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 | 210 | 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 University of Limerick, 2010 | 137 | 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 | 103 | 2001 |
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 | 74 | 2020 |
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 | 69* | 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 | 67 | 2010 |
Grid equidistribution for reaction–diffusion problems in one dimension N Kopteva, N Madden, M Stynes Numerical Algorithms 40, 305-322, 2005 | 60 | 2005 |
Approximation of derivatives in a convection–diffusion two-point boundary value problem N Kopteva, M Stynes Applied numerical mathematics 39 (1), 47-60, 2001 | 60 | 2001 |
The formation of river channels AC Fowler, N Kopteva, C Oakley SIAM Journal on Applied Mathematics 67 (4), 1016-1040, 2007 | 59 | 2007 |
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 | 58 | 1998 |
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 | 57 | 2021 |
Steady rimming flows with surface tension ES Benilov, MS Benilov, N Kopteva Journal of Fluid mechanics 597, 91-118, 2008 | 57 | 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 | 52* | 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 |
Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem N Kopteva Mathematics of Computation 76 (258), 631-646, 2007 | 43 | 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 |