Prof. Sarah Mitchell

Mitchell, SL,Vynnycky, M (2016) On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion. Journal Of Computational And Applied Mathematics :259-274

Mitchell, SL (2015) Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change. Journal Of Computational And Applied Mathematics :58-73

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 :825-836

Font, F,Myers, TG,Mitchell, SL (2015) A mathematical model for nanoparticle melting with density change. Microfluidics And Nanofluidics :233-243

Florio, BJ,Vynnycky, M,Mitchell, SL,O'Brien, SBG (2015) Mould-taper asymptotics and air gap formation in continuous casting. Applied Mathematics And Computation :1122-1139

Mitchell, SL,Vynnycky, M (2015) The oxygen diffusion problem: Analysis and numerical solution. Applied Mathematical Modelling :2763-2776

Vynnycky, M,Mitchell, SL (2015) On the numerical solution of a Stefan problem with finite extinction time. Journal Of Computational And Applied Mathematics :98-109

Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC (2014) Reaction front formation in contaminant plumes. Journal Of Contaminant Hydrology :12-21

Smith, NAS,Mitchell, SL,Ramos, AM (2014) Analysis and simplification of a mathematical model for high-pressure food processes. Applied Mathematics And Computation :20-37

Mitchell, SL (2014) An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue. Applied Mathematical Modelling :4396-4408

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 :697-723

Mitchell, SL,Vynnycky, M (2014) On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions. Journal Of Computational And Applied Mathematics :49-64

Font, F,Mitchell, SL,Myers, TG (2013) One-dimensional solidification of supercooled melts. International Journal Of Heat And Mass Transfer :411-421

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

Mitchell, SL,Vynnycky, M (2012) An accurate finite-difference method for ablation-type Stefan problems. Journal Of Computational And Applied Mathematics :4181-4192

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 :376-388

Myers, TG,Mitchell, SL,Font, F (2012) Energy conservation in the one-phase supercooled Stefan problem. International Communications In Heat And Mass Transfer :1522-1525

Mitchell, SL (2012) Applying the combined integral method to one-dimensional ablation. Applied Mathematical Modelling :127-138

Myers, TG; Mitchell, SL (2011) Application of the combined integral method to Stefan problems. Applied Mathematical Modelling :4281-4294

Mitchell, SL (2011) AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION. Numerical Heat Transfer Part B-Fundamentals :34-56

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 :9219-9233

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 :3540-3551

Vynnycky, M; Mitchell, SL (2010) Evaporative cooling and the Mpemba effect. Heat And Mass Transfer :881-890

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

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

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

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

Myers, TG; Mitchell, SL; Muchatibaya, G (2008) Unsteady contact melting of a rectangular cross-section material on a flat plate. Physics Of Fluids

Mitchell, SL; Myers, TG (2008) Approximate solution methods for one-dimensional solidification from an incoming fluid. Applied Mathematics And Computation :311-326

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

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

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

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

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