Dr. Sarah Mitchell

On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion
Mitchell, SL,Vynnycky, M
(2016) On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion
In Journal Of Computational And Applied Mathematics; pp. 259-274
DOI: 10.1016/j.cam.2015.12.021

A mathematical model for nanoparticle melting with density change
Font, F,Myers, TG,Mitchell, SL
(2015) A mathematical model for nanoparticle melting with density change
In Microfluidics And Nanofluidics; pp. 233-243
DOI: 10.1007/s10404-014-1423-x

The oxygen diffusion problem: Analysis and numerical solution
Mitchell, SL,Vynnycky, M
(2015) The oxygen diffusion problem: Analysis and numerical solution
In Applied Mathematical Modelling; pp. 2763-2776
DOI: 10.1016/j.apm.2014.10.068

Mould-taper asymptotics and air gap formation in continuous casting
Florio, BJ,Vynnycky, M,Mitchell, SL,O'Brien, SBG
(2015) Mould-taper asymptotics and air gap formation in continuous casting
In Applied Mathematics And Computation; pp. 1122-1139
DOI: 10.1016/j.amc.2015.07.011

Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change
Mitchell, SL
(2015) Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change
In Journal Of Computational And Applied Mathematics; pp. 58-73
DOI: 10.1016/j.cam.2014.11.051

On the numerical solution of a Stefan problem with finite extinction time
Vynnycky, M,Mitchell, SL
(2015) On the numerical solution of a Stefan problem with finite extinction time
In Journal Of Computational And Applied Mathematics; pp. 98-109
DOI: 10.1016/j.cam.2014.08.023

Glacial melt under a porous debris layer
Evatt, GW,Abrahams, ID,Heil, M,Mayer, C,Kingslake, J,Mitchell, SL,Fowler, AC,Clark, CD
(2015) Glacial melt under a porous debris layer
In Journal Of Glaciology; pp. 825-836
DOI: 10.3189/2015Jo14J235

An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue
Mitchell, SL
(2014) An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue
In Applied Mathematical Modelling; pp. 4396-4408
DOI: 10.1016/j.apm.2014.02.021

ASYMPTOTIC AND NUMERICAL SOLUTIONS OF A FREE BOUNDARY PROBLEM FOR THE SORPTION OF A FINITE AMOUNT OF SOLVENT INTO A GLASSY POLYMER
Mitchell, SL,O'Brien, SBG
(2014) ASYMPTOTIC AND NUMERICAL SOLUTIONS OF A FREE BOUNDARY PROBLEM FOR THE SORPTION OF A FINITE AMOUNT OF SOLVENT INTO A GLASSY POLYMER
In Siam Journal On Applied Mathematics; pp. 697-723
DOI: 10.1137/120899200

Analysis and simplification of a mathematical model for high-pressure food processes
Smith, NAS,Mitchell, SL,Ramos, AM
(2014) Analysis and simplification of a mathematical model for high-pressure food processes
In Applied Mathematics And Computation; pp. 20-37
DOI: 10.1016/j.amc.2013.10.030

On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
Mitchell, SL,Vynnycky, M
(2014) On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
In Journal Of Computational And Applied Mathematics; pp. 49-64
DOI: 10.1016/j.cam.2014.01.003

Reaction front formation in contaminant plumes
Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC
(2014) Reaction front formation in contaminant plumes
In Journal Of Contaminant Hydrology; pp. 12-21
DOI: 10.1016/j.jconhyd.2014.10.006

One-dimensional solidification of supercooled melts
Font, F,Mitchell, SL,Myers, TG
(2013) One-dimensional solidification of supercooled melts
In International Journal Of Heat And Mass Transfer; pp. 411-421
DOI: 10.1016/j.ijheatmasstransfer.2013.02.070

ON THE ACCURACY OF A FINITE-DIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS
Vynnycky, M,Mitchell, SL
(2013) ON THE ACCURACY OF A FINITE-DIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS
In Numerical Heat Transfer Part B-Fundamentals; pp. 275-292
DOI: 10.1080/10407790.2013.797312

Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers
Mitchell, SL,O'Brien, SBG
(2012) Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers
In Applied Mathematics And Computation; pp. 376-388
DOI: 10.1016/j.amc.2012.06.026

Energy conservation in the one-phase supercooled Stefan problem
Myers, TG,Mitchell, SL,Font, F
(2012) Energy conservation in the one-phase supercooled Stefan problem
In International Communications In Heat And Mass Transfer; pp. 1522-1525
DOI: 10.1016/j.icheatmasstransfer.2012.09.005

Applying the combined integral method to one-dimensional ablation
Mitchell, SL
(2012) Applying the combined integral method to one-dimensional ablation
In Applied Mathematical Modelling; pp. 127-138
DOI: 10.1016/j.apm.2011.05.032

An accurate finite-difference method for ablation-type Stefan problems
Mitchell, SL,Vynnycky, M
(2012) An accurate finite-difference method for ablation-type Stefan problems
In Journal Of Computational And Applied Mathematics; pp. 4181-4192
DOI: 10.1016/j.cam.2012.05.011

AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION
Mitchell, SL
(2011) AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION
In Numerical Heat Transfer Part B-Fundamentals; pp. 34-56
DOI: 10.1080/10407790.2011.588133

Application of the combined integral method to Stefan problems
Myers, TG; Mitchell, SL
(2011) Application of the combined integral method to Stefan problems
In Applied Mathematical Modelling; pp. 4281-4294
DOI: 10.1016/j.apm.2011.02.049

An accurate numerical solution for the transient heating of an evaporating spherical droplet
Mitchell, SL; Vynnycky, M; Gusev, IG; Sazhin, SS
(2011) An accurate numerical solution for the transient heating of an evaporating spherical droplet
In Applied Mathematics And Computation; pp. 9219-9233
DOI: 10.1016/j.amc.2011.03.161

Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
Mitchell, SL; Myers, TG
(2010) Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
In Siam Review; pp. 57-86
DOI: 10.1137/080733036

Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions
Mitchell, SL; Myers, TG
(2010) Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions
In International Journal Of Heat And Mass Transfer; pp. 3540-3551
DOI: 10.1016/j.ijheatmasstransfer.2010.04.015

Evaporative cooling and the Mpemba effect
Vynnycky, M; Mitchell, SL
(2010) Evaporative cooling and the Mpemba effect
In Heat And Mass Transfer; pp. 881-890
DOI: 10.1007/s00231-010-0637-z

Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
Mitchell, SL; Vynnycky, M
(2009) Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
In Applied Mathematics And Computation; pp. 1609-1621
DOI: 10.1016/j.amc.2009.07.054

APPLICATION OF THE HEAT-BALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEG-DE VRIES EQUATION
Myers, TG; Mitchell, SL
(2009) APPLICATION OF THE HEAT-BALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEG-DE VRIES EQUATION
In Thermal Science; pp. 113-119
DOI: 10.2298/TSCI0902113M

Unsteady contact melting of a rectangular cross-section phase change material
Myers,TG; Mitchell, SL; Muchatibaya, G; Myers, TG; Mitchell, SL; Muchatibaya, G
(2008) Unsteady contact melting of a rectangular cross-section phase change material
In Physics Of Fluids;

Approximate solution methods for one-dimensional solidification from an incoming fluid
Mitchell, SL; Myers, TG
(2008) Approximate solution methods for one-dimensional solidification from an incoming fluid
In Applied Mathematics And Computation; pp. 311-326
DOI: 10.1016/j.amc.2008.02.031

Heat balance integral method for one-dimensional finite ablation
Mitchell, SL; Myers, TG
(2008) Heat balance integral method for one-dimensional finite ablation
In Journal Of Thermophysics And Heat Transfer; pp. 508-514
DOI: 10.2514/1.31755

Unsteady contact melting of a rectangular cross-section material on a flat plate
Myers, TG; Mitchell, SL; Muchatibaya, G
(2008) Unsteady contact melting of a rectangular cross-section material on a flat plate
In Physics Of Fluids;
DOI: 10.1063/1.2990751

An asymptotic framework for the analysis of hydraulic fractures: the impermeable case
Mitchell, SL , Kuske, R , Peirce, AP
(2007) An asymptotic framework for the analysis of hydraulic fractures: the impermeable case
In Journal Of Applied Mechanics; pp. 365-372

A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
Myers, TG; Mitchell, SL; Muchatibaya, G; Myers, MY
(2007) A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
In International Journal Of Heat And Mass Transfer; pp. 5307-5315

An asymptotic framework for finite hydraulic fractures including leak-off
Mitchell, SL; Kuske, R; Peirce, AP
(2007) An asymptotic framework for finite hydraulic fractures including leak-off
In S.I.A.M. Journal Of Applied Mathematics; pp. 364-386

Application of Box Schemes to Groundwater Flow Problems
Mitchell, SL; Morton, KW; Spence, A
(2006) Application of Box Schemes to Groundwater Flow Problems
In Siam Journal On Scientific Computing; pp. 1202-1225