Grigorii I. Shishkin

29 papers Journal 14Unranked 15

Year	Rank	Type	Title / Venue / Authors
2020	J	`jnl`	Difference Schemes on Uniform Grids for an Initial-Boundary Value Problem for a Singularly Perturbed Parabolic Convection-Diffusion Equation. Comput. Methods Appl. Math. Grigorii I. Shishkin, Lidia P. Shishkina
2018	—	`conf`	Development and Numerical Study of Robust Difference Schemes for a Singularly Perturbed Transport Equation. FDM Lidia P. Shishkina, Grigorii I. Shishkin
2018	—	`conf`	Improved Computer Scheme for a Singularly Perturbed Parabolic Convection-Diffusion Equation. FDM Grigorii I. Shishkin, Lidia P. Shishkina
2018	—	`conf`	On a Reliable Numerical Method for a Singularly Perturbed Parabolic Reaction-Diffusion Problem in a Doubly Connected Domain. FDM Irina V. Tselishcheva, Grigorii I. Shishkin
2018	J	`jnl`	Robust difference Scheme for the Cauchy Problem for a singularly perturbed ordinary differential equation. Math. Model. Anal. Lidia P. Shishkina, Grigorii I. Shishkin
2017	J	`jnl`	An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. J. Comput. Appl. Math. Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina
2012	J	`jnl`	A numerical layer resolving method for the flow over a curved surface. Appl. Math. Comput. Ali R. Ansari, B. Hossain, Barry Koren, Grigorii I. Shishkin
2012	J	`jnl`	Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source. Comput. Methods Appl. Math. Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina
2009	J	`jnl`	A class of singularly perturbed quasilinear differential equations with interior layers. Math. Comput. Paul A. Farrell, Eugene O'Riordan, Grigorii I. Shishkin
2009	J	`jnl`	Numerical Method for Singularly Perturbed Parabolic Equations in Unbounded Domains in the Case of Solutions Growing at Infinity. Comput. Methods Appl. Math. Grigorii I. Shishkin
2006	J	`jnl`	Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems. Math. Comput. Eugene O'Riordan, M. L. Pickett, Grigorii I. Shishkin
2005	J	`jnl`	A class of singularly perturbed semilinear differential equations with interior layers. Math. Comput. Paul A. Farrell, Eugene O'Riordan, Grigorii I. Shishkin
2004	J	`jnl`	A reynolds-uniform numerical method for prandtl's boundary layer problem for flow past a plate with mass transfer. Int. J. Comput. Eng. Sci. J. S. Butler, John J. H. Miller, Grigorii I. Shishkin
2004	J	`jnl`	Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. Math. Comput. Model. Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
2001	J	`jnl`	High-Order Time-Accurate Parallel Schemes for Parabolic Singularly Perturbed Problems with Convection. Computing Pieter W. Hemker, Grigorii I. Shishkin, Lidia P. Shishkina
2001	J	`jnl`	Numerical experiments for advection-diffusion problems in a channel with a 180° bend. Appl. Math. Comput. Carmelo Clavero, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
2000	—	`conf`	A Domain Decomposition Finite Difference Method for Singularly Perturbed Elliptic Equations in Composed Domains. NAA Irina V. Tselishcheva, Grigorii I. Shishkin
2000	—	`conf`	A Parameter Robust Method for a Problem with a Symmetry Boundary Layer. NAA Ali R. Ansari, Alan F. Hegarty, Grigorii I. Shishkin
2000	—	`conf`	A Robust Layer-Resolving Numerical Method for Plane Stagnation Point Flow. NAA John J. H. Miller, Alison P. Musgrave, Grigorii I. Shishkin
2000	—	`conf`	Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems. NAA Pieter W. Hemker, Grigorii I. Shishkin, Lidia P. Shishkina
2000	—	`conf`	On a Necessary Requirement for NAA Grigorii I. Shishkin, Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan
2000	—	`conf`	Parameter-Uniform Numerical Methods for a Class of Singularity Perturbed Problems with a Neumann Boundary Condition. NAA Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
2000	—	`conf`	Reynolds-Uniform Numerical Method for Prandtl's Problem with Suction-Blowing Based on Blasius' Approach. NAA B. Gahan, John J. H. Miller, Grigorii I. Shishkin
2000	—	`conf`	Schwarz Methods for Convection-Diffusion Problems. NAA H. MacMullen, Eugene O'Riordan, Grigorii I. Shishkin
2000	—	`conf`	Singularity Perturbed Parabolic Problems on Non-rectangular Domains. NAA R. K. Dunne, Eugene O'Riordan, Grigorii I. Shishkin
1998	J	`jnl`	On the non-existence of epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems. Math. Comput. Paul A. Farrell, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
1996	—	`conf`	Grid Approximations of the Solution and Diffusion Flux for Singularity Perturbed Equations with Neumann Boundary Conditions. WNAA Grigorii I. Shishkin
1996	—	`conf`	Numerical Analysis in Singularly Perturbed Boundary Value Problems Modelling Heat Transfer Processes. WNAA V. L. Kolmogorov, Grigorii I. Shishkin, Lidia P. Shishkina
1996	—	`conf`	Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems. WNAA Carmelo Clavero, Juan Carlos Jorge, Francisco Javier Lisbona, Grigorii I. Shishkin