Uniform Pointwise Convergence of Difference Schemes for Convection-Diffusion Problems on Layer-Adapted Meshes. - Natalia Kopteva (Computing, 2001)

Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem. - Natalia Kopteva (SIAM J. Numer. Anal., 2001)

A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem. - Natalia Kopteva; Martin Stynes (SIAM J. Numer. Anal., 2001)

Error Expansion for an Upwind Scheme Applied to a Two-Dimensional Convection-Diffusion Problem. - Natalia Kopteva (SIAM J. Numer. Anal., 2003)

All Discrete RP Groups Whose Generators have Real Traces. - Elena Klimenko; Natalia Kopteva (Int. J. Algebra Comput., 2005)

Grid equidistribution for reaction-diffusion problems in one dimension. - Natalia Kopteva; Niall Madden; Martin Stynes (Numer. Algorithms, 2005)

Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions. - Martin Stynes; Natalia Kopteva (Comput. Math. Appl., 2006)

Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem. - Natalia Kopteva (Math. Comput., 2007)

The Formation of River Channels. - Andrew C. Fowler; Natalia Kopteva; Charles Oakley (SIAM J. Appl. Math., 2007)

Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem. - Natalia Kopteva (NAA, 2008)

Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an L-shaped domain. - Vladimir B. Andreev; Natalia Kopteva (Math. Comput., 2008)

Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem. - Natalia Kopteva (SIAM J. Numer. Anal., 2008)

Maximum norm a posteriori error estimate for a 3d singularly perturbed semilinear reaction-diffusion problem. - Naresh M. Chadha; Natalia Kopteva (Adv. Comput. Math., 2011)

Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem. - Natalia Kopteva; Martin Stynes (Numerische Mathematik, 2011)

Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems. - Natalia Kopteva; Torsten Linß (NAA, 2012)

Maximum Norm a Posteriori Error Estimation For a Time-dependent Reaction-diffusion Problem. - Natalia Kopteva; Torsten Linß (Comput. Methods Appl. Math., 2012)

A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem. - Natalia Kopteva; Maria Pickett (Math. Comput., 2012)

Maximum Norm A Posteriori Error Estimation for Parabolic Problems Using Elliptic Reconstructions. - Natalia Kopteva; Torsten Linß (SIAM J. Numer. Anal., 2013)

Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations. - Natalia Kopteva (Math. Comput., 2014)

Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes. - Natalia Kopteva (SIAM J. Numer. Anal., 2015)

Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems. - Alan Demlow; Natalia Kopteva (Numerische Mathematik, 2016)

Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations. - Natalia Kopteva; Torsten Linß (Adv. Comput. Math., 2017)

Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. - Natalia Kopteva; Martin Stynes (Adv. Comput. Math., 2017)

Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes. - Natalia Kopteva (Numerische Mathematik, 2017)

A two-dimensional slice through the parameter space of two-generator Kleinian groups. - Elena Klimenko; Natalia Kopteva (Int. J. Algebra Comput., 2018)

Logarithm cannot be removed in maximum norm error estimates for linear finite elements in 3D. - Natalia Kopteva (Math. Comput., 2019)

Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions. - Natalia Kopteva (Math. Comput., 2019)

How accurate are finite elements on anisotropic triangulations in the maximum norm? - Natalia Kopteva (J. Comput. Appl. Math., 2020)

Lower a posteriori error estimates on anisotropic meshes. - Natalia Kopteva (Numerische Mathematik, 2020)

Error Analysis for Time-Fractional Semilinear Parabolic Equations Using Upper and Lower Solutions. - Natalia Kopteva (SIAM J. Numer. Anal., 2020)

Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions. - Natalia Kopteva; Xiangyun Meng (SIAM J. Numer. Anal., 2020)

Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem. - Natalia Kopteva (Math. Comput., 2021)

Pointwise-in-time a posteriori error control for time-fractional parabolic equations. - Natalia Kopteva (Appl. Math. Lett., 2022)

Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign. - Natalia Kopteva (Appl. Math. Lett., 2022)

Maximum norm a posteriori error estimates for convection-diffusion problems. - Alan Demlow; Sebastian Franz; Natalia Kopteva (CoRR, 2022)

A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations. - Torsten Linß; Natalia Kopteva; Goran Radojev; Martin Ossadnik (CoRR, 2022)

Green's function estimates for a 2d singularly perturbed convection-diffusion problem: extended analysis. - Sebastian Franz; Natalia Kopteva (CoRR, 2022)

A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations. - Natalia Kopteva; Martin Stynes (J. Sci. Comput., 2022)

Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. - Sebastian Franz; Natalia Kopteva (J. Comput. Appl. Math., 2023)

Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations. - Natalia Kopteva; Richard Rankin (SIAM J. Numer. Anal., 2023)

Time stepping adaptation for subdiffusion problems with non-smooth right-hand sides. - Sebastian Franz; Natalia Kopteva (CoRR, 2024)

On the Solution Existence for Collocation Discretizations of Time-Fractional Subdiffusion Equations. - Sebastian Franz; Natalia Kopteva (J. Sci. Comput., 2024)

Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations. - Natalia Kopteva (Appl. Math. Lett., 2025)

Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes. - Natalia Kopteva; Sean Kelly (CoRR, 2025)