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Kopteva, Natalia Viktorovna

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Author ID: kopteva.natalia.1 Recent zbMATH articles by "Kopteva, Natalia Viktorovna"
Published as: Kopteva, Natalia; Kopteva, N. V.; Kopteva, N.
Homepage: http://www.staff.ul.ie/natalia/
External Links: MGP · Math-Net.Ru · ResearchGate
Documents Indexed: 53 Publications since 1996, including 1 Book

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 513 times in 332 Documents Cited by Year
A robust adaptive method for a quasi-linear one-dimensional convection-diffusion problem. Zbl 1012.65076
Kopteva, Natalia; Stynes, Martin
46
2001
Error analysis of the \(L1\) method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions. Zbl 1417.65152
Kopteva, Natalia
39
2019
Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Zbl 1381.65057
Kopteva, Natalia; Stynes, Martin
30
2017
Maximum norm a posteriori error estimates for a one-dimensional convection-diffusion problem. Zbl 1003.65091
Kopteva, Natalia
27
2001
Shishkin meshes in the numerical solution of singularly perturbed differential equations. Zbl 1197.65094
Kopteva, Natalia; O’Riordan, Eugene
26
2010
An efficient collocation method for a Caputo two-point boundary value problem. Zbl 1337.65088
Kopteva, Natalia; Stynes, Martin
25
2015
Maximum norm error analysis of a 2D singularly perturbed semilinear reaction-diffusion problem. Zbl 1113.65100
Kopteva, Natalia
18
2007
Grid equidistribution for reaction-diffusion problems in one dimension. Zbl 1089.65077
Kopteva, Natalia; Madden, Niall; Stynes, Martin
17
2005
Approximation of derivatives in a convection-diffusion two-point boundary value problem. Zbl 0987.65069
Kopteva, Natalia; Stynes, Martin
16
2001
Steady rimming flows with surface tension. Zbl 1133.76004
Benilov, E. S.; Benilov, M. S.; Kopteva, N.
16
2008
Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems. Zbl 1376.65138
Demlow, Alan; Kopteva, Natalia
15
2016
Error expansion for an upwind scheme applied to a two-dimensional convection-diffusion problem. Zbl 1055.65119
Kopteva, Natalia
14
2003
Numerical analysis of a singularly perturbed nonlinear reaction-diffusion problem with multiple solutions. Zbl 1069.65087
Kopteva, Natalia; Stynes, Martin
14
2004
On the convergence, uniform with respect to a small parameter, of monotone three-point finite-difference approximations. Zbl 0966.76059
Andreev, V. B.; Kopteva, N. V.
14
1998
How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers? Zbl 1112.76392
Kopteva, Natalia
11
2004
Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem. Zbl 1232.65109
Kopteva, Natalia; Stynes, Martin
11
2011
Uniform pointwise convergence of difference schemes for convection-diffusion problems on layer-adapted meshes. Zbl 0978.65075
Kopteva, N.
11
2001
Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem. Zbl 1149.65066
Kopteva, Natalia
11
2007
Maximum norm a posteriori error estimate for a 2D singularly perturbed semilinear reaction-diffusion problem. Zbl 1168.65062
Kopteva, Natalia
11
2008
Green’s function estimates for a singularly perturbed convection-diffusion problem. Zbl 1235.35087
Franz, Sebastian; Kopteva, Natalia
10
2012
A study of difference schemes with the first derivative approximated by a central difference ratio. Zbl 0911.65068
Andreev, V. B.; Kopteva, N. V.
10
1996
A robust grid equidistribution method for a one-dimensional singularly perturbed semilinear reaction-diffusion problem. Zbl 1211.65099
Chadha, Naresh M.; Kopteva, Natalia
10
2011
Uniform second-order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem. Zbl 1103.65320
Kopteva, Natalia; Linß, Torsten
9
2001
Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions. Zbl 1281.65121
Kopteva, Natalia; Linss, Torsten
9
2013
Pointwise error estimates for a singularly perturbed time-dependent semilinear reaction-diffusion problem. Zbl 1219.65096
Kopteva, Natalia; Savescu, Simona Blanca
8
2011
Uniform convergence with respect to a small parameter of a scheme with central difference on refining grids. Zbl 0977.65064
Kopteva, N. V.
8
1999
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain. Zbl 1184.35022
Kellogg, R. Bruce; Kopteva, Natalia
8
2010
Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an L-shaped domain. Zbl 1198.65207
Andreev, Vladimir B.; Kopteva, Natalia
8
2008
Maximum norm a posteriori error estimate for a 3D singularly perturbed semilinear reaction-diffusion problem. Zbl 1319.65105
Chadha, Naresh M.; Kopteva, Natalia
6
2011
Maximum-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes. Zbl 1330.65164
Kopteva, Natalia
6
2015
The formation of river channels. Zbl 1117.86002
Fowler, A. C.; Kopteva, Natalia; Oakley, Charles
5
2007
Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations. Zbl 1301.65122
Kopteva, Natalia
5
2014
Does surface tension stabilize liquid films inside a rotating horizontal cylinder? Zbl 1073.76035
Benilov, E. S.; Kopteva, N.; O’Brien, S. B. G.
4
2005
Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes. Zbl 1379.65084
Kopteva, Natalia
4
2017
Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions. Zbl 1134.65356
Stynes, M.; Kopteva, N.
4
2006
Numerical analysis of a 2D singularly perturbed semilinear reaction-diffusion problem. Zbl 1233.65081
Kopteva, Natalia
4
2009
Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions. Zbl 07190350
Kopteva, Natalia; Meng, Xiangyun
3
2020
On the uniform in small parameter convergence of a weighted scheme for the one-dimensional time-dependent convection-diffusion equation. Zbl 1122.76353
Kopteva, N. V.
3
1997
Uniform convergence with respect to a small parameter of a four-point scheme for the one-dimensional stationary convection-diffusion equation. Zbl 0888.65086
Kopteva, N. V.
3
1996
Green function estimates for a singularly perturbed convection- diffusion problem in three dimensions. Zbl 1246.35073
Franz, Sebastian; Kopteva, Natalia
3
2011
Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations. Zbl 1378.65167
Kopteva, Natalia; Linß, Torsten
2
2017
How accurate are finite elements on anisotropic triangulations in the maximum norm? Zbl 1431.65203
Kopteva, Natalia
2
2020
Maximum norm a posteriori error estimation for a time-dependent reaction-diffusion problem. Zbl 1284.65120
Kopteva, Natalia; Linß, Torsten
2
2012
Numerical study of maximum norm a posteriori error estimates for singularly perturbed parabolic problems. Zbl 1352.65354
Kopteva, Natalia; Linß, Torsten
2
2013
A posteriori error estimation for a defect-correction method applied to convection-diffusion problems. Zbl 1197.65100
Linss, Torsten; Kopteva, Natalia
2
2010
The two-dimensional Sobolev inequality in the case of an arbitrary grid. Zbl 0960.41024
Kopteva, N. V.
1
1998
Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions. Zbl 07190350
Kopteva, Natalia; Meng, Xiangyun
3
2020
How accurate are finite elements on anisotropic triangulations in the maximum norm? Zbl 1431.65203
Kopteva, Natalia
2
2020
Error analysis of the \(L1\) method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions. Zbl 1417.65152
Kopteva, Natalia
39
2019
Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Zbl 1381.65057
Kopteva, Natalia; Stynes, Martin
30
2017
Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes. Zbl 1379.65084
Kopteva, Natalia
4
2017
Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations. Zbl 1378.65167
Kopteva, Natalia; Linß, Torsten
2
2017
Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems. Zbl 1376.65138
Demlow, Alan; Kopteva, Natalia
15
2016
An efficient collocation method for a Caputo two-point boundary value problem. Zbl 1337.65088
Kopteva, Natalia; Stynes, Martin
25
2015
Maximum-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes. Zbl 1330.65164
Kopteva, Natalia
6
2015
Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations. Zbl 1301.65122
Kopteva, Natalia
5
2014
Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions. Zbl 1281.65121
Kopteva, Natalia; Linss, Torsten
9
2013
Numerical study of maximum norm a posteriori error estimates for singularly perturbed parabolic problems. Zbl 1352.65354
Kopteva, Natalia; Linß, Torsten
2
2013
Green’s function estimates for a singularly perturbed convection-diffusion problem. Zbl 1235.35087
Franz, Sebastian; Kopteva, Natalia
10
2012
Maximum norm a posteriori error estimation for a time-dependent reaction-diffusion problem. Zbl 1284.65120
Kopteva, Natalia; Linß, Torsten
2
2012
Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem. Zbl 1232.65109
Kopteva, Natalia; Stynes, Martin
11
2011
A robust grid equidistribution method for a one-dimensional singularly perturbed semilinear reaction-diffusion problem. Zbl 1211.65099
Chadha, Naresh M.; Kopteva, Natalia
10
2011
Pointwise error estimates for a singularly perturbed time-dependent semilinear reaction-diffusion problem. Zbl 1219.65096
Kopteva, Natalia; Savescu, Simona Blanca
8
2011
Maximum norm a posteriori error estimate for a 3D singularly perturbed semilinear reaction-diffusion problem. Zbl 1319.65105
Chadha, Naresh M.; Kopteva, Natalia
6
2011
Green function estimates for a singularly perturbed convection- diffusion problem in three dimensions. Zbl 1246.35073
Franz, Sebastian; Kopteva, Natalia
3
2011
Shishkin meshes in the numerical solution of singularly perturbed differential equations. Zbl 1197.65094
Kopteva, Natalia; O’Riordan, Eugene
26
2010
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain. Zbl 1184.35022
Kellogg, R. Bruce; Kopteva, Natalia
8
2010
A posteriori error estimation for a defect-correction method applied to convection-diffusion problems. Zbl 1197.65100
Linss, Torsten; Kopteva, Natalia
2
2010
Numerical analysis of a 2D singularly perturbed semilinear reaction-diffusion problem. Zbl 1233.65081
Kopteva, Natalia
4
2009
Steady rimming flows with surface tension. Zbl 1133.76004
Benilov, E. S.; Benilov, M. S.; Kopteva, N.
16
2008
Maximum norm a posteriori error estimate for a 2D singularly perturbed semilinear reaction-diffusion problem. Zbl 1168.65062
Kopteva, Natalia
11
2008
Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an L-shaped domain. Zbl 1198.65207
Andreev, Vladimir B.; Kopteva, Natalia
8
2008
Maximum norm error analysis of a 2D singularly perturbed semilinear reaction-diffusion problem. Zbl 1113.65100
Kopteva, Natalia
18
2007
Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem. Zbl 1149.65066
Kopteva, Natalia
11
2007
The formation of river channels. Zbl 1117.86002
Fowler, A. C.; Kopteva, Natalia; Oakley, Charles
5
2007
Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions. Zbl 1134.65356
Stynes, M.; Kopteva, N.
4
2006
Grid equidistribution for reaction-diffusion problems in one dimension. Zbl 1089.65077
Kopteva, Natalia; Madden, Niall; Stynes, Martin
17
2005
Does surface tension stabilize liquid films inside a rotating horizontal cylinder? Zbl 1073.76035
Benilov, E. S.; Kopteva, N.; O’Brien, S. B. G.
4
2005
Numerical analysis of a singularly perturbed nonlinear reaction-diffusion problem with multiple solutions. Zbl 1069.65087
Kopteva, Natalia; Stynes, Martin
14
2004
How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers? Zbl 1112.76392
Kopteva, Natalia
11
2004
Error expansion for an upwind scheme applied to a two-dimensional convection-diffusion problem. Zbl 1055.65119
Kopteva, Natalia
14
2003
A robust adaptive method for a quasi-linear one-dimensional convection-diffusion problem. Zbl 1012.65076
Kopteva, Natalia; Stynes, Martin
46
2001
Maximum norm a posteriori error estimates for a one-dimensional convection-diffusion problem. Zbl 1003.65091
Kopteva, Natalia
27
2001
Approximation of derivatives in a convection-diffusion two-point boundary value problem. Zbl 0987.65069
Kopteva, Natalia; Stynes, Martin
16
2001
Uniform pointwise convergence of difference schemes for convection-diffusion problems on layer-adapted meshes. Zbl 0978.65075
Kopteva, N.
11
2001
Uniform second-order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem. Zbl 1103.65320
Kopteva, Natalia; Linß, Torsten
9
2001
Uniform convergence with respect to a small parameter of a scheme with central difference on refining grids. Zbl 0977.65064
Kopteva, N. V.
8
1999
On the convergence, uniform with respect to a small parameter, of monotone three-point finite-difference approximations. Zbl 0966.76059
Andreev, V. B.; Kopteva, N. V.
14
1998
The two-dimensional Sobolev inequality in the case of an arbitrary grid. Zbl 0960.41024
Kopteva, N. V.
1
1998
On the uniform in small parameter convergence of a weighted scheme for the one-dimensional time-dependent convection-diffusion equation. Zbl 1122.76353
Kopteva, N. V.
3
1997
A study of difference schemes with the first derivative approximated by a central difference ratio. Zbl 0911.65068
Andreev, V. B.; Kopteva, N. V.
10
1996
Uniform convergence with respect to a small parameter of a four-point scheme for the one-dimensional stationary convection-diffusion equation. Zbl 0888.65086
Kopteva, N. V.
3
1996
all top 5

Cited by 414 Authors

26 Stynes, Martin
22 Kopteva, Natalia Viktorovna
17 Linß, Torsten
15 Liu, Li-Bin
14 O’Riordan, Eugene
13 Gracia, José Luis
10 Cen, Zhongdi
7 Chen, Yanping
7 Das, Pratibhamoy
7 Natesan, Srinivasan
7 Roos, Hans-Görg
7 Vulanović, Relja
7 Xu, Aimin
6 Clavero, Carmelo
6 Huang, Chaobao
5 Benilov, Eugene S.
5 Liu, Xiaowei
5 Long, Guangqing
5 Meng, XiangYun
5 Otárola, Enrique
5 Pickett, Maria L.
5 Teofanov, Ljiljana
5 Wang, Hong
5 Zhang, Jin
4 Andreev, Vladimir B.
4 Ershova, T. Ya.
4 Franz, Sebastian
4 Gu, Zhendong
4 Kadalbajoo, Mohan K.
4 Kaushik, Aditya
4 Le, Anbo
4 Mo, Jiaqi
4 Nefedov, Nikolaĭ Nikolaevich
4 Pedas, Arvet
4 Salgado, Abner J.
4 Tamme, Enn
4 Zarin, Helena
4 Zheng, Xiangcheng
3 Allendes, Alejandro
3 Chen, Hu
3 Gupta, Vikas
3 Hao, Zhaopeng
3 Huang, Weizhang
3 Luk’yanenko, Dmitriĭ Vital’evich
3 Madden, Niall
3 Nhan, Thái Anh
3 Radojev, Goran
3 Rankin, Richard
3 Sharma, Manju
3 Shishkin, Grigoriĭ Ivanovich
3 Vikerpuur, Mikk
3 Zhang, Zhimin
2 Ameen, Ibrahem G.
2 Benilov, M. S.
2 Blatov, Igor A.
2 Brdar, Mirjana
2 Cao, Wanrong
2 Castro-Díaz, Manuel Jesús
2 Chapman, Stephen Jonathan
2 Chen, Long
2 Chugunova, Marina A.
2 Duffy, Brian Reginald
2 Duvnjaković, Enes
2 Feng, Yihu
2 Fernández-Nieto, Enrique Domingo
2 Gärtner, Klaus
2 Gowrisankar, S.
2 Guo, Yuling
2 Hegarty, Alan F.
2 Hibberd, Stephen
2 Hong, Youngjoon
2 Hou, Lei
2 Jorge, Juan Carlos
2 Kamenski, Lennard
2 Kay, E. D.
2 Kellogg, Bruce
2 Kitaeva, E. V.
2 Kong, Yinying
2 Kumar Mishra, Hradyesh
2 Kumar, Vijayant
2 Li, Meng
2 Liang, Hui
2 Liang, Ying
2 Liu, Xiaohui
2 Morales de Luna, Tomás
2 Muga, Ignacio
2 Ni, Mingkang
2 Parés Madroñal, Carlos
2 Patidar, Kailash C.
2 Power, Henry
2 Quinn, Jason
2 Sahu, S. R.
2 Sharma, Nitika
2 She, Zihang
2 Sousa, Ercília
2 Thiele, Uwe
2 Volkov, Vladimir T.
2 Wang, Dongling
2 Wang, Lilian
2 Wang, Zhongqing
...and 314 more Authors
all top 5

Cited in 76 Serials

32 Journal of Computational and Applied Mathematics
23 Applied Mathematics and Computation
21 Applied Numerical Mathematics
20 Numerical Algorithms
19 Computers & Mathematics with Applications
16 Journal of Scientific Computing
11 Mathematics of Computation
11 International Journal of Computer Mathematics
10 Advances in Computational Mathematics
9 SIAM Journal on Numerical Analysis
9 Computational Mathematics and Mathematical Physics
8 Journal of Fluid Mechanics
8 BIT
7 Computer Methods in Applied Mechanics and Engineering
7 Numerische Mathematik
7 Applied Mathematics Letters
5 Journal of Computational Physics
5 Calcolo
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Moscow University Computational Mathematics and Cybernetics
4 Physics of Fluids
4 Journal of Applied Mathematics and Computing
3 Journal of Engineering Mathematics
3 Numerical Methods for Partial Differential Equations
3 Computational and Applied Mathematics
3 Journal of Difference Equations and Applications
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Computational Methods in Applied Mathematics
2 Mathematical Methods in the Applied Sciences
2 Journal of Differential Equations
2 Studies in Applied Mathematics
2 Applications of Mathematics
2 Applied Mathematical Modelling
2 SIAM Journal on Scientific Computing
2 Engineering Analysis with Boundary Elements
2 Mathematical Problems in Engineering
2 Differential Equations and Dynamical Systems
2 Communications in Nonlinear Science and Numerical Simulation
2 Qualitative Theory of Dynamical Systems
2 International Journal of Computational Methods
2 Journal of Modern Methods in Numerical Mathematics
2 International Journal of Applied and Computational Mathematics
1 Applicable Analysis
1 Computers and Fluids
1 Computer Physics Communications
1 Journal of Mathematical Analysis and Applications
1 Theoretical and Mathematical Physics
1 Computing
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 Communications in Partial Differential Equations
1 Linear Algebra and its Applications
1 Advances in Engineering Software
1 Computational Optimization and Applications
1 Applied Mathematics. Series B (English Edition)
1 Communications in Numerical Methods in Engineering
1 Journal of Inverse and Ill-Posed Problems
1 ETNA. Electronic Transactions on Numerical Analysis
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Fractional Calculus & Applied Analysis
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 Journal of Systems Science and Complexity
1 SIAM Journal on Applied Dynamical Systems
1 Analysis and Applications (Singapore)
1 Mediterranean Journal of Mathematics
1 Acta Numerica
1 Advances in Difference Equations
1 Mathematical Geosciences
1 ISRN Applied Mathematics
1 East Asian Journal on Applied Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Electronic Research Archive

Citations by Year