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Journal Articles
- 2023
[j31]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: 127744 (2023)- [j30]Michael Vynnycky:
On boundary immobilization for one-dimensional Stefan-type problems with a moving boundary having initially parabolic-logarithmic behaviour. Appl. Math. Comput. 444: 127803 (2023) - [j29]Leslaw K. Bieniasz, Sean McKee, Michael Vynnycky:
A reaction-diffusion system arising from electrochemistry. J. Comput. Appl. Math. 423: 114961 (2023) - [j28]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): 882-908 (2023) - 2022
- [j27]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: 216-226 (2022) - [j26]Michael Vynnycky, A. S. Nick, Milton Assunção:
Fast computation of the Lorentz force induced by longitudinal electromagnetic stirring. J. Comput. Appl. Math. 416: 114565 (2022) - [j25]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): 677-693 (2022) - 2021
- [j24]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: 125979 (2021) - [j23]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: 126402 (2021) - [j22]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) - [j21]Michael Vynnycky, Sean McKee, Leslaw K. Bieniasz:
A NonLinear Transient Reaction-Diffusion Problem from Electroanalytical Chemistry. SIAM J. Appl. Math. 81(1): 208-232 (2021) - 2020
- [j20]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): 242 (2020) - 2019
- [j19]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: 21-40 (2019) - [j18]Sean McKee, Michael Vynnycky, José Alberto Cuminato:
An elementary diffusion problem, Laplace transforms and novel mathematical identities. J. Comput. Appl. Math. 353: 113-119 (2019) - [j17]Michael Vynnycky, Milton de Oliveira Assunção Jr.:
The Vanadium Redox Flow Battery: an Asymptotic Perspective. SIAM J. Appl. Math. 79(4): 1147-1172 (2019) - 2016
- [j16]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: 259-274 (2016) - [j15]Murilo F. Tomé, Juliana Bertoco, Cassio M. Oishi, Manoel Silvino Batalha de Araújo, Daniel Onofre de Almeida 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: 114-141 (2016) - 2015
- [j14]A. K. Sharma, Erik Birgersson, Michael Vynnycky:
Towards computationally-efficient modeling of transport phenomena in three-dimensional monolithic channels. Appl. Math. Comput. 254: 392-407 (2015) - [j13]Brendan Florio, Michael Vynnycky, Sarah L. Mitchell, Stephen B. G. O'Brien:
Mould-taper asymptotics and air gap formation in continuous casting. Appl. Math. Comput. 268: 1122-1139 (2015) - [j12]Michael Vynnycky, Sarah L. Mitchell:
On the numerical solution of a Stefan problem with finite extinction time. J. Comput. Appl. Math. 276: 98-109 (2015) - [j11]Michael Vynnycky, Kamen Kanev:
Mathematical Analysis of the Multisolution Phenomenon in the P3P Problem. J. Math. Imaging Vis. 51(2): 326-337 (2015) - [j10]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): 1817-1851 (2015) - 2014
- [j9]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: 231-253 (2014) - [j8]Sarah L. Mitchell, Michael Vynnycky:
On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions. J. Comput. Appl. Math. 264: 49-64 (2014) - 2012
- [j7]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): 3154-3177 (2012) - [j6]Sarah L. Mitchell, Michael Vynnycky:
An accurate finite-difference method for ablation-type Stefan problems. J. Comput. Appl. Math. 236(17): 4181-4192 (2012) - 2011
- [j5]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): 9219-9233 (2011) - 2009
- [j4]Sarah L. Mitchell, Michael Vynnycky:
Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. Appl. Math. Comput. 215(4): 1609-1621 (2009) - [j3]Michael Vynnycky, G. Shugai, P. Yakubenko, N. Mellgren:
Asymptotic Reduction for Numerical Modeling of Polymer Electrolyte Fuel Cells. SIAM J. Appl. Math. 70(2): 455-487 (2009) - 2007
- [j2]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): 1560-1575 (2007) - 2003
- [j1]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): 1392-1423 (2003)
Coauthor Index
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