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Natalia Kopteva
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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
2102019
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
1872001
Shishkin meshes in the numerical solution of singularly perturbed differential equations
N Kopteva, E O'Riordan
University of Limerick, 2010
1372010
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
1032001
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
742020
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
672010
Grid equidistribution for reaction–diffusion problems in one dimension
N Kopteva, N Madden, M Stynes
Numerical Algorithms 40, 305-322, 2005
602005
Approximation of derivatives in a convection–diffusion two-point boundary value problem
N Kopteva, M Stynes
Applied numerical mathematics 39 (1), 47-60, 2001
602001
The formation of river channels
AC Fowler, N Kopteva, C Oakley
SIAM Journal on Applied Mathematics 67 (4), 1016-1040, 2007
592007
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
581998
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
572021
Steady rimming flows with surface tension
ES Benilov, MS Benilov, N Kopteva
Journal of Fluid mechanics 597, 91-118, 2008
572008
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
512015
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
492007
Maximum norm a posteriori error estimate for a 2d singularly perturbed semilinear reaction-diffusion problem
N Kopteva
SIAM Journal of Numerical analysis, 2008
472008
Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem
N Kopteva
Mathematics of Computation 76 (258), 631-646, 2007
432007
Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems
A Demlow, N Kopteva
Numerische Mathematik 133, 707-742, 2016
422016
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
422011
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