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ORCIDNatalia Kopteva
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2020 – today
- 2025
[j37]Natalia Kopteva
:
Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations. Appl. Math. Lett. 160: 109306 (2025)- 2024
- [j36]Sebastian Franz, Natalia Kopteva:
On the Solution Existence for Collocation Discretizations of Time-Fractional Subdiffusion Equations. J. Sci. Comput. 100(3): 68 (2024) - [i11]Sebastian Franz, Natalia Kopteva:
Time stepping adaptation for subdiffusion problems with non-smooth right-hand sides. CoRR abs/2401.01586 (2024) - [i10]Sebastian Franz, Natalia Kopteva:
On the solution existence for collocation discretizations of time-fractional subdiffusion equations. CoRR abs/2403.11847 (2024) - [i9]Natalia Kopteva:
Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations. CoRR abs/2408.03420 (2024) - 2023
- [j35]Sebastian Franz, Natalia Kopteva:
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. J. Comput. Appl. Math. 427: 115122 (2023) - [j34]Natalia Kopteva, Richard Rankin:
Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations. SIAM J. Numer. Anal. 61(4): 1938-1961 (2023) - 2022
- [j33]Natalia Kopteva:
Pointwise-in-time a posteriori error control for time-fractional parabolic equations. Appl. Math. Lett. 123: 107515 (2022) - [j32]Natalia Kopteva:
Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign. Appl. Math. Lett. 132: 108209 (2022) - [j31]Natalia Kopteva, Martin Stynes:
A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations. J. Sci. Comput. 92(2): 73 (2022) - [i8]Natalia Kopteva, Martin Stynes:
A posteriori error analysis for variable-coefficient multiterm time-fractional subdiffusion equations. CoRR abs/2202.13357 (2022) - [i7]Alan Demlow, Sebastian Franz, Natalia Kopteva:
Maximum norm a posteriori error estimates for convection-diffusion problems. CoRR abs/2207.08251 (2022) - [i6]Sebastian Franz, Natalia Kopteva:
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. CoRR abs/2211.06272 (2022) - [i5]Torsten Linß, Natalia Kopteva, Goran Radojev, Martin Ossadnik:
A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations. CoRR abs/2212.11540 (2022) - [i4]Sebastian Franz, Natalia Kopteva:
Green's function estimates for a 2d singularly perturbed convection-diffusion problem: extended analysis. CoRR abs/2212.11916 (2022) - 2021
- [j30]Natalia Kopteva:
Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem. Math. Comput. 90(327): 19-40 (2021) - [i3]Natalia Kopteva:
Pointwise-in-time a posteriori error control for time-fractional parabolic equations. CoRR abs/2105.05848 (2021) - 2020
- [j29]Natalia Kopteva:
How accurate are finite elements on anisotropic triangulations in the maximum norm? J. Comput. Appl. Math. 364 (2020) - [j28]Natalia Kopteva:
Lower a posteriori error estimates on anisotropic meshes. Numerische Mathematik 146(1): 159-179 (2020) - [j27]Natalia Kopteva, Xiangyun Meng:
Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions. SIAM J. Numer. Anal. 58(2): 1217-1238 (2020) - [j26]Natalia Kopteva:
Error Analysis for Time-Fractional Semilinear Parabolic Equations Using Upper and Lower Solutions. SIAM J. Numer. Anal. 58(4): 2212-2234 (2020) - [i2]Natalia Kopteva:
Error analysis for time-fractional semilinear parabolic equations using upper and lower solutions. CoRR abs/2001.04452 (2020)
2010 – 2019
- 2019
- [j25]Natalia Kopteva:
Logarithm cannot be removed in maximum norm error estimates for linear finite elements in 3D. Math. Comput. 88(318): 1527-1532 (2019) - [j24]Natalia Kopteva:
Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions. Math. Comput. 88(319): 2135-2155 (2019) - [i1]Natalia Kopteva:
Lower a posteriori error estimates on anisotropic meshes. CoRR abs/1906.05703 (2019) - 2018
- [j23]Elena Klimenko, Natalia Kopteva:
A two-dimensional slice through the parameter space of two-generator Kleinian groups. Int. J. Algebra Comput. 28(8): 1535-1564 (2018) - 2017
- [j22]Natalia Kopteva, Martin Stynes:
Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Adv. Comput. Math. 43(1): 77-99 (2017) - [j21]Natalia Kopteva, Torsten Linß:
Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations. Adv. Comput. Math. 43(5): 999-1022 (2017) - [j20]Natalia Kopteva:
Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes. Numerische Mathematik 137(3): 607-642 (2017) - 2016
- [j19]Alan Demlow, Natalia Kopteva:
Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems. Numerische Mathematik 133(4): 707-742 (2016) - 2015
- [j18]Natalia Kopteva:
Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes. SIAM J. Numer. Anal. 53(6): 2519-2544 (2015) - 2014
- [j17]Natalia Kopteva:
Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations. Math. Comput. 83(289): 2061-2070 (2014) - 2013
- [j16]Natalia Kopteva, Torsten Linß:
Maximum Norm A Posteriori Error Estimation for Parabolic Problems Using Elliptic Reconstructions. SIAM J. Numer. Anal. 51(3): 1494-1524 (2013) - 2012
- [j15]Natalia Kopteva, Torsten Linß:
Maximum Norm a Posteriori Error Estimation For a Time-dependent Reaction-diffusion Problem. Comput. Methods Appl. Math. 12(2): 189-205 (2012) - [j14]Natalia Kopteva, Maria Pickett:
A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem. Math. Comput. 81(277): 81-105 (2012) - [c2]Natalia Kopteva, Torsten Linß:
Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems. NAA 2012: 50-61 - 2011
- [j13]Naresh M. Chadha, Natalia Kopteva:
Maximum norm a posteriori error estimate for a 3d singularly perturbed semilinear reaction-diffusion problem. Adv. Comput. Math. 35(1): 33-55 (2011) - [j12]Natalia Kopteva, Martin Stynes:
Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem. Numerische Mathematik 119(4): 787-810 (2011)
2000 – 2009
- 2008
- [j11]Vladimir B. Andreev, Natalia Kopteva:
Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an L-shaped domain. Math. Comput. 77(264): 2125-2139 (2008) - [j10]Natalia Kopteva:
Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem. SIAM J. Numer. Anal. 46(3): 1602-1618 (2008) - [c1]Natalia Kopteva:
Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem. NAA 2008: 80-91 - 2007
- [j9]Natalia Kopteva:
Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem. Math. Comput. 76(258): 631-646 (2007) - [j8]Andrew C. Fowler, Natalia Kopteva, Charles Oakley:
The Formation of River Channels. SIAM J. Appl. Math. 67(4): 1016-1040 (2007) - 2006
- [j7]Martin Stynes, Natalia Kopteva:
Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions. Comput. Math. Appl. 51(5): 857-864 (2006) - 2005
- [j6]Elena Klimenko, Natalia Kopteva:
All Discrete RP Groups Whose Generators have Real Traces. Int. J. Algebra Comput. 15(3): 577-618 (2005) - [j5]Natalia Kopteva, Niall Madden, Martin Stynes:
Grid equidistribution for reaction-diffusion problems in one dimension. Numer. Algorithms 40(3): 305-322 (2005) - 2003
- [j4]Natalia Kopteva:
Error Expansion for an Upwind Scheme Applied to a Two-Dimensional Convection-Diffusion Problem. SIAM J. Numer. Anal. 41(5): 1851-1869 (2003) - 2001
- [j3]Natalia Kopteva:
Uniform Pointwise Convergence of Difference Schemes for Convection-Diffusion Problems on Layer-Adapted Meshes. Computing 66(2): 179-197 (2001) - [j2]Natalia Kopteva:
Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem. SIAM J. Numer. Anal. 39(2): 423-441 (2001) - [j1]Natalia Kopteva, Martin Stynes:
A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem. SIAM J. Numer. Anal. 39(4): 1446-1467 (2001)
Coauthor Index
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