Year  Publication  

2006  'Application of Box Schemes to Groundwater Flow Problems'
Mitchell, SL; Morton, KW; Spence, A (2006) 'Application of Box Schemes to Groundwater Flow Problems'. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 4 :12021225 [Details] 

2007  'A cubic heat balance integral method for onedimensional melting of a finite thickness layer'
Myers, TG; Mitchell, SL; Muchatibaya, G; Myers, MY (2007) 'A cubic heat balance integral method for onedimensional melting of a finite thickness layer'. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 50 (2526):53075315 [Details] 

2007  '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'. JOURNAL OF APPLIED MECHANICS, 74 :365372 [Details] 

2007  'An asymptotic framework for finite hydraulic fractures including leakoff'
Mitchell, SL; Kuske, R; Peirce, AP (2007) 'An asymptotic framework for finite hydraulic fractures including leakoff'. S.I.A.M. JOURNAL OF APPLIED MATHEMATICS, 67 (2):364386 [Details] 

2008  'Heat balance integral method for onedimensional finite ablation'
Mitchell, SL; Myers, TG (2008) 'Heat balance integral method for onedimensional finite ablation'. JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 22 (3):508514 [DOI] [Details] 

2008  'Unsteady contact melting of a rectangular crosssection phase change material'
Myers,TG; Mitchell, SL; Muchatibaya, G; Myers, TG; Mitchell, SL; Muchatibaya, G (2008) 'Unsteady contact melting of a rectangular crosssection phase change material'. PHYSICS OF FLUIDS, 20 (10) [Details] 

2008  'Approximate solution methods for onedimensional solidification from an incoming fluid'
Mitchell, SL; Myers, TG (2008) 'Approximate solution methods for onedimensional solidification from an incoming fluid'. APPLIED MATHEMATICS AND COMPUTATION, 202 (1):311326 [DOI] [Details] 

2008  'Unsteady contact melting of a rectangular crosssection material on a flat plate'
Myers, TG; Mitchell, SL; Muchatibaya, G (2008) 'Unsteady contact melting of a rectangular crosssection material on a flat plate'. PHYSICS OF FLUIDS, 20 (10) [DOI] [Details] 

2009  'APPLICATION OF THE HEATBALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEGDE VRIES EQUATION'
Myers, TG; Mitchell, SL (2009) 'APPLICATION OF THE HEATBALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEGDE VRIES EQUATION'. THERMAL SCIENCE, 13 (2):113119 [DOI] [Details] 

2009  'Finitedifference methods with increased accuracy and correct initialization for onedimensional Stefan problems'
Mitchell, SL; Vynnycky, M (2009) 'Finitedifference methods with increased accuracy and correct initialization for onedimensional Stefan problems'. APPLIED MATHEMATICS AND COMPUTATION, 215 (4):16091621 [DOI] [Details] 

2010  'Application of Standard and Refined Heat Balance Integral Methods to OneDimensional Stefan Problems'
Mitchell, SL; Myers, TG (2010) 'Application of Standard and Refined Heat Balance Integral Methods to OneDimensional Stefan Problems'. SIAM REVIEW, 52 (1):5786 [DOI] [Details] 

2010  'Evaporative cooling and the Mpemba effect'
Vynnycky, M; Mitchell, SL (2010) 'Evaporative cooling and the Mpemba effect'. HEAT AND MASS TRANSFER, 46 (89):881890 [DOI] [Details] 

2010  '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'. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 53 (1718):35403551 [DOI] [Details] 

2011  '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'. APPLIED MATHEMATICS AND COMPUTATION, 217 (22):92199233 [DOI] [Details] 

2011  'Application of the combined integral method to Stefan problems'
Myers, TG; Mitchell, SL (2011) 'Application of the combined integral method to Stefan problems'. APPLIED MATHEMATICAL MODELLING, 35 (9):42814294 [DOI] [Details] 

2011  'AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION'
Mitchell, SL (2011) 'AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION'. Numerical Heat Transfer Part BFundamentals, 60 :3456 [DOI] [Details] 

2012  'Energy conservation in the onephase supercooled Stefan problem'
Myers, TG,Mitchell, SL,Font, F (2012) 'Energy conservation in the onephase supercooled Stefan problem'. International Communications In Heat And Mass Transfer, 39 :15221525 [DOI] [Details] 

2012  'An accurate finitedifference method for ablationtype Stefan problems'
Mitchell, SL,Vynnycky, M (2012) 'An accurate finitedifference method for ablationtype Stefan problems'. Journal Of Computational And Applied Mathematics, 236 :41814192 [DOI] [Details] 

2012  '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'. Applied Mathematics And Computation, :376388 [DOI] [Details] 

2012  'Applying the combined integral method to onedimensional ablation'
Mitchell, SL (2012) 'Applying the combined integral method to onedimensional ablation'. Applied Mathematical Modelling, 36 :127138 [DOI] [Details] 

2013  'ON THE ACCURACY OF A FINITEDIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS'
Vynnycky, M,Mitchell, SL (2013) 'ON THE ACCURACY OF A FINITEDIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS'. Numerical Heat Transfer Part BFundamentals, 64 :275292 [DOI] [Details] 

2013  'Onedimensional solidification of supercooled melts'
Font, F,Mitchell, SL,Myers, TG (2013) 'Onedimensional solidification of supercooled melts'. International Journal Of Heat And Mass Transfer, 62 :411421 [DOI] [Details] 

2014  'Analysis and simplification of a mathematical model for highpressure food processes'
Smith, NAS,Mitchell, SL,Ramos, AM (2014) 'Analysis and simplification of a mathematical model for highpressure food processes'. Applied Mathematics And Computation, 226 :2037 [DOI] [Details] 

2014  'Reaction front formation in contaminant plumes'
Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC (2014) 'Reaction front formation in contaminant plumes'. Journal Of Contaminant Hydrology, 171 :1221 [DOI] [Details] 

2014  'On the numerical solution of twophase Stefan problems with heatflux boundary conditions'
Mitchell, SL,Vynnycky, M (2014) 'On the numerical solution of twophase Stefan problems with heatflux boundary conditions'. Journal Of Computational And Applied Mathematics, 264 :4964 [DOI] [Details] 

2014  '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'. Siam Journal On Applied Mathematics, 74 :697723 [DOI] [Details] 

2014  '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'. Applied Mathematical Modelling, 38 :43964408 [DOI] [Details] 

2015  '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'. Journal Of Glaciology, 61 :825836 [DOI] [Details] 

2015  'Mouldtaper asymptotics and air gap formation in continuous casting'
Florio, BJ,Vynnycky, M,Mitchell, SL,O'Brien, SBG (2015) 'Mouldtaper asymptotics and air gap formation in continuous casting'. Applied Mathematics And Computation, 268 :11221139 [DOI] [Details] 

2015  'The oxygen diffusion problem: Analysis and numerical solution'
Mitchell, SL,Vynnycky, M (2015) 'The oxygen diffusion problem: Analysis and numerical solution'. Applied Mathematical Modelling, 39 :27632776 [DOI] [Details] 

2015  'Applying the combined integral method to twophase Stefan problems with delayed onset of phase change'
Mitchell, SL (2015) 'Applying the combined integral method to twophase Stefan problems with delayed onset of phase change'. Journal Of Computational And Applied Mathematics, 281 :5873 [DOI] [Details] 

2015  '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'. Journal Of Computational And Applied Mathematics, 276 :98109 [DOI] [Details] 

2015  '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'. Microfluidics And Nanofluidics, 18 :233243 [DOI] [Details] 

2016  'On the accurate numerical solution of a twophase Stefan problem with phase formation and depletion'
Mitchell, SL,Vynnycky, M (2016) 'On the accurate numerical solution of a twophase Stefan problem with phase formation and depletion'. Journal Of Computational And Applied Mathematics, 300 :259274 [DOI] [Details] 
Year  Publication  

2005  Hydraulic Fracturing Summit V
Mitchell, S.L., Kuske, R., Peirce, A.P. (2005) An asymptotic analysis of a fingerlike fluiddriven fracture Hydraulic Fracturing Summit V , 25MAY05  28MAY05 [Details] 

2006  SIAM Annual Meeting
Mitchell, S.L., Kuske, R., Peirce, A.P. (2006) An asymptotic framework for finite hydraulic fractures driven by multiple physical processes SIAM Annual Meeting , 10JUL06  14JUL06 [Details] 

2007  SANUM, 2007
Mitchell, S.L. and Myers, T.G. (2007) A cubic heat balance integral method for onedimensional melting of a finite thickness layer SANUM, 2007 , 02APR07  04APR07 [Details] 

2008  Hydraulic Fracturing Summit VIII
Mitchell, S.L., Kuske, R., Peirce, A.P. (2008) An asymptotic analysis of a fingerlike fluiddriven fracture Hydraulic Fracturing Summit VIII , 22MAY08  26MAY08 [Details] 

2008  ECMI 2008
Mitchell, S.L. and Myers, T.G. (2008) Approximate solution methods for onedimensional solidification from an incoming fluid ECMI 2008 , 30JUN08  04JUL08 [Details] 

2009  NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Mitchell, SL; Myers, TG (2009) Applying the Combined Integral Method to OneDimensional Ablation NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 , pp.14501452 [Details] 

2009  AIP Conference Proceedings
Mitchell S.L., Myers T.G. (2009) Applying the combined integral method to onedimensional ablation AIP Conference Proceedings , pp.14501452 [DOI] [Details] 
Year  Publication  

2007  The laminarturbulent transition of yield stress fluids in large pipes.
Mitchell, SL; Myers, TG (2007) The laminarturbulent transition of yield stress fluids in large pipes. Conference Presentation [Details] 