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Sarah Mitchell
Sarah Mitchell
Associate Professor in Applied Mathematics, University of Limerick
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Application of standard and refined heat balance integral methods to one-dimensional Stefan problems
SL Mitchell, TG Myers
SIAM review 52 (1), 57-86, 2010
1552010
Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
SL Mitchell, M Vynnycky
Applied Mathematics and Computation 215 (4), 1609-1621, 2009
1452009
Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions
SL Mitchell, TG Myers
International Journal of Heat and Mass Transfer 53 (17-18), 3540-3551, 2010
1122010
Glacial melt under a porous debris layer
GW Evatt, ID Abrahams, M Heil, C Mayer, J Kingslake, SL Mitchell, ...
Journal of Glaciology 61 (229), 825-836, 2015
1112015
On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
SL Mitchell, M Vynnycky
Journal of Computational and Applied Mathematics 264, 49-64, 2014
712014
A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
TG Myers, SL Mitchell, G Muchatibaya, MY Myers
International Journal of Heat and Mass Transfer 50 (25-26), 5305-5317, 2007
652007
An asymptotic framework for the analysis of hydraulic fractures: the impermeable case
SL Mitchell, R Kuske, AP Peirce
602007
Application of Heat Balance Integral Methods to One‐Dimensional Phase Change Problems
SL Mitchell, TG Myers
International Journal of Differential Equations 2012 (1), 187902, 2012
582012
An asymptotic framework for finite hydraulic fractures including leak-off
SL Mitchell, R Kuske, AP Peirce
SIAM Journal on Applied Mathematics 67 (2), 364-386, 2007
582007
An accurate numerical solution for the transient heating of an evaporating spherical droplet
SL Mitchell, M Vynnycky, IG Gusev, SS Sazhin
Applied Mathematics and Computation 217 (22), 9219-9233, 2011
572011
A mathematical model for nanoparticle melting with density change
F Font, TG Myers, SL Mitchell
Microfluidics and Nanofluidics 18, 233-243, 2015
502015
Heat balance integral method for one-dimensional finite ablation
SL Mitchell, TG Myers
Journal of Thermophysics and Heat Transfer 22 (3), 508-514, 2008
482008
Application of the combined integral method to Stefan problems
TG Myers, SL Mitchell
Applied Mathematical Modelling 35 (9), 4281-4294, 2011
472011
An accurate finite-difference method for ablation-type Stefan problems
SL Mitchell, M Vynnycky
Journal of Computational and Applied Mathematics, 2012
462012
Modelling the efficiency of a nanofluid-based direct absorption parabolic trough solar collector
GJ O’Keeffe, SL Mitchell, TG Myers, V Cregan
Solar Energy 159, 44-54, 2018
442018
Unsteady contact melting of a rectangular cross-section material on a flat plate
TG Myers, SL Mitchell, G Muchatibaya
Physics of Fluids 20 (10), 2008
412008
Evaporative cooling and the Mpemba effect
M Vynnycky, SL Mitchell
Heat and mass transfer 46, 881-890, 2010
402010
Volunteer choice of nonprofit organisation: an integrated framework
SL Mitchell, M Clark
European Journal of Marketing 55 (1), 63-94, 2020
342020
One-dimensional solidification of supercooled melts
F Font, SL Mitchell, TG Myers
International Journal of Heat and Mass Transfer 62, 411-421, 2013
332013
Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers
SL Mitchell, SBG O’Brien
Applied Mathematics and Computation 219 (1), 376-388, 2012
312012
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