Natalia Kopteva

52 papers Journal 50Unranked 2

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Well-posedness and time stepping adaptivity for a class of collocation discretisations of time-fractional subdiffusion equations. CoRR Sebastian Franz, Natalia Kopteva
2025	J	`jnl`	Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations. Appl. Math. Lett. Natalia Kopteva
2025	J	`jnl`	Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes. CoRR Natalia Kopteva, Sean Kelly
2024	J	`jnl`	Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations. CoRR Natalia Kopteva
2024	J	`jnl`	On the Solution Existence for Collocation Discretizations of Time-Fractional Subdiffusion Equations. J. Sci. Comput. Sebastian Franz, Natalia Kopteva
2024	J	`jnl`	On the solution existence for collocation discretizations of time-fractional subdiffusion equations. CoRR Sebastian Franz, Natalia Kopteva
2024	J	`jnl`	Time stepping adaptation for subdiffusion problems with non-smooth right-hand sides. CoRR Sebastian Franz, Natalia Kopteva
2023	J	`jnl`	Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations. SIAM J. Numer. Anal. Natalia Kopteva, Richard Rankin
2023	J	`jnl`	Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. J. Comput. Appl. Math. Sebastian Franz, Natalia Kopteva
2022	J	`jnl`	A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations. J. Sci. Comput. Natalia Kopteva, Martin Stynes
2022	J	`jnl`	A posteriori error analysis for variable-coefficient multiterm time-fractional subdiffusion equations. CoRR Natalia Kopteva, Martin Stynes
2022	J	`jnl`	A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations. CoRR Torsten Linß, Natalia Kopteva, Goran Radojev, Martin Ossadnik
2022	J	`jnl`	Green's function estimates for a 2d singularly perturbed convection-diffusion problem: extended analysis. CoRR Sebastian Franz, Natalia Kopteva
2022	J	`jnl`	Maximum norm a posteriori error estimates for convection-diffusion problems. CoRR Alan Demlow, Sebastian Franz, Natalia Kopteva
2022	J	`jnl`	Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign. Appl. Math. Lett. Natalia Kopteva
2022	J	`jnl`	Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. CoRR Sebastian Franz, Natalia Kopteva
2022	J	`jnl`	Pointwise-in-time a posteriori error control for time-fractional parabolic equations. Appl. Math. Lett. Natalia Kopteva
2021	J	`jnl`	Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem. Math. Comput. Natalia Kopteva
2021	J	`jnl`	Pointwise-in-time a posteriori error control for time-fractional parabolic equations. CoRR Natalia Kopteva
2020	J	`jnl`	Error Analysis for Time-Fractional Semilinear Parabolic Equations Using Upper and Lower Solutions. SIAM J. Numer. Anal. Natalia Kopteva
2020	J	`jnl`	Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions. SIAM J. Numer. Anal. Natalia Kopteva, Xiangyun Meng
2020	J	`jnl`	Error analysis for time-fractional semilinear parabolic equations using upper and lower solutions. CoRR Natalia Kopteva
2020	J	`jnl`	How accurate are finite elements on anisotropic triangulations in the maximum norm? J. Comput. Appl. Math. Natalia Kopteva
2020	J	`jnl`	Lower a posteriori error estimates on anisotropic meshes. Numerische Mathematik Natalia Kopteva
2019	J	`jnl`	Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions. Math. Comput. Natalia Kopteva
2019	J	`jnl`	Logarithm cannot be removed in maximum norm error estimates for linear finite elements in 3D. Math. Comput. Natalia Kopteva
2019	J	`jnl`	Lower a posteriori error estimates on anisotropic meshes. CoRR Natalia Kopteva
2018	J	`jnl`	A two-dimensional slice through the parameter space of two-generator Kleinian groups. Int. J. Algebra Comput. Elena Klimenko, Natalia Kopteva
2017	J	`jnl`	Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Adv. Comput. Math. Natalia Kopteva, Martin Stynes
2017	J	`jnl`	Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes. Numerische Mathematik Natalia Kopteva
2017	J	`jnl`	Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations. Adv. Comput. Math. Natalia Kopteva, Torsten Linß
2016	J	`jnl`	Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems. Numerische Mathematik Alan Demlow, Natalia Kopteva
2015	J	`jnl`	Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes. SIAM J. Numer. Anal. Natalia Kopteva
2014	J	`jnl`	Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations. Math. Comput. Natalia Kopteva
2013	J	`jnl`	Maximum Norm A Posteriori Error Estimation for Parabolic Problems Using Elliptic Reconstructions. SIAM J. Numer. Anal. Natalia Kopteva, Torsten Linß
2012	J	`jnl`	A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem. Math. Comput. Natalia Kopteva, Maria Pickett
2012	J	`jnl`	Maximum Norm a Posteriori Error Estimation For a Time-dependent Reaction-diffusion Problem. Comput. Methods Appl. Math. Natalia Kopteva, Torsten Linß
2012	—	`conf`	Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems. NAA Natalia Kopteva, Torsten Linß
2011	J	`jnl`	Maximum norm a posteriori error estimate for a 3d singularly perturbed semilinear reaction-diffusion problem. Adv. Comput. Math. Naresh M. Chadha, Natalia Kopteva
2011	J	`jnl`	Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem. Numerische Mathematik Natalia Kopteva, Martin Stynes
2008	J	`jnl`	Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem. SIAM J. Numer. Anal. Natalia Kopteva
2008	—	`conf`	Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem. NAA Natalia Kopteva
2008	J	`jnl`	Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an Math. Comput. Vladimir B. Andreev, Natalia Kopteva
2007	J	`jnl`	Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem. Math. Comput. Natalia Kopteva
2007	J	`jnl`	The Formation of River Channels. SIAM J. Appl. Math. Andrew C. Fowler, Natalia Kopteva, Charles Oakley
2006	J	`jnl`	Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions. Comput. Math. Appl. Martin Stynes, Natalia Kopteva
2005	J	`jnl`	All Discrete Int. J. Algebra Comput. Elena Klimenko, Natalia Kopteva
2005	J	`jnl`	Grid equidistribution for reaction-diffusion problems in one dimension. Numer. Algorithms Natalia Kopteva, Niall Madden, Martin Stynes
2003	J	`jnl`	Error Expansion for an Upwind Scheme Applied to a Two-Dimensional Convection-Diffusion Problem. SIAM J. Numer. Anal. Natalia Kopteva
2001	J	`jnl`	A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem. SIAM J. Numer. Anal. Natalia Kopteva, Martin Stynes
2001	J	`jnl`	Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem. SIAM J. Numer. Anal. Natalia Kopteva
2001	J	`jnl`	Uniform Pointwise Convergence of Difference Schemes for Convection-Diffusion Problems on Layer-Adapted Meshes. Computing Natalia Kopteva