G. I. Shishkin

Best Publications

• Robust Computational Techniques for Boundary Layers

  Paul Farrell;Alan Hegarty;John M. Miller;Eugene O'Riordan

  1271
  Citations

• Fitted Numerical Methods for Singular Perturbation Problems

  Unknown

  848
  Citations

• Fitted Numerical Methods For Singular Perturbation Problems

  Unknown

  210
  Citations

• Difference Methods for Singular Perturbation Problems

  Unknown

  148
  Citations

• A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations

  Unknown

  148
  Citations

• A numerical method for a system of singularly perturbed reaction-diffusion equations

  S. Matthews;E. O'Riordan;G. I. Shishkin

  138
  Citations

• Singularly perturbed convection-diffusion problems with boundary and weak interior layers

  P. A. Farrell;A. F. Hegarty;J. J. H. Miller;E. O'Riordan

  124
  Citations

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

  P. A. Farrell;A. F. Hegarty;J. J. H. Miller;E. O'Riordan

  111
  Citations

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

  Eugene O'Riordan;M. L. Pickett;Grigorii I. Shishkin

  102
  Citations

• FITTED MESH METHODS FOR PROBLEMS WITH PARABOLIC BOUNDARY LAYERS

  Unknown

  97
  Citations

• Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer

  Unknown

  90
  Citations

• On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems

  J. J. H. Miller;E. O'riordan;G. I. Shishkin

  88
  Citations

• Singularly perturbed parabolic problems with non-smooth data

  E. O'Riordan;G. I. Shishkin

  78
  Citations

• A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation

  Paul A. Farrell;John J. H. Miller;Eugene O'Riordan;Grigori I. Shishkin

  70
  Citations

• Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes

  Unknown

  70
  Citations

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

  Unknown

  66
  Citations

• A difference scheme for a singularly perturbed equation of parabolic type with discontinuous boundary conditions

  Unknown

  65
  Citations

• Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers

  Alan F. Hegarty;John J. H. Miller;Eugene O'Riordan;G. I. Shishkin

  61
  Citations

• Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations

  Unknown

  58
  Citations

• Fitted Numerical Methods for Singular Perturbation Problems

  Unknown

  49
  Citations