Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. Zbl 1177.80078
Mitchell, S. L.; Vynnycky, M. |
|
2009
|
An accurate numerical solution for the transient heating of an evaporating spherical droplet. Zbl 1223.80009
Mitchell, S. L.; Vynnycky, M.; Gusev, I. G.; Sazhin, S. S. |
|
2011
|
An accurate finite-difference method for ablation-type Stefan problems. Zbl 1247.65119
Mitchell, S. L.; Vynnycky, M. |
|
2012
|
On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions. Zbl 1294.65089
Mitchell, S. L.; Vynnycky, M. |
|
2014
|
An asymptotic model for the formation and evolution of air gaps in vertical continuous casting. Zbl 1186.74037
Vynnycky, M. |
|
2009
|
On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion. Zbl 1382.80006
Mitchell, S. L.; Vynnycky, M. |
|
2016
|
Air gaps in vertical continuous casting in round moulds. Zbl 1310.76174
Vynnycky, M. |
|
2010
|
Forced convection heat transfer from a flat plate: The conjugate problem. Zbl 0917.76086
Vynnycky, M.; Kimura, S.; Kanev, K.; Pop, I. |
|
1998
|
Supporting electrolyte asymptotics and the electrochemical pickling of steel. Zbl 1195.76422
Vynnycky, M.; Ipek, N. |
|
2009
|
Contact lines with a 180\(^\circ\) contact angle. Zbl 1284.76122
Benilov, E. S.; Vynnycky, M. |
|
2013
|
On the numerical solution of a Stefan problem with finite extinction time. Zbl 1300.80006
Vynnycky, M.; Mitchell, S. L. |
|
2015
|
On the explicit resolution of the mushy zone in the modelling of the continuous casting of alloys. Zbl 1476.82012
Vynnycky, Michael; Saleem, S. |
|
2017
|
An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem. Zbl 1524.35766
Reddy, G. M. M.; Vynnycky, M.; Cuminato, J. A. |
|
2019
|
On the role of radiative heat transfer in air gaps in vertical continuous casting. Zbl 1349.80025
Vynnycky, M. |
|
2013
|
On efficient reconstruction of boundary data with optimal placement of the source points in the MFS: application to inverse Stefan problems. Zbl 1428.65053
Reddy, G. M. M.; Vynnycky, M.; Cuminato, J. A. |
|
2018
|
Multiple bulk-reaction asymptotics and the electrochemical pickling of steel. Zbl 1367.78006
Vynnycky, Michael; Ipek, N. |
|
2013
|
An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy-Stefan problem. Zbl 1476.65274
Reddy, G. M. M.; Nanda, P.; Vynnycky, M.; Cuminato, J. A. |
|
2021
|
Transient conjugate free convection due to a vertical plate in a porous medium. Zbl 0925.76693
Vynnycky, Michael; Kimura, Shigeo |
|
1995
|
Concerning closed-streamline flow with discontinuous boundary conditions. Zbl 0902.76023
Vynnycky, M. |
|
1998
|
Rayleigh-Bénard convection at high Rayleigh number and infinite Prandtl number: asymptotics and numerics. Zbl 1320.76107
Vynnycky, M.; Masuda, Y. |
|
2013
|
Mould-taper asymptotics and air gap formation in continuous casting. Zbl 1410.74018
Florio, B. J.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G. |
|
2015
|
Analysis of a model for multicomponent mass transfer in the cathode of a polymer electrolyte fuel cell. Zbl 1038.76051
Vynnycky, M.; Birgersson, E. |
|
2003
|
Verified reduction of a model for a continuous casting process. Zbl 1480.80011
Mitchell, Sarah L.; Vynnycky, M. |
|
2017
|
A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows. Zbl 1349.76539
Tomé, M. F.; Bertoco, J.; Oishi, C. M.; Araujo, M. S. B.; Cruz, D.; Pinho, F. T.; Vynnycky, M. |
|
2016
|
Supporting electrolyte asymptotics and the electrochemical pickling of steel. Zbl 1431.78008
Vynnycky, M. |
|
2011
|
The oxygen diffusion problem: analysis and numerical solution. Zbl 1443.65134
Mitchell, S. L.; Vynnycky, M. |
|
2015
|
An investigation of recirculating flow in a driven cavity. Zbl 0832.76016
Vynnycky, Michael; Kimura, Shigeo |
|
1994
|
Conjugate free convection due to a vertical plate in a porous medium. Zbl 0802.76078
Vynnycky, Michael; Kimura, Shigeo |
|
1994
|
On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys. Zbl 1508.76087
Assunção, M.; Vynnycky, M.; Mitchell, S. L. |
|
2021
|
On the interactive effects of mould taper and superheat on air gaps in continuous casting. Zbl 1401.74073
Florio, Brendan J.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G. |
|
2017
|
An asymptotic approach to solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys. Zbl 1480.74246
Vynnycky, M.; Saleem, S.; Fredriksson, H. |
|
2018
|
On the modelling of two-phase flow in the cathode gas diffusion layer of a polymer electrolyte fuel cell. Zbl 1122.76082
Vynnycky, M. |
|
2007
|
Unicellular natural circulation in a shallow horizontal porous layer heated from below by a constant flux. Zbl 0854.76086
Kimura, S.; Vynnycky, M.; Alavyoon, F. |
|
1995
|
Oxidation-induced stresses in the isolation oxidation of silicon. Zbl 0981.74020
Evans, J. D.; Vynnycky, M.; Ferro, S. P. |
|
2000
|
Numerical studies of thermal convection with temperature- and pressure-dependent viscosity at extreme viscosity contrasts. Zbl 1326.76094
Khaleque, Tania S.; Fowler, A. C.; Howell, P. D.; Vynnycky, M. |
|
2015
|
Boundary layers in pressure-driven flow in smectic A liquid crystals. Zbl 1330.35347
Stewart, I. W.; Vynnycky, M.; McKee, S.; Tomé, M. F. |
|
2015
|
A finite-element method for the weakly compressible parabolized steady 3D Navier-Stokes equations in a channel with a permeable wall. Zbl 1285.76020
Vynnycky, M.; Sharma, A. K.; Birgersson, E. |
|
2013
|
Asymptotic reduction for numerical modeling of polymer electrolyte fuel cells. Zbl 1190.35188
Vynnycky, M.; Shugai, G.; Yakubenko, P.; Mellgren, N. |
|
2009
|
An analytical and numerical study of coupled transient natural convection and solidification in a rectangular enclosure. Zbl 1140.80392
Vynnycky, Michael; Kimura, Shigeo |
|
2007
|
The vanadium redox flow battery: an asymptotic perspective. Zbl 1421.35356
Vynnycky, M.; Assunção, M. |
|
2019
|
An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions. Zbl 1508.65109
Mitchell, S. L.; Vynnycky, M. |
|
2021
|
Mathematical modelling of drug release from a porous granule. Zbl 1481.92046
Moroney, Kevin M.; Vynnycky, Michael |
|
2021
|
On the hydrophobicity and hydrophilicity of the cathode gas diffusion layer in a polymer electrolyte fuel cell. Zbl 1348.82094
Vynnycky, M.; Gordon, A. |
|
2013
|
Towards a “moving-point” formulation for the modelling of oscillation-mark formation in the continuous casting of steel. Zbl 1480.80014
Vynnycky, Michael; Zambrano, M. |
|
2018
|
Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities. Zbl 1471.76068
Vynnycky, Michael; McKee, Sean; Meere, Martin; McCormick, Christopher; McGinty, Sean |
|
2019
|
A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel. Zbl 1471.76082
Devine, K. M.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G. |
|
2021
|
On longitudinal electromagnetic stirring in the continuous casting of steel blooms. Zbl 1436.78010
Nick, A. S.; Vynnycky, M. |
|
2020
|
A quasi-asymptotic model for the ascent of magmatic diapirs. Zbl 1541.86021
Vynnycky, M.; O’Brien, M. A. |
|
2014
|
On boundary immobilization for one-dimensional Stefan-type problems with a moving boundary having initially parabolic-logarithmic behaviour. Zbl 1511.80005
Vynnycky, M. |
|
2023
|
Mathematical modeling of fuel cells: from analysis to numerics. Zbl 1137.76513
Vynnycky, M.; Birgersson, E. |
|
2005
|
An elementary diffusion problem, Laplace transforms and novel mathematical identities. Zbl 1418.35006
McKee, S.; Vynnycky, M.; Cuminato, J. A. |
|
2019
|
Towards computationally-efficient modeling of transport phenomena in three-dimensional monolithic channels. Zbl 1410.80014
Sharma, A. K.; Birgersson, E.; Vynnycky, M. |
|
2015
|
The slow, steady ascent of a hot solid sphere in a Newtonian fluid with strongly temperature-dependent viscosity. Zbl 1410.76050
Vynnycky, M.; O’Brien, M. A. |
|
2014
|
On the uniform vorticity in a high Reynolds number flow. Zbl 0794.76027
Vynnycky, M. |
|
1994
|
On the significance of sulphuric acid dissociation in the modelling of Vanadium redox flow batteries. Zbl 1456.76140
Vynnycky, M.; Assunção, M. |
|
2020
|
Efficient numerical solution of boundary identification problems: MFS with adaptive stochastic optimization. Zbl 1510.65231
Reddy, G. M. M.; Nanda, P.; Vynnycky, M.; Cuminato, J. A. |
|
2021
|
An asymptotic model for the primary drying stage of vial lyophilization. Zbl 1358.80006
Vynnycky, M. |
|
2016
|
An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity. Zbl 1309.76088
Vynnycky, M.; O’Brien, M. A. |
|
2012
|
A nonlinear transient reaction-diffusion problem from electroanalytical chemistry. Zbl 1461.35024
Vynnycky, Michael; McKee, Sean; Bieniasz, Lesław |
|
2021
|
On boundary immobilization for one-dimensional Stefan-type problems with a moving boundary having initially parabolic-logarithmic behaviour. Zbl 1511.80005
Vynnycky, M. |
|
2023
|
An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy-Stefan problem. Zbl 1476.65274
Reddy, G. M. M.; Nanda, P.; Vynnycky, M.; Cuminato, J. A. |
|
2021
|
On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys. Zbl 1508.76087
Assunção, M.; Vynnycky, M.; Mitchell, S. L. |
|
2021
|
An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions. Zbl 1508.65109
Mitchell, S. L.; Vynnycky, M. |
|
2021
|
Mathematical modelling of drug release from a porous granule. Zbl 1481.92046
Moroney, Kevin M.; Vynnycky, Michael |
|
2021
|
A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel. Zbl 1471.76082
Devine, K. M.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G. |
|
2021
|
Efficient numerical solution of boundary identification problems: MFS with adaptive stochastic optimization. Zbl 1510.65231
Reddy, G. M. M.; Nanda, P.; Vynnycky, M.; Cuminato, J. A. |
|
2021
|
A nonlinear transient reaction-diffusion problem from electroanalytical chemistry. Zbl 1461.35024
Vynnycky, Michael; McKee, Sean; Bieniasz, Lesław |
|
2021
|
On longitudinal electromagnetic stirring in the continuous casting of steel blooms. Zbl 1436.78010
Nick, A. S.; Vynnycky, M. |
|
2020
|
On the significance of sulphuric acid dissociation in the modelling of Vanadium redox flow batteries. Zbl 1456.76140
Vynnycky, M.; Assunção, M. |
|
2020
|
An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem. Zbl 1524.35766
Reddy, G. M. M.; Vynnycky, M.; Cuminato, J. A. |
|
2019
|
The vanadium redox flow battery: an asymptotic perspective. Zbl 1421.35356
Vynnycky, M.; Assunção, M. |
|
2019
|
Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities. Zbl 1471.76068
Vynnycky, Michael; McKee, Sean; Meere, Martin; McCormick, Christopher; McGinty, Sean |
|
2019
|
An elementary diffusion problem, Laplace transforms and novel mathematical identities. Zbl 1418.35006
McKee, S.; Vynnycky, M.; Cuminato, J. A. |
|
2019
|
On efficient reconstruction of boundary data with optimal placement of the source points in the MFS: application to inverse Stefan problems. Zbl 1428.65053
Reddy, G. M. M.; Vynnycky, M.; Cuminato, J. A. |
|
2018
|
An asymptotic approach to solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys. Zbl 1480.74246
Vynnycky, M.; Saleem, S.; Fredriksson, H. |
|
2018
|
Towards a “moving-point” formulation for the modelling of oscillation-mark formation in the continuous casting of steel. Zbl 1480.80014
Vynnycky, Michael; Zambrano, M. |
|
2018
|
On the explicit resolution of the mushy zone in the modelling of the continuous casting of alloys. Zbl 1476.82012
Vynnycky, Michael; Saleem, S. |
|
2017
|
Verified reduction of a model for a continuous casting process. Zbl 1480.80011
Mitchell, Sarah L.; Vynnycky, M. |
|
2017
|
On the interactive effects of mould taper and superheat on air gaps in continuous casting. Zbl 1401.74073
Florio, Brendan J.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G. |
|
2017
|
On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion. Zbl 1382.80006
Mitchell, S. L.; Vynnycky, M. |
|
2016
|
A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows. Zbl 1349.76539
Tomé, M. F.; Bertoco, J.; Oishi, C. M.; Araujo, M. S. B.; Cruz, D.; Pinho, F. T.; Vynnycky, M. |
|
2016
|
An asymptotic model for the primary drying stage of vial lyophilization. Zbl 1358.80006
Vynnycky, M. |
|
2016
|
On the numerical solution of a Stefan problem with finite extinction time. Zbl 1300.80006
Vynnycky, M.; Mitchell, S. L. |
|
2015
|
Mould-taper asymptotics and air gap formation in continuous casting. Zbl 1410.74018
Florio, B. J.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G. |
|
2015
|
The oxygen diffusion problem: analysis and numerical solution. Zbl 1443.65134
Mitchell, S. L.; Vynnycky, M. |
|
2015
|
Numerical studies of thermal convection with temperature- and pressure-dependent viscosity at extreme viscosity contrasts. Zbl 1326.76094
Khaleque, Tania S.; Fowler, A. C.; Howell, P. D.; Vynnycky, M. |
|
2015
|
Boundary layers in pressure-driven flow in smectic A liquid crystals. Zbl 1330.35347
Stewart, I. W.; Vynnycky, M.; McKee, S.; Tomé, M. F. |
|
2015
|
Towards computationally-efficient modeling of transport phenomena in three-dimensional monolithic channels. Zbl 1410.80014
Sharma, A. K.; Birgersson, E.; Vynnycky, M. |
|
2015
|
On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions. Zbl 1294.65089
Mitchell, S. L.; Vynnycky, M. |
|
2014
|
A quasi-asymptotic model for the ascent of magmatic diapirs. Zbl 1541.86021
Vynnycky, M.; O’Brien, M. A. |
|
2014
|
The slow, steady ascent of a hot solid sphere in a Newtonian fluid with strongly temperature-dependent viscosity. Zbl 1410.76050
Vynnycky, M.; O’Brien, M. A. |
|
2014
|
Contact lines with a 180\(^\circ\) contact angle. Zbl 1284.76122
Benilov, E. S.; Vynnycky, M. |
|
2013
|
On the role of radiative heat transfer in air gaps in vertical continuous casting. Zbl 1349.80025
Vynnycky, M. |
|
2013
|
Multiple bulk-reaction asymptotics and the electrochemical pickling of steel. Zbl 1367.78006
Vynnycky, Michael; Ipek, N. |
|
2013
|
Rayleigh-Bénard convection at high Rayleigh number and infinite Prandtl number: asymptotics and numerics. Zbl 1320.76107
Vynnycky, M.; Masuda, Y. |
|
2013
|
A finite-element method for the weakly compressible parabolized steady 3D Navier-Stokes equations in a channel with a permeable wall. Zbl 1285.76020
Vynnycky, M.; Sharma, A. K.; Birgersson, E. |
|
2013
|
On the hydrophobicity and hydrophilicity of the cathode gas diffusion layer in a polymer electrolyte fuel cell. Zbl 1348.82094
Vynnycky, M.; Gordon, A. |
|
2013
|
An accurate finite-difference method for ablation-type Stefan problems. Zbl 1247.65119
Mitchell, S. L.; Vynnycky, M. |
|
2012
|
An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity. Zbl 1309.76088
Vynnycky, M.; O’Brien, M. A. |
|
2012
|
An accurate numerical solution for the transient heating of an evaporating spherical droplet. Zbl 1223.80009
Mitchell, S. L.; Vynnycky, M.; Gusev, I. G.; Sazhin, S. S. |
|
2011
|
Supporting electrolyte asymptotics and the electrochemical pickling of steel. Zbl 1431.78008
Vynnycky, M. |
|
2011
|
Air gaps in vertical continuous casting in round moulds. Zbl 1310.76174
Vynnycky, M. |
|
2010
|
Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. Zbl 1177.80078
Mitchell, S. L.; Vynnycky, M. |
|
2009
|
An asymptotic model for the formation and evolution of air gaps in vertical continuous casting. Zbl 1186.74037
Vynnycky, M. |
|
2009
|
Supporting electrolyte asymptotics and the electrochemical pickling of steel. Zbl 1195.76422
Vynnycky, M.; Ipek, N. |
|
2009
|
Asymptotic reduction for numerical modeling of polymer electrolyte fuel cells. Zbl 1190.35188
Vynnycky, M.; Shugai, G.; Yakubenko, P.; Mellgren, N. |
|
2009
|
On the modelling of two-phase flow in the cathode gas diffusion layer of a polymer electrolyte fuel cell. Zbl 1122.76082
Vynnycky, M. |
|
2007
|
An analytical and numerical study of coupled transient natural convection and solidification in a rectangular enclosure. Zbl 1140.80392
Vynnycky, Michael; Kimura, Shigeo |
|
2007
|
Mathematical modeling of fuel cells: from analysis to numerics. Zbl 1137.76513
Vynnycky, M.; Birgersson, E. |
|
2005
|
Analysis of a model for multicomponent mass transfer in the cathode of a polymer electrolyte fuel cell. Zbl 1038.76051
Vynnycky, M.; Birgersson, E. |
|
2003
|
Oxidation-induced stresses in the isolation oxidation of silicon. Zbl 0981.74020
Evans, J. D.; Vynnycky, M.; Ferro, S. P. |
|
2000
|
Forced convection heat transfer from a flat plate: The conjugate problem. Zbl 0917.76086
Vynnycky, M.; Kimura, S.; Kanev, K.; Pop, I. |
|
1998
|
Concerning closed-streamline flow with discontinuous boundary conditions. Zbl 0902.76023
Vynnycky, M. |
|
1998
|
Transient conjugate free convection due to a vertical plate in a porous medium. Zbl 0925.76693
Vynnycky, Michael; Kimura, Shigeo |
|
1995
|
Unicellular natural circulation in a shallow horizontal porous layer heated from below by a constant flux. Zbl 0854.76086
Kimura, S.; Vynnycky, M.; Alavyoon, F. |
|
1995
|
An investigation of recirculating flow in a driven cavity. Zbl 0832.76016
Vynnycky, Michael; Kimura, Shigeo |
|
1994
|
Conjugate free convection due to a vertical plate in a porous medium. Zbl 0802.76078
Vynnycky, Michael; Kimura, Shigeo |
|
1994
|
On the uniform vorticity in a high Reynolds number flow. Zbl 0794.76027
Vynnycky, M. |
|
1994
|