Analysis of a Model for Multicomponent Mass Transfer in the Cathode of a Polymer Electrolyte Fuel Cell. - Erik Birgersson; Michael Vynnycky (SIAM J. Appl. Math., 2003)

On the modelling of two-phase flow in the cathode gas diffusion layer of a polymer electrolyte fuel cell. - Michael Vynnycky (Appl. Math. Comput., 2007)

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

Asymptotic Reduction for Numerical Modeling of Polymer Electrolyte Fuel Cells. - Michael Vynnycky; G. Shugai; P. Yakubenko; N. Mellgren (SIAM J. Appl. Math., 2009)

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)

An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity. - Michael Vynnycky; M. A. 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)

The slow, steady ascent of a hot solid sphere in a Newtonian fluid with strongly temperature-dependent viscosity. - Michael Vynnycky; M. A. O'Brien (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)

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)

Towards computationally-efficient modeling of transport phenomena in three-dimensional monolithic channels. - A. K. Sharma 002; Erik Birgersson; Michael Vynnycky (Appl. Math. Comput., 2015)

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

Mathematical Analysis of the Multisolution Phenomenon in the P3P Problem. - Michael Vynnycky; Kamen Kanev (J. Math. Imaging Vis., 2015)

Boundary Layers in Pressure-driven Flow in Smectic A Liquid Crystals. - Iain W. Stewart; Michael Vynnycky; Sean McKee; Murilo F. Tomé (SIAM J. 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)

A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows. - Murilo F. Tomé; Juliana Bertoco; Cassio M. Oishi; Manoel Silvino Batalha de Araújo; Daniel Onofre de Almeida Cruz; Fernando Pinho; Michael Vynnycky (J. Comput. Phys., 2016)

An elementary diffusion problem, Laplace transforms and novel mathematical identities. - Sean McKee; Michael Vynnycky; José Alberto Cuminato (J. Comput. Appl. Math., 2019)

An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem. - G. Murali Mohan Reddy; Michael Vynnycky; José Alberto Cuminato (J. Comput. Appl. Math., 2019)

The Vanadium Redox Flow Battery: an Asymptotic Perspective. - Michael Vynnycky; Milton de Oliveira Assunção Jr. (SIAM J. Appl. Math., 2019)

A Compact FEM Implementation for Parabolic Integro-Differential Equations in 2D. - G. Murali Mohan Reddy; Alan B. Seitenfuss; Débora de Oliveira Medeiros; Luca Meacci; Milton de Oliveira Assunção Jr.; Michael Vynnycky (Algorithms, 2020)

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)

Efficient numerical solution of boundary identification problems: MFS with adaptive stochastic optimization. - G. Murali Mohan Reddy; P. Nanda; Michael Vynnycky; José Alberto Cuminato (Appl. Math. Comput., 2021)

An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy-Stefan problem. - G. Murali Mohan Reddy; P. Nanda; Michael Vynnycky; José Alberto Cuminato (Comput. Appl. Math., 2021)

A NonLinear Transient Reaction-Diffusion Problem from Electroanalytical Chemistry. - Michael Vynnycky; Sean McKee; Leslaw K. Bieniasz (SIAM J. Appl. Math., 2021)

Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: A phase-wise approach. - P. Nanda; G. Murali Mohan Reddy; Michael Vynnycky (Comput. Math. Appl., 2022)

Fast computation of the Lorentz force induced by longitudinal electromagnetic stirring. - Michael Vynnycky; A. S. Nick; Milton Assunção (J. Comput. Appl. Math., 2022)

On A Transient Nonlinear One-Dimensional Reaction-Diffusion Equation with A Point-Source Initial Condition. - Michael Vynnycky; Sean McKee (SIAM J. Appl. Math., 2022)

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)

A reaction-diffusion system arising from electrochemistry. - Leslaw K. Bieniasz; Sean McKee; Michael Vynnycky (J. Comput. Appl. Math., 2023)

An Asymptotic Model for Gas-Solid Flow in a Countercurrent Moving Bed Reactor. - Michael Vynnycky; Bharath V. Rangavittal; Björn Glaser (SIAM J. Appl. Math., 2023)

On boundary immobilization for one-dimensional Stefan-type problems with a moving boundary having initially parabolic-logarithmic behaviour. - Michael Vynnycky (Appl. Math. Comput., 2023)

Analysis of a Model for Polymorphism in Gravity-Driven, Antisolvent Crystallization. - Milton Assunção; Kevin M. Moroney; Doireann O'Kiely; Michael Vynnycky (SIAM J. Appl. Math., 2025)

A Posteriori Error Estimates for the Crank-Nicolson Method: Application to Parabolic Partial Differential Equations Subject to a Robin Boundary Condition with Small Randomness. - N. Shravani; G. Murali Mohan Reddy; Michael Vynnycky (J. Sci. Comput., 2025)

Finite dissolution-rate drug release: From a continuous-field description to a moving-boundary problem. - M. Ibrahim; Kevin M. Moroney; Michael Vynnycky (J. Comput. Appl. Math., 2026)