Michael Vynnycky

Publication Activity (10 Years)

Years Active: 2003-2023
Publications (10 Years): 17

Top Topics

Color Image Processing

Boundary Conditions

Differential Equations

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

SIAM J. Appl. Math.

J. Comput. Phys.

Publications

Michael Vynnycky, Bharath V. Rangavittal, Björn Glaser
An Asymptotic Model for Gas-Solid Flow in a Countercurrent Moving Bed Reactor. SIAM J. Appl. Math. 83 (2) (2023)
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)
Michael Vynnycky
On boundary immobilization for one-dimensional Stefan-type problems with a moving boundary having initially parabolic-logarithmic behaviour. Appl. Math. Comput. 444 (2023)
Leslaw K. Bieniasz, Sean McKee, Michael Vynnycky
A reaction-diffusion system arising from electrochemistry. J. Comput. Appl. Math. 423 (2023)
P. Nanda, G. Murali Mohan Reddy, Michael Vynnycky
Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: A phase-wise approach. Comput. Math. Appl. 123 (2022)
Michael Vynnycky, A. S. Nick, Milton Assunção
Fast computation of the Lorentz force induced by longitudinal electromagnetic stirring. J. Comput. Appl. Math. 416 (2022)
Michael Vynnycky, Sean McKee
On A Transient Nonlinear One-Dimensional Reaction-Diffusion Equation with A Point-Source Initial Condition. SIAM J. Appl. Math. 82 (2) (2022)
G. Murali Mohan Reddy, P. Nanda, Michael Vynnycky, José Alberto Cuminato
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. 40 (3) (2021)
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)
Michael Vynnycky, Sean McKee, Leslaw K. Bieniasz
A NonLinear Transient Reaction-Diffusion Problem from Electroanalytical Chemistry. SIAM J. Appl. Math. 81 (1) (2021)
G. Murali Mohan Reddy, P. Nanda, Michael Vynnycky, José Alberto Cuminato
Efficient numerical solution of boundary identification problems: MFS with adaptive stochastic optimization. Appl. Math. Comput. 409 (2021)
G. Murali Mohan Reddy, Alan B. Seitenfuss, Débora de Oliveira Medeiros, Luca Meacci, Milton de Oliveira Assunção Jr., Michael Vynnycky
A Compact FEM Implementation for Parabolic Integro-Differential Equations in 2D. Algorithms 13 (10) (2020)
Sean McKee, Michael Vynnycky, José Alberto Cuminato
An elementary diffusion problem, Laplace transforms and novel mathematical identities. J. Comput. Appl. Math. 353 (2019)
Michael Vynnycky, Milton de Oliveira Assunção Jr.
The Vanadium Redox Flow Battery: an Asymptotic Perspective. SIAM J. Appl. Math. 79 (4) (2019)
G. Murali Mohan Reddy, Michael Vynnycky, José Alberto Cuminato
An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem. J. Comput. Appl. Math. 349 (2019)
Murilo F. Tomé, Juliana Bertoco, Cassio M. Oishi, Manoel Silvino Batalha de Araújo, D. Cruz, Fernando Pinho, Michael Vynnycky
A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows. J. Comput. Phys. 311 (2016)
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)
A. K. Sharma, Erik Birgersson, Michael Vynnycky
Towards computationally-efficient modeling of transport phenomena in three-dimensional monolithic channels. Appl. Math. Comput. 254 (2015)
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)
Michael Vynnycky, Kamen Kanev
Mathematical Analysis of the Multisolution Phenomenon in the P3P Problem. J. Math. Imaging Vis. 51 (2) (2015)
Iain W. Stewart, Michael Vynnycky, Sean McKee, Murilo F. Tomé
Boundary Layers in Pressure-driven Flow in Smectic A Liquid Crystals. SIAM J. Appl. Math. 75 (4) (2015)
Michael Vynnycky, M. A. O'Brien
The slow, steady ascent of a hot solid sphere in a Newtonian fluid with strongly temperature-dependent viscosity. Appl. Math. Comput. 231 (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)
Michael Vynnycky, M. A. O'Brien
An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity. Appl. Math. Comput. 219 (6) (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, Michael Vynnycky
Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. Appl. Math. Comput. 215 (4) (2009)
Michael Vynnycky, G. Shugai, P. Yakubenko, N. Mellgren
Asymptotic Reduction for Numerical Modeling of Polymer Electrolyte Fuel Cells. SIAM J. Appl. Math. 70 (2) (2009)
Michael Vynnycky
On the modelling of two-phase flow in the cathode gas diffusion layer of a polymer electrolyte fuel cell. Appl. Math. Comput. 189 (2) (2007)
Erik Birgersson, Michael Vynnycky
Analysis of a Model for Multicomponent Mass Transfer in the Cathode of a Polymer Electrolyte Fuel Cell. SIAM J. Appl. Math. 63 (4) (2003)