic media. Inhomogeneities in the material…”
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  16. 16

    On the interaction of sound from a jet with a nearby structure by McGreevy, Jennifer L., Bayliss, Alvin, Maestrello, Lucio

    “…The excitation of a flexible beam by acoustic disturbances generated by a spreading subsonic jet and the resulting interaction and acoustic radiation is…”
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  17. 17

    Adaptive Approximation of Solutions to Problems with Multiple Layers by Chebyshev Pseudo-Spectral Methods by Bayliss, Alvin, Class, Andreas, Matkowsky, Bernard J.

    Published in Journal of computational physics (01-01-1995)
    “…We develop end analyze a family of mappings which enhance the accuracy of Chebyshev pseudo-spectral methods in approximating functions with multiple regions of…”
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  18. 18

    The role of acoustic coupling on the radiation from a vibrating source by Maestrello, Lucio, Frendi, Abdelkader, Bayliss, Alvin

    “…The response of an acoustically excited flexible surface together with the resulting sound radiation was considered. A model was employed that accounts for the…”
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  19. 19

    From Traveling Waves to Chaos in Combustion by Bayliss, Alvin, Matkowsky, Bernard J.

    Published in SIAM journal on applied mathematics (01-02-1994)
    “…The nonlinear evolution of nonadiabatic, nonsteady cellular flames is studied numerically as a function of a parameter related to heat loss. The specific…”
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  20. 20

    A Double Shooting Scheme for Certain Unstable and Singular Boundary Value Problems by Bayliss, Alvin

    Published in Mathematics of computation (01-01-1978)
    “…A scheme is presented to obtain the unique bounded solution for an exponentially unstable linear system. The scheme consists of choosing random data at large…”
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