Analysis of Box Schemes for Reactive Flow Problems. - Sarah L. Mitchell; K. W. Morton; Alastair Spence (SIAM J. Sci. Comput., 2006)

An Asymptotic Framework for Finite Hydraulic Fractures Including Leak-Off. - Sarah L. Mitchell; Rachel Kuske; A. P. Peirce (SIAM J. Appl. Math., 2007)

Approximate solution methods for one-dimensional solidification from an incoming fluid. - Sarah L. Mitchell; Timothy G. Myers 002 (Appl. Math. Comput., 2008)

Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. - Sarah L. Mitchell; Michael Vynnycky (Appl. Math. Comput., 2009)

Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems. - Sarah L. Mitchell; Timothy G. Myers 002 (SIAM Rev., 2010)

An accurate numerical solution for the transient heating of an evaporating spherical droplet. - Sarah L. Mitchell; Michael Vynnycky; I. G. Gusev; Sergei S. Sazhin (Appl. Math. Comput., 2011)

Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers. - Sarah L. Mitchell; Stephen B. G. O'Brien (Appl. Math. Comput., 2012)

An accurate finite-difference method for ablation-type Stefan problems. - Sarah L. Mitchell; Michael Vynnycky (J. Comput. Appl. Math., 2012)

Analysis and simplification of a mathematical model for high-pressure food processes. - Nadia A. S. Smith; Sarah L. Mitchell; Angel Manuel Ramos (Appl. Math. Comput., 2014)

On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions. - Sarah L. Mitchell; Michael Vynnycky (J. Comput. Appl. Math., 2014)

Asymptotic and Numerical Solutions of a Free Boundary Problem for the Sorption of a Finite Amount of Solvent into a Glassy Polymer. - Sarah L. Mitchell; Stephen B. G. O'Brien (SIAM J. Appl. Math., 2014)

Mould-taper asymptotics and air gap formation in continuous casting. - Brendan Florio; Michael Vynnycky; Sarah L. Mitchell; Stephen B. G. O'Brien (Appl. Math. Comput., 2015)

Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change. - Sarah L. Mitchell (J. Comput. Appl. Math., 2015)

On the numerical solution of a Stefan problem with finite extinction time. - Michael Vynnycky; Sarah L. Mitchell (J. Comput. Appl. Math., 2015)

On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion. - Sarah L. Mitchell; Michael Vynnycky (J. Comput. Appl. Math., 2016)

An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions. - Sarah L. Mitchell; Michael Vynnycky (Appl. Math. Comput., 2021)

Corrigendum to 'An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions' [Applied Mathematics and Computation 400 (2021) 125979]. - Sarah L. Mitchell; Michael Vynnycky (Appl. Math. Comput., 2023)