| Year | Publication | |
|---|---|---|
| 2007 | 'Convergence theory of moving grid methods for singular perturbation problems'
Kopteva, N (2007) 'Convergence theory of moving grid methods for singular perturbation problems' In: Adaptive Computations: Theory and Algorithms. Beijing: Science Press. [Details] |
| Year | Publication | |
|---|---|---|
| 2009 | BAIL 2008 - Boundary and Interior Layers, Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008, Lecture Notes in Computational Science and Engineering, 69
A.F. Hegarty, N. Kopteva, E. O'Riordan and M. Stynes (Ed.). (2009) BAIL 2008 - Boundary and Interior Layers, Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008, Lecture Notes in Computational Science and Engineering, 69 Berlin Heidelberg: Springer. [Details] |
| Year | Publication | |
|---|---|---|
| 2023 | 'Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations'
Franz S.;Kopteva N. (2023) 'Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations'. Journal Of Computational And Applied Mathematics, 427 [DOI] [Details] |
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| 2023 | 'POINTWISE A POSTERIORI ERROR ESTIMATES FOR DISCONTINUOUS GALERKIN METHODS FOR SINGULARLY PERTURBED REACTION-DIFFUSION EQUATIONS*'
Kopteva N.;Rankin R. (2023) 'POINTWISE A POSTERIORI ERROR ESTIMATES FOR DISCONTINUOUS GALERKIN METHODS FOR SINGULARLY PERTURBED REACTION-DIFFUSION EQUATIONS*'. Siam Journal On Numerical Analysis, 61 (4):1938-1961 [DOI] [Details] |
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| 2022 | 'Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign'
Kopteva N. (2022) 'Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign'. Applied Mathematics Letters, 132 [DOI] [Details] |
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| 2022 | 'Pointwise-in-time a posteriori error control for time-fractional parabolic equations'
Kopteva, N (2022) 'Pointwise-in-time a posteriori error control for time-fractional parabolic equations'. Applied Mathematics Letters, 123 [DOI] [Details] |
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| 2022 | 'A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations'
Kopteva N.;Stynes M. (2022) 'A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations'. Journal Of Scientific Computing, 92 (2) [DOI] [Details] |
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| 2021 | 'ERROR ANALYSIS OF AN L2-TYPE METHOD ON GRADED MESHES FOR A FRACTIONAL-ORDER PARABOLIC PROBLEM'
Kopteva, N (2021) 'ERROR ANALYSIS OF AN L2-TYPE METHOD ON GRADED MESHES FOR A FRACTIONAL-ORDER PARABOLIC PROBLEM'. Mathematics Of Computation, 90 :19-40 [DOI] [Details] |
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| 2020 | 'How accurate are finite elements on anisotropic triangulations in the maximum norm?'
Kopteva N. (2020) 'How accurate are finite elements on anisotropic triangulations in the maximum norm?'. Journal Of Computational And Applied Mathematics, 364 [DOI] [Details] |
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| 2020 | 'Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions'
Kopteva N.;Meng X. (2020) 'Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions'. Siam Journal On Numerical Analysis, 58 (2):1217-1238 [DOI] [Details] |
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| 2020 | 'ERROR ANALYSIS FOR TIME-FRACTIONAL SEMILINEAR PARABOLIC EQUATIONS USING UPPER AND LOWER SOLUTIONS'
Kopteva, N (2020) 'ERROR ANALYSIS FOR TIME-FRACTIONAL SEMILINEAR PARABOLIC EQUATIONS USING UPPER AND LOWER SOLUTIONS'. Siam Journal On Numerical Analysis, 58 :2212-2234 [DOI] [Details] |
|
| 2020 | 'Lower a posteriori error estimates on anisotropic meshes'
Kopteva N. (2020) 'Lower a posteriori error estimates on anisotropic meshes'. Numerische Mathematik, [DOI] [ULIR Link] [Details] |
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| 2019 | 'Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions'
Kopteva N. (2019) 'Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions'. Mathematics Of Computation, 88 (319):2135-2155 [DOI] [Details] |
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| 2018 | 'Logarithm cannot be removed in maximum norm error estimates for linear finite elements in 3D'
Kopteva N. (2018) 'Logarithm cannot be removed in maximum norm error estimates for linear finite elements in 3D'. Mathematics Of Computation, 88 (318):1527-1532 [DOI] [Details] |
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| 2017 | 'Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations'
Kopteva, N,Linss, T (2017) 'Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations'. Advances In Computational Mathematics, 43 :999-1022 [DOI] [Details] |
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| 2017 | 'Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes'
Kopteva, N (2017) 'Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes'. Numerische Mathematik, 137 :607-642 [DOI] [Details] |
|
| 2017 | 'Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem'
Kopteva, N,Stynes, M (2017) 'Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem'. Advances In Computational Mathematics, 43 :77-99 [DOI] [Details] |
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| 2016 | 'Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems'
Demlow, A,Kopteva, N (2016) 'Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems'. Numerische Mathematik, 133 :707-742 [DOI] [ULIR Link] [Details] |
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| 2015 | 'Maximum-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes'
Kopteva, N (2015) 'Maximum-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes'. Siam Journal On Numerical Analysis, 53 :2519-2544 [DOI] [ULIR Link] [Details] |
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| 2015 | 'An efficient collocation method for a Caputo two-point boundary value problem'
Kopteva, N,Stynes, M (2015) 'An efficient collocation method for a Caputo two-point boundary value problem'. Bit Numerical Mathematics, 55 :1105-1123 [DOI] [ULIR Link] [Details] |
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| 2014 | 'Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations'
Kopteva, N (2014) 'Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations'. Mathematics Of Computation, 83 :2061-2070 [ULIR Link] [Details] |
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| 2014 | 'Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations'
Kopteva N. (2014) 'Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations'. Mathematics Of Computation, 83 (289):2061-2070 [DOI] [Details] |
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| 2013 | 'Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions'
Kopteva, N,Linss, T (2013) 'Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions'. Siam Journal On Numerical Analysis, 51 :1494-1524 [DOI] [ULIR Link] [Details] |
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| 2012 | 'A second-order overlapping Schwarz method for a 2d singularly perturbed semilinear reaction-diffusion problem'
Kopteva, N,Pickett, M (2012) 'A second-order overlapping Schwarz method for a 2d singularly perturbed semilinear reaction-diffusion problem'. Mathematics Of Computation, 81 :81-105 [DOI] [ULIR Link] [Details] |
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| 2012 | 'Maximum norm a posteriori error estimation for a time-dependent reaction-diffusion problem'
Kopteva N.;Linß T. (2012) 'Maximum norm a posteriori error estimation for a time-dependent reaction-diffusion problem'. Computational Methods In Applied Mathematics, 12 (2):189-205 [DOI] [Details] |
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| 2012 | 'Green's function estimates for a singularly perturbed convection-diffusion problem'
Franz, S; Kopteva, N (2012) 'Green's function estimates for a singularly perturbed convection-diffusion problem'. Journal Of Differential Equations, 252 :1521-1545 [DOI] [ULIR Link] [Details] |
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| 2011 | 'Maximum norm a posteriori error estimate for a 3d singularly perturbed semilinear reaction-diffusion problem'
Chadha, NM; Kopteva, N (2011) 'Maximum norm a posteriori error estimate for a 3d singularly perturbed semilinear reaction-diffusion problem'. ADVANCES IN COMPUTATIONAL MATHEMATICS, 35 (1):33-55 [DOI] [Details] |
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| 2011 | 'Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem'
Kopteva, N; Stynes, M (2011) 'Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem'. Numerische Mathematik, 119 :787-810 [DOI] [ULIR Link] [Details] |
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| 2011 | 'Pointwise error estimates for a singularly perturbed time-dependent semilinear reaction-diffusion problem'
Kopteva, N; Savescu, SB (2011) 'Pointwise error estimates for a singularly perturbed time-dependent semilinear reaction-diffusion problem'. IMA JOURNAL OF NUMERICAL ANALYSIS, 31 (2):616-639 [DOI] [Details] |
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| 2011 | 'A robust grid equidistribution method for a one-dimensional singularly perturbed semilinear reaction-diffusion problem'
Chadha, NM; Kopteva, N (2011) 'A robust grid equidistribution method for a one-dimensional singularly perturbed semilinear reaction-diffusion problem'. IMA JOURNAL OF NUMERICAL ANALYSIS, 31 (1):188-211 [DOI] [Details] |
|
| 2010 | 'A posteriori error estimation for a defect-correction method applied to convection-diffusion problems'
Linss T.;Kopteva N. (2010) 'A posteriori error estimation for a defect-correction method applied to convection-diffusion problems'. International Journal Of Numerical Analysis And Modeling, 7 (4):718-733 [Details] |
|
| 2010 | 'A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain'
Kellogg, RB; Kopteva, N (2010) 'A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain'. JOURNAL OF DIFFERENTIAL EQUATIONS, 248 (1):184-208 [DOI] [Details] |
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| 2010 | 'Shishkin meshes in the numerical solution of singularly perturbed differential equations'
Kopteva, N; O'Riordan, E (2010) 'Shishkin meshes in the numerical solution of singularly perturbed differential equations'. International Journal Of Numerical Analysis And Modeling, 7 (3):393-415 [ULIR Link] [Details] |
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| 2010 | 'A POSTERIORI ERROR ESTIMATION FOR A DEFECT-CORRECTION METHOD APPLIED TO CONVECTION-DIFFUSION PROBLEMS'
Linss, T; Kopteva, N (2010) 'A POSTERIORI ERROR ESTIMATION FOR A DEFECT-CORRECTION METHOD APPLIED TO CONVECTION-DIFFUSION PROBLEMS'. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 7 (4):718-733 [Details] |
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| 2009 | 'Pointwise error estimates for a singularly perturbed time-dependent semilinear reaction-diffusion problem'
Kopteva, N; Savescu, SB (2009) 'Pointwise error estimates for a singularly perturbed time-dependent semilinear reaction-diffusion problem'. IMA JOURNAL OF NUMERICAL ANALYSIS, [Details] |
|
| 2009 | 'Numerical analysis of a 2d singularly perturbed semilinear reaction-diffusion problem'
Kopteva, N (2009) 'Numerical analysis of a 2d singularly perturbed semilinear reaction-diffusion problem'. LECTURE NOTES IN COMPUTER SCIENCE, 5434 :80-91 [Details] |
|
| 2009 | 'A robust grid equidistribution method for a 1d singularly perturbed semilinear reaction-diffusion problem'
Chadha, NM; Kopteva, N (2009) 'A robust grid equidistribution method for a 1d singularly perturbed semilinear reaction-diffusion problem'. IMA JOURNAL OF NUMERICAL ANALYSIS, [Details] |
|
| 2009 | 'A robust overlapping Schwarz method for a singularly perturbed semilinear reaction-diffusion problem with multiple solutions'
Kopteva N., Pickett M., Purtill H. (2009) 'A robust overlapping Schwarz method for a singularly perturbed semilinear reaction-diffusion problem with multiple solutions'. International Journal of Numerical Analysis and Modeling, 6 (4):680-695 [Details] |
|
| 2009 | 'A robust overlapping Schwarz method for a singularly perturbed semilinear reaction-diffusion problem with multiple solutions'
Kopteva N.;Pickett M.;Purtill H. (2009) 'A robust overlapping Schwarz method for a singularly perturbed semilinear reaction-diffusion problem with multiple solutions'. International Journal Of Numerical Analysis And Modeling, 6 (4):680-695 [Details] |
|
| 2009 | 'A ROBUST OVERLAPPING SCHWARZ METHOD FOR SINGULARLY PERTURBED SEMILINEAR REACTION-DIFFUSION PROBLEM WITH MULTIPLE SOLUTIONS'
Kopteva, N; Pickett, M; Purtill, H (2009) 'A ROBUST OVERLAPPING SCHWARZ METHOD FOR SINGULARLY PERTURBED SEMILINEAR REACTION-DIFFUSION PROBLEM WITH MULTIPLE SOLUTIONS'. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 6 (4):680-695 [Details] |
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| 2008 | 'Steady rimming flows with surface tension'
Benilov, ES; Benilov, MS; Kopteva, N (2008) 'Steady rimming flows with surface tension'. JOURNAL OF FLUID MECHANICS, 597 :91-118 [DOI] [Details] |
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| 2008 | 'Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an L-shaped domain'
Andreev, VB; Kopteva, N (2008) 'Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an L-shaped domain'. MATHEMATICS OF COMPUTATION, 77 (264):2125-2139 [DOI] [Details] |
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| 2008 | 'Maximum norm a posteriori error estimate for a 2D singularly perturbed semilinear reaction-diffusion problem'
Kopteva, N (2008) 'Maximum norm a posteriori error estimate for a 2D singularly perturbed semilinear reaction-diffusion problem'. SIAM JOURNAL ON NUMERICAL ANALYSIS, 46 (3):1602-1618 [DOI] [Details] |
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| 2007 | 'Maximum norm a posteriori error estimates for a ID singularly perturbed semilinear reaction-diffusion problem'
Kopteva, N (2007) 'Maximum norm a posteriori error estimates for a ID singularly perturbed semilinear reaction-diffusion problem'. IMA JOURNAL OF NUMERICAL ANALYSIS, 27 (3):576-592 [DOI] [Details] |
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| 2007 | 'Maximum norm error analysis of a 2D singularly perturbed semilinear reaction-diffusion problem'
Kopteva, N (2007) 'Maximum norm error analysis of a 2D singularly perturbed semilinear reaction-diffusion problem'. MATHEMATICS OF COMPUTATION, 76 (258):631-646 [DOI] [Details] |
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| 2006 | 'The formation of river channels'
Fowler, AC; Kopteva, N; Oakley, C (2006) 'The formation of river channels'. SIAM JOURNAL ON APPLIED MATHEMATICS, 67 :1016-1040 [DOI] [ULIR Link] [Details] |
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| 2006 | 'Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions'
Stynes, M; Kopteva, N (2006) 'Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions'. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 51 (5):857-864 [DOI] [Details] |
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| 2005 | 'Does surface tension stabilize liquid films inside a rotating horizontal cylinder?'
Benilov, ES; Kopteva, N; O'Brien, SBG (2005) 'Does surface tension stabilize liquid films inside a rotating horizontal cylinder?'. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 58 :185-200 [DOI] [Details] |
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| 2005 | 'Grid equidistribution for reaction-diffusion problems in one dimension'
Kopteva, N; Madden, N; Stynes, M (2005) 'Grid equidistribution for reaction-diffusion problems in one dimension'. NUMERICAL ALGORITHMS, 40 (3):305-322 [DOI] [Details] |
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| 2004 | 'How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers?'
Kopteva, N (2004) 'How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers?'. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 193 (45-47):4875-4889 [DOI] [ULIR Link] [Details] |
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| 2004 | 'Numerical analysis of a singularly perturbed nonlinear reaction-diffusion problem with multiple solutions'
Kopteva, N; Stynes, M (2004) 'Numerical analysis of a singularly perturbed nonlinear reaction-diffusion problem with multiple solutions'. APPLIED NUMERICAL MATHEMATICS, 51 :273-288 [Details] |
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| 2003 | 'Error expansion for an upwind scheme applied to a two-dimensional convection-diffusion problem'
Kopteva, N (2003) 'Error expansion for an upwind scheme applied to a two-dimensional convection-diffusion problem'. SIAM J. NUMER. ANAL, 41 (5):1851-1869 [Details] |
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| 2001 | 'Uniform second order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem'
Kopteva, N; Linss, T (2001) 'Uniform second order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem'. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 137 (2):257-267 [Details] |
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| 2001 | 'Approximation of derivatives in a convection-diffusion two-point boundary value problem'
Kopteva, N; Stynes, M (2001) 'Approximation of derivatives in a convection-diffusion two-point boundary value problem'. APPLIED NUMERICAL MATHEMATICS, 39 (1):47-60 [Details] |
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| 2001 | 'A robust adaptive method for a quasilinear one-dimensional convection-diffusion problem'
Kopteva, N; Stynes, M (2001) 'A robust adaptive method for a quasilinear one-dimensional convection-diffusion problem'. SIAM J. NUMER. ANAL, 39 (4):1446-1467 [Details] |
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| 2001 | 'Uniform pointwise convergence of difference schemes for convection-diffusion problems on layer-adapted meshes'
Kopteva, N (2001) 'Uniform pointwise convergence of difference schemes for convection-diffusion problems on layer-adapted meshes'. COMPUTING, 66 (2):179-197 [ULIR Link] [Details] |
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| 2001 | 'Maximum norm a posteriori error estimates for a one-dimensional convection-diffusion problem'
Kopteva, N (2001) 'Maximum norm a posteriori error estimates for a one-dimensional convection-diffusion problem'. SIAM J. NUMER. ANAL, 39 (2):423-441 [Details] |
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| 1999 | 'On the convergence, uniform with respect to the small parameter, of a scheme with central difference on refined grids'
Kopteva, N (1999) 'On the convergence, uniform with respect to the small parameter, of a scheme with central difference on refined grids'. COMPUT.MATH. MATH. PHYS, 39 (10):1594-1610 [Details] |
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| 1999 | 'On the convergence, uniform with respect to the small parameter, of a scheme with central difference on refined grids, (Russian)'
Kopteva, N (1999) 'On the convergence, uniform with respect to the small parameter, of a scheme with central difference on refined grids, (Russian)'. ZH. VYCHISL. MAT. MAT. FIZ, 39 (10):1662-1678 [Details] |
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| 1998 | 'The two-dimensional Sobolev inequality in the case of an arbitrary grid'
Kopteva, N (1998) 'The two-dimensional Sobolev inequality in the case of an arbitrary grid'. ZH. VYCHISL. MAT. MAT. FIZ, 38 (4):596-599 [Details] |
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| 1997 | 'On the convergence, uniform with respect to a small parameter, of a scheme with weights for a one-dimensional nonstationary convection-diffusion equation'
Kopteva, N (1997) 'On the convergence, uniform with respect to a small parameter, of a scheme with weights for a one-dimensional nonstationary convection-diffusion equation'. ZH. VYCHISL. MAT. MAT. FIZ, 37 (10):1213-1220 [Details] |
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| 1997 | 'On the convergence, uniform with respect to a small parameter, of a four-point scheme for a one-dimensional stationary convection-diffusion equation'
Kopteva, N (1997) 'On the convergence, uniform with respect to a small parameter, of a four-point scheme for a one-dimensional stationary convection-diffusion equation'. DIFFERENTIAL EQUATIONS, 32 (7):958-964 [Details] |
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| 1997 | 'On the convergence, uniform with respect to the small parameter, of a difference scheme for an elliptic problem in a strip'
Kopteva, N (1997) 'On the convergence, uniform with respect to the small parameter, of a difference scheme for an elliptic problem in a strip'. XV VYCHISL. MAT. KIBERNET, 47 (2):6-9 [Details] |
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| 1996 | 'On the convergence, uniform with respect to a small parameter, of a four-point scheme for a one-dimensional stationary convection-diffusion equation, (Russian)'
Kopteva, N (1996) 'On the convergence, uniform with respect to a small parameter, of a four-point scheme for a one-dimensional stationary convection-diffusion equation, (Russian)'. DIFFER. URAVN, 32 (7):951-957 [Details] |
| Year | Publication | |
|---|---|---|
| 2009 | 'Some asymptotic expansions for a semilinear reaction-diffusion problem in a sector'
Kellogg, RB; Kopteva, N (2009) 'Some asymptotic expansions for a semilinear reaction-diffusion problem in a sector' arXiv:0902.0987, . [Details] |
| Year | Publication | |
|---|---|---|
| 2020 | Lecture Notes in Computational Science and Engineering
Kopteva N. (2020) Improved energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes Lecture Notes in Computational Science and Engineering , pp.143-156 [DOI] [ULIR Link] [Details] |
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| 2017 | Lecture Notes in Computational Science and Engineering
Kopteva N. (2017) Energy-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes: Neumann Boundary Conditions Lecture Notes in Computational Science and Engineering , pp.141-154 [DOI] [Details] |
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| 2013 | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Kopteva N.;Linß T. (2013) Numerical study of maximum norm a posteriori error estimates for singularly perturbed parabolic problems Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) , pp.50-61 [DOI] [Details] |
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| 2013 | NUMERICAL ANALYSIS AND ITS APPLICATIONS, NAA 2012
Kopteva, N,Linss, T,Dimov I,Farago I,Vulkov, L (2013) Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems NUMERICAL ANALYSIS AND ITS APPLICATIONS, NAA 2012 , pp.50-61 [Details] |
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| 2009 | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Kopteva N. (2009) Numerical analysis of a 2D singularly perturbed semilinear reaction-diffusion problem Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) , pp.80-91 [DOI] [Details] |
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| 2009 | NUMERICAL ANALYSIS AND ITS APPLICATIONS
Kopteva, N (2009) Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem NUMERICAL ANALYSIS AND ITS APPLICATIONS , pp.80-91 [Details] |
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| 2006 | 4th International Conference Finite Difference Methods: Theory and Applications
N. Kopteva (2006) Pointwise error estimates for 2d singularly perturbed semilinear reaction-diffusion problems . In: I. Farago, P. Vabishchevich & L. Vulkov eds. 4th International Conference Finite Difference Methods: Theory and Applications , 26-AUG-06 - 29-AUG-06 , pp.105-114 [Details] |
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| 2005 | 10th International Conference Mathematical Modelling and Analysis and 2nd International Conference Computational Methods in Applied Mathematics
N.Kopteva (2005) Error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem . In: R. Ciegis eds. 10th International Conference Mathematical Modelling and Analysis and 2nd International Conference Computational Methods in Applied Mathematics , 06-JAN-05 - 06-MAY-05 , pp.227-233 [Details] |
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| 2004 | Numerical Methods for Problems with Layer Phenomena, 3rd Annual Workshop
N. Kopteva, N. Madden & M. Stynes (2004) On equidistribution for reaction-diffusion problems . In: * eds. Numerical Methods for Problems with Layer Phenomena, 3rd Annual Workshop , 01-JAN-04 - 30-DEC-99 , pp.46-51 [Details] |
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| 2004 | Numerical Methods for Problems with Layer Phenomena, 3rd Annual Workshop
N. Kopteva & M. Stynes (2004) Approximation of interior-layer solutions in a singularly perturbed nonlinear reaction-diffusion problem . In: A. R. Ansari, A. F. Hegarty & G. I. Shishkin eds. Numerical Methods for Problems with Layer Phenomena, 3rd Annual Workshop , 01-FEB-04 - 30-DEC-99 , pp.20-25 [Details] |
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| 2000 | Analytical and Computational Methods for Convection-Dominated and Singularly Perturbed Problems
V. B. Andreev & N. V. Kopteva (2000) Uniform with respect to a small parameter convergence of difference schemes for a convection-diffusion problem . In: J. J. H. Miller, G. I. Shishkin and L. Vulkov eds. Analytical and Computational Methods for Convection-Dominated and Singularly Perturbed Problems , 01-JAN-00 - 30-DEC-99 , pp.133-139 [Details] |
| Year | Publication | |
|---|---|---|
| 2007 | Conference on Computational Methods in Applied Mathematics CMAM-3,
N. Kopteva (2007) [Oral Presentation], Conference on Computational Methods in Applied Mathematics CMAM-3, , 01-JUL-07 [Details] |
| Year | Publication | |
|---|---|---|
| 2010 | Shishkin meshes in the numerical solution of singularly perturbed differential equations.
Kopteva N.;O'Riordan E. (2010) Shishkin meshes in the numerical solution of singularly perturbed differential equations. Reviews [Details] |
| Year | Institution | Qualification | Subject | |
|---|---|---|---|---|
| 1997 | Moscow State University | Ph.D. | ||
| 1993 | Moscow State University, | M.Sc. |