Grigorii I. Shishkin

Orcid: 0000-0002-6886-8979

According to our database1, Grigorii I. Shishkin authored at least 32 papers between 1996 and 2020.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2020
Difference Schemes on Uniform Grids for an Initial-Boundary Value Problem for a Singularly Perturbed Parabolic Convection-Diffusion Equation.
Comput. Methods Appl. Math., 2020

2018
Robust difference Scheme for the Cauchy Problem for a singularly perturbed ordinary differential equation.
Math. Model. Anal., 2018

On a Reliable Numerical Method for a Singularly Perturbed Parabolic Reaction-Diffusion Problem in a Doubly Connected Domain.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

Development and Numerical Study of Robust Difference Schemes for a Singularly Perturbed Transport Equation.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

Improved Computer Scheme for a Singularly Perturbed Parabolic Convection-Diffusion Equation.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

2017
An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers.
J. Comput. Appl. Math., 2017

2012
Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source.
Comput. Methods Appl. Math., 2012

A numerical layer resolving method for the flow over a curved surface.
Appl. Math. Comput., 2012

2009
A class of singularly perturbed quasilinear differential equations with interior layers.
Math. Comput., 2009

Numerical Method for Singularly Perturbed Parabolic Equations in Unbounded Domains in the Case of Solutions Growing at Infinity.
Comput. Methods Appl. Math., 2009

2008
Grid Approximation of a Singularly Perturbed Parabolic Reaction-Diffusion Equation on a Ball.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

2006
Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems.
Math. Comput., 2006

2005
A class of singularly perturbed semilinear differential equations with interior layers.
Math. Comput., 2005

2004
Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient.
Math. Comput. Model., 2004

A reynolds-uniform numerical method for prandtl's boundary layer problem for flow past a plate with mass transfer.
Int. J. Comput. Eng. Sci., 2004

2001
High-Order Time-Accurate Parallel Schemes for Parabolic Singularly Perturbed Problems with Convection.
Computing, 2001

Numerical experiments for advection-diffusion problems in a channel with a 180° bend.
Appl. Math. Comput., 2001

2000
A Domain Decomposition Finite Difference Method for Singularly Perturbed Elliptic Equations in Composed Domains.
Proceedings of the Numerical Analysis and Its Applications, 2000

On a Necessary Requirement for <i>Re</i>-Uniform Numerical Methods to Solve Boundary Layer Equations for Flow along a Flat Plate.
Proceedings of the Numerical Analysis and Its Applications, 2000

<i>A Posteriori</i> and <i>a Priori</i> Techniques of Loal Grid Refinement for Parabolic Problems with Boundary and Transition Layers.
Proceedings of the Numerical Analysis and Its Applications, 2000

A Robust Layer-Resolving Numerical Method for Plane Stagnation Point Flow.
Proceedings of the Numerical Analysis and Its Applications, 2000

Schwarz Methods for Convection-Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications, 2000

Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications, 2000

Reynolds-Uniform Numerical Method for Prandtl's Problem with Suction-Blowing Based on Blasius' Approach.
Proceedings of the Numerical Analysis and Its Applications, 2000

Parameter-Uniform Numerical Methods for a Class of Singularity Perturbed Problems with a Neumann Boundary Condition.
Proceedings of the Numerical Analysis and Its Applications, 2000

Singularity Perturbed Parabolic Problems on Non-rectangular Domains.
Proceedings of the Numerical Analysis and Its Applications, 2000

A Parameter Robust Method for a Problem with a Symmetry Boundary Layer.
Proceedings of the Numerical Analysis and Its Applications, 2000

1998
On the non-existence of epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems.
Math. Comput., 1998

1996
Grid Approximations of the Solution and Diffusion Flux for Singularity Perturbed Equations with Neumann Boundary Conditions.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

Numerical Analysis in Singularly Perturbed Boundary Value Problems Modelling Heat Transfer Processes.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996


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