Search Results - "Bayliss, Alvin"
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1
Cyclic Ecological Systems with an Exceptional Species
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
Counterflow combustion waves in short samples of metal powders at natural filtration of oxygen
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
Coflow filtration combustion waves
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
Biological control with nonlocal interactions
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
Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
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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6
From traveling waves to chaos in combustion
Published in SIAM journal on applied mathematics (01-02-1994)Get full text
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Solution of adiabatic and nonadiabatic combustion problems using step-function reaction models
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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Competing reactions in condensed phase combustion: wave structure and stability
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
Low Mach Number Modeling of Type I X-Ray Burst Deflagrations
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
Nonaxisymmetric disturbances in a jet and their effect on structural loading
Published in The Journal of the Acoustical Society of America (01-09-1998)“…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
Roundoff Error in Computing Derivatives Using the Chebyshev Differentiation Matrix
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
Adaptive Pseudo-Spectral Domain Decomposition and the Approximation of Multiple Layers
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
Panel response to jet noise under near sonic conditions
Published in The Journal of the Acoustical Society of America (01-05-1995)“…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
Localized Flickering Cellular Flames
Published in SIAM journal on applied mathematics (1998)“…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
Finite-difference modeling of acoustic waveforms in a fluid-filled borehole surrounded by a Biot porous media
Published in The Journal of the Acoustical Society of America (01-05-1990)“…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
On the interaction of sound from a jet with a nearby structure
Published in The Journal of the Acoustical Society of America (01-05-1994)“…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
Adaptive Approximation of Solutions to Problems with Multiple Layers by Chebyshev Pseudo-Spectral Methods
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
The role of acoustic coupling on the radiation from a vibrating source
Published in The Journal of the Acoustical Society of America (01-04-1993)“…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
From Traveling Waves to Chaos in Combustion
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
A Double Shooting Scheme for Certain Unstable and Singular Boundary Value Problems
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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