Sarah L. Mitchell

Publication Activity (10 Years)

Years Active: 2006-2023
Publications (10 Years): 6

Top Topics

Numerical Solution

Color Image Processing

Finite Difference

Differential Equations

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

SIAM J. Appl. Math.

Publications

Sarah L. Mitchell, Michael Vynnycky
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]. Appl. Math. Comput. 442 (2023)
Sarah L. Mitchell, Michael Vynnycky
An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions. Appl. Math. Comput. 400 (2021)
Sarah L. Mitchell, Michael Vynnycky
On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion. J. Comput. Appl. Math. 300 (2016)
B. J. Florio, Michael Vynnycky, Sarah L. Mitchell, S. B. G. O'Brien
Mould-taper asymptotics and air gap formation in continuous casting. Appl. Math. Comput. 268 (2015)
Michael Vynnycky, Sarah L. Mitchell
On the numerical solution of a Stefan problem with finite extinction time. J. Comput. Appl. Math. 276 (2015)
Sarah L. Mitchell
Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change. J. Comput. Appl. Math. 281 (2015)
Sarah L. Mitchell, S. B. G. O'Brien
Asymptotic and Numerical Solutions of a Free Boundary Problem for the Sorption of a Finite Amount of Solvent into a Glassy Polymer. SIAM J. Appl. Math. 74 (3) (2014)
N. A. S. Smith, Sarah L. Mitchell, Angel Manuel Ramos
Analysis and simplification of a mathematical model for high-pressure food processes. Appl. Math. Comput. 226 (2014)
Sarah L. Mitchell, Michael Vynnycky
On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions. J. Comput. Appl. Math. 264 (2014)
Sarah L. Mitchell, Michael Vynnycky
An accurate finite-difference method for ablation-type Stefan problems. J. Comput. Appl. Math. 236 (17) (2012)
Sarah L. Mitchell, S. B. G. O'Brien
Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers. Appl. Math. Comput. 219 (1) (2012)
Sarah L. Mitchell, Michael Vynnycky, I. G. Gusev, Sergei S. Sazhin
An accurate numerical solution for the transient heating of an evaporating spherical droplet. Appl. Math. Comput. 217 (22) (2011)
Sarah L. Mitchell, Timothy G. Myers
Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems. SIAM Rev. 52 (1) (2010)
Sarah L. Mitchell, Michael Vynnycky
Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. Appl. Math. Comput. 215 (4) (2009)
Sarah L. Mitchell, Timothy G. Myers
Approximate solution methods for one-dimensional solidification from an incoming fluid. Appl. Math. Comput. 202 (1) (2008)
Sarah L. Mitchell, Rachel Kuske, A. P. Peirce
An Asymptotic Framework for Finite Hydraulic Fractures Including Leak-Off. SIAM J. Appl. Math. 67 (2) (2007)
Sarah L. Mitchell, K. W. Morton, Alastair Spence
Analysis of Box Schemes for Reactive Flow Problems. SIAM J. Sci. Comput. 27 (4) (2006)