| Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions N Kopteva Mathematics of Computation 88 (319), 2135-2155, 2019 | 190 | 2019 |
| 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 | 187 | 2001 |
| SHISHKIN MESHES IN THE NUMERICAL SOLUTION OF SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS. N Kopteva, E O'Riordan International Journal of Numerical Analysis & Modeling 7 (3), 2010 | 134 | 2010 |
| Maximum norm a posteriori error estimates for a one-dimensional convection-diffusion problem N Kopteva SIAM Journal on numerical analysis 39 (2), 423-441, 2001 | 101 | 2001 |
| Numerical analysis of a singularly perturbed nonlinear reaction–diffusion problem with multiple solutions N Kopteva, M Stynes Applied numerical mathematics 51 (2-3), 273-288, 2004 | 68* | 2004 |
| A singularly perturbed semilinear reaction–diffusion problem in a polygonal domain RB Kellogg, N Kopteva Journal of Differential Equations 248 (1), 184-208, 2010 | 66 | 2010 |
| Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions N Kopteva, X Meng SIAM Journal on Numerical Analysis 58 (2), 1217-1238, 2020 | 62 | 2020 |
| Grid equidistribution for reaction–diffusion problems in one dimension N Kopteva, N Madden, M Stynes Numerical Algorithms 40, 305-322, 2005 | 62 | 2005 |
| The formation of river channels AC Fowler, N Kopteva, C Oakley SIAM Journal on Applied Mathematics 67 (4), 1016-1040, 2007 | 61 | 2007 |
| Approximation of derivatives in a convection–diffusion two-point boundary value problem N Kopteva, M Stynes Applied numerical mathematics 39 (1), 47-60, 2001 | 59 | 2001 |
| On the convergence, uniform with respect to a small parameter, of monotone three-point finite-difference approximations VB Andreev, NV Kopteva Differential Equations 34 (7), 921-929, 1998 | 57 | 1998 |
| Steady rimming flows with surface tension ES Benilov, MS Benilov, N Kopteva Journal of Fluid mechanics 597, 91-118, 2008 | 53 | 2008 |
| A study of difference schemes with the first derviative approximated by a central difference ratio VB Andreyev, NV Kopteva Computational mathematics and mathematical physics 36 (8), 1065-1078, 1996 | 53* | 1996 |
| An efficient collocation method for a Caputo two-point boundary value problem N Kopteva, M Stynes BIT Numerical Mathematics 55, 1105-1123, 2015 | 51 | 2015 |
| Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction–diffusion problem N Kopteva IMA journal of numerical analysis 27 (3), 576-592, 2007 | 49 | 2007 |
| Maximum norm a posteriori error estimate for a 2d singularly perturbed semilinear reaction-diffusion problem N Kopteva SIAM Journal of Numerical analysis, 2008 | 47 | 2008 |
| Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem N Kopteva Mathematics of Computation 90 (327), 19-40, 2021 | 46 | 2021 |
| Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem N Kopteva Mathematics of Computation 76 (258), 631-646, 2007 | 44 | 2007 |
| Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems A Demlow, N Kopteva Numerische Mathematik 133, 707-742, 2016 | 42 | 2016 |
| A robust grid equidistribution method for a one-dimensional singularly perturbed semilinear reaction–diffusion problem NM Chadha, N Kopteva IMA journal of numerical analysis 31 (1), 188-211, 2011 | 42 | 2011 |
Martin StynesChair Professor, Beijing Computational Science Research CenterVerified email at ucc.ie
