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ORCIDGrigorii I. Shishkin
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2020 – today
- 2020
[j14]Grigorii I. Shishkin
, Lidia P. Shishkina:
Difference Schemes on Uniform Grids for an Initial-Boundary Value Problem for a Singularly Perturbed Parabolic Convection-Diffusion Equation. Comput. Methods Appl. Math. 20(4): 709-715 (2020)
2010 – 2019
- 2018
- [j13]Lidia P. Shishkina, Grigorii I. Shishkin:
Robust difference Scheme for the Cauchy Problem for a singularly perturbed ordinary differential equation. Math. Model. Anal. 23(4): 527-537 (2018) - [c18]Grigorii I. Shishkin, Lidia P. Shishkina:
Improved Computer Scheme for a Singularly Perturbed Parabolic Convection-Diffusion Equation. FDM 2018: 80-91 - [c17]Lidia P. Shishkina, Grigorii I. Shishkin:
Development and Numerical Study of Robust Difference Schemes for a Singularly Perturbed Transport Equation. FDM 2018: 476-483 - [c16]Irina V. Tselishcheva, Grigorii I. Shishkin:
On a Reliable Numerical Method for a Singularly Perturbed Parabolic Reaction-Diffusion Problem in a Doubly Connected Domain. FDM 2018: 558-565 - 2017
- [j12]Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina:
An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. J. Comput. Appl. Math. 318: 634-645 (2017) - 2012
- [j11]Ali R. Ansari, B. Hossain, Barry Koren, Grigorii I. Shishkin:
A numerical layer resolving method for the flow over a curved surface. Appl. Math. Comput. 218(21): 10656-10668 (2012) - [j10]Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina:
Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source. Comput. Methods Appl. Math. 12(2): 139-152 (2012)
2000 – 2009
- 2009
- [j9]Grigorii I. Shishkin:
Numerical Method for Singularly Perturbed Parabolic Equations in Unbounded Domains in the Case of Solutions Growing at Infinity. Comput. Methods Appl. Math. 9(1): 100-110 (2009) - [j8]Paul A. Farrell, Eugene O'Riordan, Grigorii I. Shishkin:
A class of singularly perturbed quasilinear differential equations with interior layers. Math. Comput. 78(265): 103-127 (2009) - 2008
- [c15]Grigory Shishkin:
Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition. NAA 2008: 116-127 - [c14]Lidia P. Shishkina, Grigory Shishkin:
Grid Approximation of a Singularly Perturbed Parabolic Reaction-Diffusion Equation on a Ball. NAA 2008: 501-508 - 2006
- [j7]Eugene O'Riordan, M. L. Pickett, Grigorii I. Shishkin:
Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems. Math. Comput. 75(255): 1135-1154 (2006) - 2005
- [j6]Paul A. Farrell, Eugene O'Riordan, Grigorii I. Shishkin:
A class of singularly perturbed semilinear differential equations with interior layers. Math. Comput. 74(252): 1759-1776 (2005) - 2004
- [j5]J. S. Butler, John J. H. Miller, Grigorii I. Shishkin:
A reynolds-uniform numerical method for prandtl's boundary layer problem for flow past a plate with mass transfer. Int. J. Comput. Eng. Sci. 5(2): 387-402 (2004) - [j4]Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin:
Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. Math. Comput. Model. 40(11-12): 1375-1392 (2004) - 2001
- [j3]Carmelo Clavero, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin:
Numerical experiments for advection-diffusion problems in a channel with a 180° bend. Appl. Math. Comput. 118(2-3): 223-246 (2001) - [j2]Pieter W. Hemker, Grigorii I. Shishkin, Lidia P. Shishkina:
High-Order Time-Accurate Parallel Schemes for Parabolic Singularly Perturbed Problems with Convection. Computing 66(2): 139-161 (2001) - 2000
- [c13]Ali R. Ansari, Alan F. Hegarty, Grigorii I. Shishkin:
A Parameter Robust Method for a Problem with a Symmetry Boundary Layer. NAA 2000: 18-26 - [c12]R. K. Dunne, Eugene O'Riordan, Grigorii I. Shishkin:
Singularity Perturbed Parabolic Problems on Non-rectangular Domains. NAA 2000: 265-272 - [c11]Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin:
Parameter-Uniform Numerical Methods for a Class of Singularity Perturbed Problems with a Neumann Boundary Condition. NAA 2000: 292-303 - [c10]B. Gahan, John J. H. Miller, Grigorii I. Shishkin:
Reynolds-Uniform Numerical Method for Prandtl's Problem with Suction-Blowing Based on Blasius' Approach. NAA 2000: 304-315 - [c9]Pieter W. Hemker, Grigorii I. Shishkin, Lidia P. Shishkina:
Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems. NAA 2000: 393-401 - [c8]H. MacMullen, Eugene O'Riordan, Grigorii I. Shishkin:
Schwarz Methods for Convection-Diffusion Problems. NAA 2000: 544-551 - [c7]John J. H. Miller, Alison P. Musgrave, Grigorii I. Shishkin:
A Robust Layer-Resolving Numerical Method for Plane Stagnation Point Flow. NAA 2000: 594-601 - [c6]Grigorii I. Shishkin:
A Posteriori and a Priori Techniques of Loal Grid Refinement for Parabolic Problems with Boundary and Transition Layers. NAA 2000: 710-722 - [c5]Grigorii I. Shishkin, Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan:
On a Necessary Requirement for Re-Uniform Numerical Methods to Solve Boundary Layer Equations for Flow along a Flat Plate. NAA 2000: 723-731 - [c4]Irina V. Tselishcheva, Grigorii I. Shishkin:
A Domain Decomposition Finite Difference Method for Singularly Perturbed Elliptic Equations in Composed Domains. NAA 2000: 756-763
1990 – 1999
- 1998
- [j1]Paul A. Farrell, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin:
On the non-existence of epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems. Math. Comput. 67(222): 603-617 (1998) - 1996
- [c3]Carmelo Clavero, Juan Carlos Jorge, Francisco Javier Lisbona, Grigorii I. Shishkin:
Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems. WNAA 1996: 106-113 - [c2]V. L. Kolmogorov, Grigorii I. Shishkin, Lidia P. Shishkina:
Numerical Analysis in Singularly Perturbed Boundary Value Problems Modelling Heat Transfer Processes. WNAA 1996: 250-257 - [c1]Grigorii I. Shishkin:
Grid Approximations of the Solution and Diffusion Flux for Singularity Perturbed Equations with Neumann Boundary Conditions. WNAA 1996: 430-441
Coauthor Index
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