| Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation M Stynes, E O'Riordan, JL Gracia SIAM Journal on Numerical Analysis 55 (2), 1057-1079, 2017 | 797 | 2017 |
| Numerical treatment of partial differential equations C Grossmann Springer, 2007 | 686 | 2007 |
| Robust numerical methods for singularly perturbed differential equations HG Roos, M Stynes, L Tobiska Springer Ser. Comput. Math 24, 2008 | 389* | 2008 |
| Steady-state convection-diffusion problems M Stynes Acta Numerica 14, 445-508, 2005 | 264 | 2005 |
| The midpoint upwind scheme M Stynes, HG Roos Applied Numerical Mathematics 23 (3), 361-374, 1997 | 220 | 1997 |
| Asymptotic analysis and Shishkin-type decomposition for an elliptic convection–diffusion problem T Linß, M Stynes Journal of mathematical analysis and applications 261 (2), 604-632, 2001 | 187 | 2001 |
| A robust adaptive method for a quasi-linear one-dimensional convection-diffusion problem N Kopteva, M Stynes SIAM Journal on Numerical Analysis 39 (4), 1446-1467, 2001 | 186 | 2001 |
| A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem M Stynes, E O'Riordan Journal of Mathematical Analysis and Applications 214 (1), 36-54, 1997 | 174 | 1997 |
| A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction–diffusion problems N Madden, M Stynes IMA Journal of Numerical Analysis 23 (4), 627-644, 2003 | 168 | 2003 |
| On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method LP Franca, A Nesliturk, M Stynes Computer Methods in Applied Mechanics and Engineering 166 (1-2), 35-49, 1998 | 163 | 1998 |
| The SDFEM for a convection-diffusion problem with a boundary layer: optimal error analysis and enhancement of accuracy M Stynes, L Tobiska SIAM journal on numerical analysis 41 (5), 1620-1642, 2003 | 160 | 2003 |
| Too much regularity may force too much uniqueness M Stynes Fractional Calculus and Applied Analysis 19 (6), 1554-1562, 2016 | 151 | 2016 |
| Ordinary differential equations R Rab | 150 | 2021 |
| Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem H Chen, M Stynes Journal of Scientific Computing 79, 624-647, 2019 | 126 | 2019 |
| Why fractional derivatives with nonsingular kernels should not be used K Diethelm, R Garrappa, A Giusti, M Stynes Fractional Calculus and Applied Analysis 23 (3), 610-634, 2020 | 123 | 2020 |
| A balanced finite element method for singularly perturbed reaction-diffusion problems R Lin, M Stynes SIAM Journal on Numerical Analysis 50 (5), 2729-2743, 2012 | 108 | 2012 |
| A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions E O’Riordan, M Stynes Mathematics of computation 57 (195), 47-62, 1991 | 108 | 1991 |
| A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion problem E O’Riordan, M Stynes Mathematics of Computation 47 (176), 555-570, 1986 | 108 | 1986 |
| Corner singularities and boundary layers in a simple convection–diffusion problem RB Kellogg, M Stynes Journal of Differential Equations 213 (1), 81-120, 2005 | 105 | 2005 |
| A hybrid difference scheme on a Shishkin mesh for linear convection–diffusion problems T Linß, M Stynes Applied numerical mathematics 31 (3), 255-270, 1999 | 95 | 1999 |
Eugene O'RiordanSchool of Mathematical Sciences, Dublin City UniversityBestätigte E-Mail-Adresse bei dcu.ie
