Michael Vynnycky

34 papers Journal 34
YearRankTypeTitle / Venue / Authors
2026 J jnl
Finite dissolution-rate drug release: From a continuous-field description to a moving-boundary problem.
J. Comput. Appl. Math.
M. Ibrahim, Kevin M. Moroney, Michael Vynnycky
2025 J jnl
A Posteriori Error Estimates for the Crank-Nicolson Method: Application to Parabolic Partial Differential Equations Subject to a Robin Boundary Condition with Small Randomness.
J. Sci. Comput.
N. Shravani, G. Murali Mohan Reddy, Michael Vynnycky
2025 J jnl
Analysis of a Model for Polymorphism in Gravity-Driven, Antisolvent Crystallization.
SIAM J. Appl. Math.
Milton Assunção, Kevin M. Moroney, Doireann O'Kiely, Michael Vynnycky
2023 J jnl
A reaction-diffusion system arising from electrochemistry.
J. Comput. Appl. Math.
Leslaw K. Bieniasz, Sean McKee, Michael Vynnycky
2023 J jnl
An Asymptotic Model for Gas-Solid Flow in a Countercurrent Moving Bed Reactor.
SIAM J. Appl. Math.
Michael Vynnycky, Bharath V. Rangavittal, Björn Glaser
2023 J jnl
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.
Sarah L. Mitchell, Michael Vynnycky
2023 J jnl
On boundary immobilization for one-dimensional Stefan-type problems with a moving boundary having initially parabolic-logarithmic behaviour.
Appl. Math. Comput.
Michael Vynnycky
2022 J jnl
Fast computation of the Lorentz force induced by longitudinal electromagnetic stirring.
J. Comput. Appl. Math.
Michael Vynnycky, A. S. Nick, Milton Assunção
2022 J jnl
Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: A phase-wise approach.
Comput. Math. Appl.
P. Nanda, G. Murali Mohan Reddy, Michael Vynnycky
2022 J jnl
On A Transient Nonlinear One-Dimensional Reaction-Diffusion Equation with A Point-Source Initial Condition.
SIAM J. Appl. Math.
Michael Vynnycky, Sean McKee
2021 J jnl
A NonLinear Transient Reaction-Diffusion Problem from Electroanalytical Chemistry.
SIAM J. Appl. Math.
Michael Vynnycky, Sean McKee, Leslaw K. Bieniasz
2021 J jnl
An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions.
Appl. Math. Comput.
Sarah L. Mitchell, Michael Vynnycky
2021 J jnl
An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy-Stefan problem.
Comput. Appl. Math.
G. Murali Mohan Reddy, P. Nanda, Michael Vynnycky, José Alberto Cuminato
2021 J jnl
Efficient numerical solution of boundary identification problems: MFS with adaptive stochastic optimization.
Appl. Math. Comput.
G. Murali Mohan Reddy, P. Nanda, Michael Vynnycky, José Alberto Cuminato
2020 J jnl
A Compact FEM Implementation for Parabolic Integro-Differential Equations in 2D.
Algorithms
G. Murali Mohan Reddy, Alan B. Seitenfuss, Débora de Oliveira Medeiros, Luca Meacci, Milton de Oliveira Assunção Jr., Michael Vynnycky
2019 J jnl
An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem.
J. Comput. Appl. Math.
G. Murali Mohan Reddy, Michael Vynnycky, José Alberto Cuminato
2019 J jnl
An elementary diffusion problem, Laplace transforms and novel mathematical identities.
J. Comput. Appl. Math.
Sean McKee, Michael Vynnycky, José Alberto Cuminato
2019 J jnl
The Vanadium Redox Flow Battery: an Asymptotic Perspective.
SIAM J. Appl. Math.
Michael Vynnycky, Milton de Oliveira Assunção Jr.
2016 J jnl
A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows.
J. Comput. Phys.
Murilo F. Tomé, Juliana Bertoco, Cassio M. Oishi, Manoel Silvino Batalha de Araújo, Daniel Onofre de Almeida Cruz, Fernando Pinho, Michael Vynnycky
2016 J jnl
On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion.
J. Comput. Appl. Math.
Sarah L. Mitchell, Michael Vynnycky
2015 J jnl
Boundary Layers in Pressure-driven Flow in Smectic A Liquid Crystals.
SIAM J. Appl. Math.
Iain W. Stewart, Michael Vynnycky, Sean McKee, Murilo F. Tomé
2015 J jnl
Mathematical Analysis of the Multisolution Phenomenon in the P3P Problem.
J. Math. Imaging Vis.
Michael Vynnycky, Kamen Kanev
2015 J jnl
Mould-taper asymptotics and air gap formation in continuous casting.
Appl. Math. Comput.
Brendan Florio, Michael Vynnycky, Sarah L. Mitchell, Stephen B. G. O'Brien
2015 J jnl
On the numerical solution of a Stefan problem with finite extinction time.
J. Comput. Appl. Math.
Michael Vynnycky, Sarah L. Mitchell
2015 J jnl
Towards computationally-efficient modeling of transport phenomena in three-dimensional monolithic channels.
Appl. Math. Comput.
A. K. Sharma, Erik Birgersson, Michael Vynnycky
2014 J jnl
On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions.
J. Comput. Appl. Math.
Sarah L. Mitchell, Michael Vynnycky
2014 J jnl
The slow, steady ascent of a hot solid sphere in a Newtonian fluid with strongly temperature-dependent viscosity.
Appl. Math. Comput.
Michael Vynnycky, M. A. O'Brien
2012 J jnl
An accurate finite-difference method for ablation-type Stefan problems.
J. Comput. Appl. Math.
Sarah L. Mitchell, Michael Vynnycky
2012 J jnl
An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity.
Appl. Math. Comput.
Michael Vynnycky, M. A. O'Brien
2011 J jnl
An accurate numerical solution for the transient heating of an evaporating spherical droplet.
Appl. Math. Comput.
Sarah L. Mitchell, Michael Vynnycky, I. G. Gusev, Sergei S. Sazhin
2009 J jnl
Asymptotic Reduction for Numerical Modeling of Polymer Electrolyte Fuel Cells.
SIAM J. Appl. Math.
Michael Vynnycky, G. Shugai, P. Yakubenko, N. Mellgren
2009 J jnl
Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems.
Appl. Math. Comput.
Sarah L. Mitchell, Michael Vynnycky
2007 J jnl
On the modelling of two-phase flow in the cathode gas diffusion layer of a polymer electrolyte fuel cell.
Appl. Math. Comput.
Michael Vynnycky
2003 J jnl
Analysis of a Model for Multicomponent Mass Transfer in the Cathode of a Polymer Electrolyte Fuel Cell.
SIAM J. Appl. Math.
Erik Birgersson, Michael Vynnycky