Natalia Kopteva
Orcid: 0000-0001-7477-6926
According to our database1,
Natalia Kopteva
authored at least 42 papers
between 2001 and 2024.
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Bibliography
2024
On the solution existence for collocation discretizations of time-fractional subdiffusion equations.
CoRR, 2024
CoRR, 2024
2023
Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations.
SIAM J. Numer. Anal., August, 2023
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations.
J. Comput. Appl. Math., August, 2023
2022
A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations.
J. Sci. Comput., 2022
Green's function estimates for a 2d singularly perturbed convection-diffusion problem: extended analysis.
CoRR, 2022
A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations.
CoRR, 2022
CoRR, 2022
Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign.
Appl. Math. Lett., 2022
Pointwise-in-time a posteriori error control for time-fractional parabolic equations.
Appl. Math. Lett., 2022
2021
Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem.
Math. Comput., 2021
2020
Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions.
SIAM J. Numer. Anal., 2020
Error Analysis for Time-Fractional Semilinear Parabolic Equations Using Upper and Lower Solutions.
SIAM J. Numer. Anal., 2020
Numerische Mathematik, 2020
J. Comput. Appl. Math., 2020
2019
Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions.
Math. Comput., 2019
Logarithm cannot be removed in maximum norm error estimates for linear finite elements in 3D.
Math. Comput., 2019
2018
A two-dimensional slice through the parameter space of two-generator Kleinian groups.
Int. J. Algebra Comput., 2018
2017
Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes.
Numerische Mathematik, 2017
Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem.
Adv. Comput. Math., 2017
Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations.
Adv. Comput. Math., 2017
2016
Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems.
Numerische Mathematik, 2016
2015
Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes.
SIAM J. Numer. Anal., 2015
2014
Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations.
Math. Comput., 2014
2013
Maximum Norm A Posteriori Error Estimation for Parabolic Problems Using Elliptic Reconstructions.
SIAM J. Numer. Anal., 2013
2012
A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem.
Math. Comput., 2012
Maximum Norm a Posteriori Error Estimation For a Time-dependent Reaction-diffusion Problem.
Comput. Methods Appl. Math., 2012
Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012
2011
Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem.
Numerische Mathematik, 2011
Maximum norm a posteriori error estimate for a 3d singularly perturbed semilinear reaction-diffusion problem.
Adv. Comput. Math., 2011
2008
Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem.
SIAM J. Numer. Anal., 2008
Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an <i>L</i>-shaped domain.
Math. Comput., 2008
Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008
2007
Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem.
Math. Comput., 2007
2006
Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions.
Comput. Math. Appl., 2006
2005
Numer. Algorithms, 2005
Int. J. Algebra Comput., 2005
2003
Error Expansion for an Upwind Scheme Applied to a Two-Dimensional Convection-Diffusion Problem.
SIAM J. Numer. Anal., 2003
2001
A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem.
SIAM J. Numer. Anal., 2001
Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem.
SIAM J. Numer. Anal., 2001
Uniform Pointwise Convergence of Difference Schemes for Convection-Diffusion Problems on Layer-Adapted Meshes.
Computing, 2001