Grigorii I. Shishkin

发表

Parameter-Uniform Numerical Methods for a Class of Singularity Perturbed Problems with a Neumann Boundary Condition

Eugene O'Riordan, John J. H. Miller, Paul A. Farrell, 2000, NAA.

Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition

Grigorii I. Shishkin, G. Shishkin, 2009, NAA.

Singularity Perturbed Parabolic Problems on Non-rectangular Domains

Eugene O'Riordan, Grigorii I. Shishkin, R. K. Dunne, 2000, NAA.

Reynolds-Uniform Numerical Method for Prandtl's Problem with Suction-Blowing Based on Blasius' Approach

John J. H. Miller, Grigorii I. Shishkin, B. Gahan, 2000, NAA.

Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source

Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, 2012, Comput. Methods Appl. Math..

Numerical experiments for advection-diffusion problems in a channel with a 180° bend

Carmelo Clavero, Eugene O'Riordan, John J. H. Miller, 2001, Appl. Math. Comput..

Numerical Method for Singularly Perturbed Parabolic Equations in Unbounded Domains in the Case of Solutions Growing at Infinity

Grigorii I. Shishkin, 2009, Comput. Methods Appl. Math..

On a Reliable Numerical Method for a Singularly Perturbed Parabolic Reaction-Diffusion Problem in a Doubly Connected Domain

Grigorii I. Shishkin, Irina V. Tselishcheva, 2018, FDM.

A class of singularly perturbed semilinear differential equations with interior layers

Eugene O'Riordan, Paul A. Farrell, Grigorii I. Shishkin, 2005, Math. Comput..

Schwarz Methods for Convection-Diffusion Problems

Eugene O'Riordan, Grigorii I. Shishkin, H. MacMullen, 2000, NAA.

A Domain Decomposition Finite Difference Method for Singularly Perturbed Elliptic Equations in Composed Domains

Grigorii I. Shishkin, Irina V. Tselishcheva, 2000, NAA.

Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems

M. L. Pickett, Eugene O'Riordan, Grigorii I. Shishkin, 2006, Math. Comput..

A reynolds-uniform numerical method for prandtl's boundary layer problem for flow past a plate with mass transfer

John J. H. Miller, Grigorii I. Shishkin, J. S. Butler, 2004, Int. J. Comput. Eng. Sci..

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

Eugene O'Riordan, John J. H. Miller, Paul A. Farrell, 1998, Math. Comput..

Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient

Eugene O'Riordan, John J. H. Miller, Paul A. Farrell, 2004, Math. Comput. Model..

Development and Numerical Study of Robust Difference Schemes for a Singularly Perturbed Transport Equation

Grigorii I. Shishkin, Lidia P. Shishkina, L. Shishkina, 2018, FDM.

Grid Approximations of the Solution and Diffusion Flux for Singularity Perturbed Equations with Neumann Boundary Conditions

Grigorii I. Shishkin, 1996, WNAA.

Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems

Carmelo Clavero, Francisco Javier Lisbona, Juan Carlos Jorge, 1996, WNAA.

A numerical layer resolving method for the flow over a curved surface

Barry Koren, Ali R. Ansari, Grigorii I. Shishkin, 2012, Appl. Math. Comput..

A Parameter Robust Method for a Problem with a Symmetry Boundary Layer

Ali R. Ansari, Alan F. Hegarty, Grigorii I. Shishkin, 2000, NAA.

Grid Approximation of a Singularly Perturbed Parabolic Reaction-Diffusion Equation on a Ball

Grigorii I. Shishkin, Lidia P. Shishkina, L. Shishkina, 2009, NAA.

A class of singularly perturbed quasilinear differential equations with interior layers

Eugene O'Riordan, Paul A. Farrell, Grigorii I. Shishkin, 2009, Math. Comput..

On a Necessary Requirement for Re-Uniform Numerical Methods to Solve Boundary Layer Equations for Flow along a Flat Plate

Eugene O'Riordan, John J. H. Miller, Paul A. Farrell, 2000, NAA.

A Posteriori and a Priori Techniques of Loal Grid Refinement for Parabolic Problems with Boundary and Transition Layers

Grigorii I. Shishkin, G. Shishkin, 2000, NAA.

High-Order Time-Accurate Parallel Schemes for Parabolic Singularly Perturbed Problems with Convection

Pieter W. Hemker, Grigorii I. Shishkin, Lidia P. Shishkina, 2001, Computing.

Numerical Analysis in Singularly Perturbed Boundary Value Problems Modelling Heat Transfer Processes

V. L. Kolmogorov, Grigorii I. Shishkin, Lidia P. Shishkina, 1996, WNAA.

An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers

Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, 2017, J. Comput. Appl. Math..

Improved Computer Scheme for a Singularly Perturbed Parabolic Convection-Diffusion Equation

Grigorii I. Shishkin, Lidia P. Shishkina, 2018, FDM.

A Robust Layer-Resolving Numerical Method for Plane Stagnation Point Flow

John J. H. Miller, Grigorii I. Shishkin, Alison P. Musgrave, 2000, NAA.

Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems

Pieter W. Hemker, Grigorii I. Shishkin, Lidia P. Shishkina, 2000, NAA.

CONSERVATIVE NUMERICAL METHOD FOR A SYSTEM OF SEMILINEAR SINGULARLY PERTURBED PARABOLIC REACTION‐DIFFUSION EQUATIONS

Grigorii I. Shishkin, L. P. Shishkina, L. Shishkina, 2009 .

An alternating direction scheme on a nonuniform mesh for reaction-diffusion parabolic problems

J. C. Jorge, Grigorii I. Shishkin, Francisco J. Lisbona, 2000 .

Numerical techniques for flow problems with singularities

Eugene O'Riordan, Paul A. Farrell, Alan F. Hegarty, 2003 .

A fractional step method on a special mesh for the resolution multidimensional evolutionary convection-diffusion problems

J. C. Jorge, Grigorii I. Shishkin, Francisco J. Lisbona, 1998 .

The Use of Defect Correction for the Solution of Parabolic Singular Perturbation Problems

Grigorii I. Shishkin, P. Hemker, L. Shishkina, 1995 .