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Author ID: roos.hans-gorg Recent zbMATH articles by "Roos, Hans-Görg"
Published as: Roos, Hans-Görg; Roos, H.-G.; Roos, Hans-Goerg; Roos, Hans-G.; Roos, Hans-Georg; Roos, Hans-Geörg; Roos, Hans Görg; Ross, Hans-Görg; Ross, H.-G.; Roos, Hans
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Serials

7 Journal of Computational and Applied Mathematics
6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 Computing
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Computational Methods in Applied Mathematics
5 Applications of Mathematics
5 Wissenschaftliche Zeitschrift der Technischen Hochschule Otto von Guericke
4 IMA Journal of Numerical Analysis
4 Applied Numerical Mathematics
3 Computers & Mathematics with Applications
3 Journal of Mathematical Analysis and Applications
3 Commentationes Mathematicae Universitatis Carolinae
3 Zeitschrift für Analysis und ihre Anwendungen
3 Journal of Computational Mathematics
3 Applied Mathematics Letters
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 ETNA. Electronic Transactions on Numerical Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 Applied Mathematics and Computation
2 International Journal for Numerical Methods in Engineering
2 Numerische Mathematik
2 Numerical Methods for Partial Differential Equations
2 SIAM Review
2 Wissenschaftliche Zeitschrift der Technischen Universität Dresden
2 International Journal of Numerical Analysis and Modeling
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Springer Series in Computational Mathematics
2 Numerical Mathematics: Theory, Methods and Applications
2 Beiträge zur Analysis
2 Mathematical Research
1 Communications in Mathematical Physics
1 Mathematics of Computation
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Aplikace Matematiky
1 BIT
1 Calcolo
1 Demonstratio Mathematica
1 Mathematische Nachrichten
1 SIAM Journal on Numerical Analysis
1 Zbornik Radova. Prirodno-Matematichkog Fakulteta. Serija za Matematiku
1 CWI Quarterly
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Neural, Parallel & Scientific Computations
1 Computational and Applied Mathematics
1 Advances in Computational Mathematics
1 Open Systems & Information Dynamics
1 Novi Sad Journal of Mathematics
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 Journal of Numerical Mathematics
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 ISRN Applied Mathematics
1 Universitext

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 1,696 times in 1,096 Documents Cited by Year
Robust numerical methods for singularly perturbed differential equations. Convection-diffusion-reaction and flow problems. 2nd ed. Zbl 1155.65087
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
364
2008
Numerical methods for singularly perturbed differential equations. Convection-diffusion and flow problems. Zbl 0844.65075
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
286
1996
The midpoint upwind scheme. Zbl 0877.65055
Stynes, Martin; Roos, Hans-Görg
83
1997
Sufficient conditions for uniform convergence on layer-adapted grids. Zbl 0931.65085
Roos, H.-G.; Linß, T.
69
1999
Layer-adapted grids for singular perturbation problems. Zbl 0905.65095
Roos, H.-G.
49
1998
Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of ‘Numerische Behandlung partieller Differentialgleichungen’ by Martin Stynes. Zbl 1180.65147
Grossmann, Christian; Roos, Hans-Görg; Stynes, Martin
42
2007
Uniform pointwise convergence on Shishkin-type meshes for quasi-linear convection-diffusion problems. Zbl 0977.65067
Linß, Torsten; Roos, Hans-Görg; Vulanovic, Relja
41
2000
The SDFEM for a convection-diffusion problem with two small parameters. Zbl 1034.65064
Roos, Hans-Görg; Uzelac, Zorica
36
2003
Analysis of a finite-difference scheme for a singularly perturbed problem with two small parameters. Zbl 1043.65089
Linß, Torsten; Roos, Hans-Görg
36
2004
Convergence and stability in balanced norms of finite element methods on Shishkin meshes for reaction-diffusion problems. Zbl 1326.65163
Roos, Hans-Görg; Schopf, Martin
31
2015
Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers. Zbl 1221.65292
Franz, S.; Linß, T.; Roos, H.-G.
27
2008
Ten ways to generate the Il’in and related schemes. Zbl 0817.65063
Roos, Hans-Görg
27
1994
Independence of local algebras in quantum field theory. Zbl 0197.26303
Roos, H.
27
1970
A note on the conditioning of upwind schemes on Shishkin meshes. Zbl 0861.65066
Roos, Hans-Görg
25
1996
Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers. Zbl 1100.65105
Zarin, Helena; Roos, Hans-Görg
24
2005
A priori estimates for the solution of convection-diffusion problems and interpolation on Shishkin meshes. Zbl 0892.35014
Dobrowolski, M.; Roos, H.-G.
23
1997
A uniformly convergent discretization method for a fourth order singular perturbation problem. Zbl 0747.65066
Roos, Hans-Görg; Stynes, Martin
21
1991
A second-order scheme for singularly perturbed differential equations with discontinuous source term. Zbl 1023.65077
Roos, H.-G.; Zarin, H.
19
2002
An elliptic singularly perturbed problem with two parameters. I: Solution decomposition. Zbl 1151.35338
Teofanov, Lj.; Roos, H.-G.
19
2007
Error estimation in a balanced norm for a convection-diffusion problem with two different boundary layers. Zbl 1314.65141
Franz, Sebastian; Roos, Hans-Görg
18
2014
Error estimates for linear finite elements on Bakhvalov-type meshes. Zbl 1164.65486
Roos, Hans-Görg
18
2006
An elliptic singularly perturbed problem with two parameters. II: Robust finite element solution. Zbl 1151.35021
Teofanov, Lj.; Roos, H.-G.
16
2008
Some open questions in the numerical analysis of singularly perturbed differential equations. Zbl 1329.65278
Roos, Hans-Görg; Stynes, Martin
16
2015
Global uniformly convergent schemes for a singularly perturbed boundary- value problem using patched base spline-functions. Zbl 0686.65048
Roos, H.-G.
15
1990
Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012. Zbl 1264.65116
Roos, Hans-Görg
14
2012
Defect correction on Shishkin-type meshes. Zbl 0976.65074
Fröhner, Anja; Linß, Torsten; Roos, Hans-Görg
14
2001
Optimal convergence of basic schemes for elliptic boundary value problems with strong parabolic layers. Zbl 1051.65109
Roos, Hans-Görg
14
2002
The capriciousness of numerical methods for singular perturbations. Zbl 1233.65054
Franz, Sebastian; Roos, Hans-Görg
14
2011
Singularly perturbed differential equations. Zbl 0522.35003
Goering, Herbert; Felgenhauer, Andreas; Lube, Gert; Roos, Hans-Goerg; Tobiska, Lutz
14
1983
A supercloseness result for the discontinuous Galerkin stabilization of convection-diffusion problems on Shishkin meshes. Zbl 1145.65100
Roos, Hans-Görg; Zarin, Helena
13
2007
The streamline-diffusion method for a convection–diffusion problem with a point source. Zbl 1016.65054
Roos, Hans-Görg; Zarin, Helena
13
2003
Graded meshes for higher order FEM. Zbl 1340.65158
Roos, Hans-Görg; Teofanov, Ljiljana; Uzelac, Zorica
13
2015
Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers. Zbl 1321.65120
Becher, S.; Roos, H.-G.
12
2015
A \(C^{0}\) interior penalty method for a singularly-perturbed fourth-order elliptic problem on a layer-adapted mesh. Zbl 1293.65151
Franz, Sebastian; Roos, Hans-Görg; Wachtel, Andreas
12
2014
Numerical analysis of a system of singularly perturbed convection-diffusion equations related to optimal control. Zbl 1265.65123
Roos, Hans-Görg; Reibiger, Christian
11
2011
A second order monotone upwind scheme. Zbl 0572.65063
Roos, H.-G.
11
1986
Superconvergence on a hybrid mesh for singularly perturbed problems with exponential layers. Zbl 1097.65107
Roos, Hans-Görg
10
2006
Anisotropic mesh refinement for problems with internal and boundary layers. Zbl 0965.76047
Skalický, T.; Roos, H.-G.
10
1999
A novel nonconforming uniformly convergent finite element method in two dimensions. Zbl 0859.65118
Roos, Hans-Görg; Adam, Dirk; Felgenhauer, Andreas
9
1996
Necessary convergence conditions for upwind schemes in the two- dimensional case. Zbl 0578.65098
Roos, H.-G.
9
1985
A comparison of the finite element method on Shishkin and Gartland-type meshes for convection-diffusion problems. Zbl 0908.65099
Roos, H.-G.; Skalický, T.
8
1997
The \(\varepsilon\)-uniform convergence of a defect correction method on a Shishkin mesh. Zbl 0978.65069
Fröhner, Anja; Roos, Hans-Görg
8
2001
BDF-FEM for parabolic singularly perturbed problems with exponential layers on layer-adapted meshes in space. Zbl 1208.65146
Dolejší, Vit; Roos, Hans-Geörg
8
2010
The numerical analysis of partial differential equations. 2., durchges. Aufl. (Numerik partieller Differentialgleichungen.) Zbl 0822.65055
Großmann, Christian; Roos, Hans-Görg
8
1994
Gleichmäßig einschließende Diskretisierungsverfahren für schwach nichtlineare Randwertaufgaben. (Uniformly enclosing discretization methods for weakly nonlinear boundary value problems). Zbl 0621.65092
Großmann, C.; Krätzschmar, M.; Roos, H.-G.
8
1986
Numerics of partial differential equations. (Numerik partieller Differentialgleichungen.) Zbl 0755.65087
Großmann, Christian; Roos, Hans-Görg
7
1992
Two-sided bounds of the discretization error for finite elements. Zbl 1269.65113
Křížek, Michal; Roos, Hans-Goerg; Chen, Wei
6
2011
Parabolic singularly perturbed problems with exponential layers: robust discretizations using finite elements in space on Shishkin meshes. Zbl 1195.65121
Kaland, Lena; Roos, Hans-Görg
6
2010
Gradient recovery for singularly perturbed boundary value problems. I: One-dimensional convection-diffusion. Zbl 0977.65068
Roos, H.-G.; Linß, T.
6
2001
An optimal uniform a priori error estimate for an unsteady singularly perturbed problem. Zbl 1310.65108
Vlasak, Miloslav; Roos, Hans-Görg
6
2014
A nonconforming finite element method for a singularly perturbed boundary value problem. Zbl 0813.65105
Adam, D.; Felgenhauer, A.; Roos, H.-G.; Stynes, M.
6
1995
A note on the convergence analysis of a diffuse-domain approach. Zbl 1284.35068
Franz, Sebastian; Gärtner, Roland; Roos, Hans-Görg; Voigt, Axel
6
2012
Finite element superconvergence on Shishkin meshes for convection-diffusion problems with corner singularities. Zbl 1293.65143
Ludwig, Lars; Roos, Hans-Görg
6
2014
A uniformly convergent discretization method for a singularly perturbed boundary value problem of the fourth order. Zbl 0719.65067
Roos, Hans-Görg
5
1989
Gradient recovery for singularly perturbed boundary value problems. II: Two-dimensional convection-diffusion. Zbl 1014.65122
Roos, Hans-Görg; Linß, Torsten
5
2001
Uniform superconvergence of a finite element method with edge stabilization for convection-diffusion problems. Zbl 1224.65246
Franz, Sebastian; Linß, Torsten; Roos, Hans-Görg; Schiller, Sebastian
5
2010
Feedback grid generation via monotone discretization for two-point boundary-value problems. Zbl 0655.65105
Grossmann, Ch.; Roos, H.-G.
5
1986
The combination technique for a two-dimensional convection-diffusion problem with exponential layers. Zbl 1212.65443
Franz, Sebastian; Liu, Fang; Roos, Hans-Görg; Stynes, Martin; Zhou, Aihui
4
2009
An analytically oriented discretization technique for boundary value problems. Zbl 0776.65057
Roos, H.-G.
4
1991
The discontinuous Galerkin finite element method for singularly perturbed problems. Zbl 1043.65130
Roos, Hans-Görg; Zarin, Helena
4
2003
Uniform convergence of an upwind finite element method on layer-adapted grids. Zbl 0997.76049
Schneider, Dyrk; Roos, Hans-Görg; Linß, Torsten
4
2001
A modified Bakhvalov mesh. Zbl 1312.65122
Roos, Hans-Goerg; Teofanov, Ljiljana; Uzelac, Zorica
4
2014
Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems. Zbl 1443.74221
Franz, Sebastian; Roos, Hans-Görg
4
2016
Analysis of a strongly coupled system of two convection-diffusion equations with full layer interaction. Zbl 1220.65101
Roos, Hans-G.; Reibiger, Christian
4
2011
A uniformly accurate finite volume discretization for a convection-diffusion problem. Zbl 1024.65108
Wollstein, Dirk; Linß, Torsten; Roos, Hans-Görg
4
2002
Superconvergence of a Galerkin FEM for higher-order elements in convection-diffusion problems. Zbl 1324.65137
Franz, Sebastian; Roos, H.-G.
4
2014
A nonconforming uniformly convergent finite element method in two dimensions. Zbl 0869.65068
Roos, H.-G.; Adam, D.; Felgenhauer, A.
3
1994
Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D. Zbl 1249.65248
Roos, Hans-Görg; Schopf, Martin
3
2012
Special features of strongly coupled systems of convection-diffusion equations with two small parameters. Zbl 1246.65124
Roos, Hans-G.
3
2012
Higher order uniformly convergent methods for singular perturbation problems. Zbl 0824.65079
Roos, Hans-Görg
3
1994
Convergence and supercloseness of a finite element method for a singularly perturbed convection-diffusion problem on an L-shaped domain. Zbl 1433.65308
Ludwig, Lars; Roos, Hans-Goerg
3
2016
Uniformly convergent difference schemes for a singularly perturbed third order boundary value problem. Zbl 1321.65122
Roos, Hans-Goerg; Teofanov, Ljiljana; Uzelac, Zorica
3
2015
Error estimation in energy norms: is it necessary to fit the mesh to boundary layers. Zbl 1352.65542
Roos, Hans-G.; Schopf, Martin
2
2013
An optimal a priori error estimate in the maximum norm for the Il’in scheme in 2D. Zbl 1479.65017
Roos, H.-G.; Schopf, M.
2
2015
Finite element method. An introduction. 3., überarb. u. erw. Aufl. (Finite-Element-Methode. Eine Einführung.) Zbl 0780.65066
Goering, Herbert; Roos, Hans-Görg; Tobiska, Lutz
2
1993
A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation. Zbl 1171.65058
Roos, Hans-Görg; Vanselow, Reiner
2
2008
Die asymptotische Lösung einer linearen Differentialgleichung zweiter Ordnung mit zweisegmentigem charakteristischen Polygon. Zbl 0271.34068
Roos, Hans-Görg
2
1975
Die asymptotische Lösung einer linearen Differentialgleichung mit dreisegmentigem charakteristischen Polygon. Zbl 0429.34055
Roos, H.-G.
2
1979
A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem. Zbl 1398.65186
Zarin, Helena; Roos, Hans-Görg; Teofanov, Ljiljana
2
2018
Uniform enclosure of high order for boundary value problems by monotone discretization. Zbl 0673.34025
Großmann, Ch.; Roos, H.-G.
2
1989
A note on Jordan automorphisms. Zbl 0575.46054
Roos, H.
2
1985
Some properties of the discontinuous Galerkin method for one-dimensional singularly perturbed problems. Zbl 1087.65080
Roos, Hans-Görg; Zarin, Helena
1
2003
Monotony preserving upwind schemes in the two-dimensional case. (Monotonieerhaltende upwind-Schemata im zweidimensionalen Fall.) Zbl 0770.65071
Kratsch, F.; Roos, H.-G.
1
1992
A convergence result for the Tau method. Zbl 0745.65052
Roos, H.-G.; Pfeifer, E.
1
1990
Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems. Zbl 0766.46046
Duffield, N. G.; Roos, H.; Werner, R. F.
1
1992
Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers. Zbl 0870.65091
Ross, Hans-Görg; Stynes, Martin
1
1996
The numerical analysis of partial differential equations. 3rd revised and expanded ed. (Numerische Behandlung partieller Differentialgleichungen.) Zbl 1086.65109
Großmann, Christian; Roos, Hans-Görg
1
2005
Finite elements on locally uniform meshes for convection-diffusion problems with boundary layers. Zbl 1228.65129
Roos, Hans-Görg; Schopf, Martin
1
2011
Book review of: D. A. Di Pietro and A. Ern, Mathematical aspects of discontinuous Galerkin methods. Zbl 1333.00016
Roos, H.-G.
1
2013
Superconvergence for convection-diffusion problems with low regularity. Zbl 1313.65292
Ludwig, Lars; Roos, Hans-Görg
1
2012
A higher order uniform convergence result for a turning point problem. Zbl 0796.34039
Roos, H.-G.; Vulanović, R.
1
1993
Nitsche-mortaring for singularly perturbed convection-diffusion problems. Zbl 1253.65189
Linß, Torsten; Roos, Hans-Görg; Schopf, Martin
1
2012
The streamline-diffusion method for a convection-diffusion problem with a point source. Zbl 1201.76121
Roos, Hans-Görg; Zarin, Helena
1
2003
Layer structure and the Galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales. Zbl 1332.65116
Roos, Hans-Görg; Schopf, Martin
1
2015
On a stabilization effect of thin submeshes for convection-diffusion problems. Zbl 0989.65072
Roos, H.-G.
1
2001
Die Konstruktion eines asymptotischen Fundamentalsystems für eine lineare Differentialgleichung vom hydrodynamischen Typ. Zbl 0337.34054
Roos, H.-G.
1
1976
On the finite element approximation of fourth-order singularly perturbed eigenvalue problems. Zbl 1485.65123
Roos, Hans-Görg; Savvidou, Despo; Xenophontos, Christos
1
2022
Numerical treatment of singularly perturbed fourth-order two-parameter problems. Zbl 1420.65079
Brdar, Mirjana; Franz, Sebastian; Roos, Hans-Görg
1
2019
Convergence analysis of higher order monotone discretization. Zbl 0675.65081
Großmann, Christian; Roos, Hans-Görg
1
1989
Implementation of Jordan-isomorphisms for general von Neumann algebras. Zbl 0676.46046
Rieckers, A.; Roos, H.
1
1989
On the finite element approximation of fourth-order singularly perturbed eigenvalue problems. Zbl 1485.65123
Roos, Hans-Görg; Savvidou, Despo; Xenophontos, Christos
1
2022
Numerical treatment of singularly perturbed fourth-order two-parameter problems. Zbl 1420.65079
Brdar, Mirjana; Franz, Sebastian; Roos, Hans-Görg
1
2019
A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem. Zbl 1398.65186
Zarin, Helena; Roos, Hans-Görg; Teofanov, Ljiljana
2
2018
Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems. Zbl 1443.74221
Franz, Sebastian; Roos, Hans-Görg
4
2016
Convergence and supercloseness of a finite element method for a singularly perturbed convection-diffusion problem on an L-shaped domain. Zbl 1433.65308
Ludwig, Lars; Roos, Hans-Goerg
3
2016
Convergence and stability in balanced norms of finite element methods on Shishkin meshes for reaction-diffusion problems. Zbl 1326.65163
Roos, Hans-Görg; Schopf, Martin
31
2015
Some open questions in the numerical analysis of singularly perturbed differential equations. Zbl 1329.65278
Roos, Hans-Görg; Stynes, Martin
16
2015
Graded meshes for higher order FEM. Zbl 1340.65158
Roos, Hans-Görg; Teofanov, Ljiljana; Uzelac, Zorica
13
2015
Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers. Zbl 1321.65120
Becher, S.; Roos, H.-G.
12
2015
Uniformly convergent difference schemes for a singularly perturbed third order boundary value problem. Zbl 1321.65122
Roos, Hans-Goerg; Teofanov, Ljiljana; Uzelac, Zorica
3
2015
An optimal a priori error estimate in the maximum norm for the Il’in scheme in 2D. Zbl 1479.65017
Roos, H.-G.; Schopf, M.
2
2015
Layer structure and the Galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales. Zbl 1332.65116
Roos, Hans-Görg; Schopf, Martin
1
2015
Error estimation in a balanced norm for a convection-diffusion problem with two different boundary layers. Zbl 1314.65141
Franz, Sebastian; Roos, Hans-Görg
18
2014
A \(C^{0}\) interior penalty method for a singularly-perturbed fourth-order elliptic problem on a layer-adapted mesh. Zbl 1293.65151
Franz, Sebastian; Roos, Hans-Görg; Wachtel, Andreas
12
2014
An optimal uniform a priori error estimate for an unsteady singularly perturbed problem. Zbl 1310.65108
Vlasak, Miloslav; Roos, Hans-Görg
6
2014
Finite element superconvergence on Shishkin meshes for convection-diffusion problems with corner singularities. Zbl 1293.65143
Ludwig, Lars; Roos, Hans-Görg
6
2014
A modified Bakhvalov mesh. Zbl 1312.65122
Roos, Hans-Goerg; Teofanov, Ljiljana; Uzelac, Zorica
4
2014
Superconvergence of a Galerkin FEM for higher-order elements in convection-diffusion problems. Zbl 1324.65137
Franz, Sebastian; Roos, H.-G.
4
2014
Error estimation in energy norms: is it necessary to fit the mesh to boundary layers. Zbl 1352.65542
Roos, Hans-G.; Schopf, Martin
2
2013
Book review of: D. A. Di Pietro and A. Ern, Mathematical aspects of discontinuous Galerkin methods. Zbl 1333.00016
Roos, H.-G.
1
2013
Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012. Zbl 1264.65116
Roos, Hans-Görg
14
2012
A note on the convergence analysis of a diffuse-domain approach. Zbl 1284.35068
Franz, Sebastian; Gärtner, Roland; Roos, Hans-Görg; Voigt, Axel
6
2012
Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D. Zbl 1249.65248
Roos, Hans-Görg; Schopf, Martin
3
2012
Special features of strongly coupled systems of convection-diffusion equations with two small parameters. Zbl 1246.65124
Roos, Hans-G.
3
2012
Superconvergence for convection-diffusion problems with low regularity. Zbl 1313.65292
Ludwig, Lars; Roos, Hans-Görg
1
2012
Nitsche-mortaring for singularly perturbed convection-diffusion problems. Zbl 1253.65189
Linß, Torsten; Roos, Hans-Görg; Schopf, Martin
1
2012
The capriciousness of numerical methods for singular perturbations. Zbl 1233.65054
Franz, Sebastian; Roos, Hans-Görg
14
2011
Numerical analysis of a system of singularly perturbed convection-diffusion equations related to optimal control. Zbl 1265.65123
Roos, Hans-Görg; Reibiger, Christian
11
2011
Two-sided bounds of the discretization error for finite elements. Zbl 1269.65113
Křížek, Michal; Roos, Hans-Goerg; Chen, Wei
6
2011
Analysis of a strongly coupled system of two convection-diffusion equations with full layer interaction. Zbl 1220.65101
Roos, Hans-G.; Reibiger, Christian
4
2011
Finite elements on locally uniform meshes for convection-diffusion problems with boundary layers. Zbl 1228.65129
Roos, Hans-Görg; Schopf, Martin
1
2011
BDF-FEM for parabolic singularly perturbed problems with exponential layers on layer-adapted meshes in space. Zbl 1208.65146
Dolejší, Vit; Roos, Hans-Geörg
8
2010
Parabolic singularly perturbed problems with exponential layers: robust discretizations using finite elements in space on Shishkin meshes. Zbl 1195.65121
Kaland, Lena; Roos, Hans-Görg
6
2010
Uniform superconvergence of a finite element method with edge stabilization for convection-diffusion problems. Zbl 1224.65246
Franz, Sebastian; Linß, Torsten; Roos, Hans-Görg; Schiller, Sebastian
5
2010
The combination technique for a two-dimensional convection-diffusion problem with exponential layers. Zbl 1212.65443
Franz, Sebastian; Liu, Fang; Roos, Hans-Görg; Stynes, Martin; Zhou, Aihui
4
2009
Robust numerical methods for singularly perturbed differential equations. Convection-diffusion-reaction and flow problems. 2nd ed. Zbl 1155.65087
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
364
2008
Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers. Zbl 1221.65292
Franz, S.; Linß, T.; Roos, H.-G.
27
2008
An elliptic singularly perturbed problem with two parameters. II: Robust finite element solution. Zbl 1151.35021
Teofanov, Lj.; Roos, H.-G.
16
2008
A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation. Zbl 1171.65058
Roos, Hans-Görg; Vanselow, Reiner
2
2008
Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of ‘Numerische Behandlung partieller Differentialgleichungen’ by Martin Stynes. Zbl 1180.65147
Grossmann, Christian; Roos, Hans-Görg; Stynes, Martin
42
2007
An elliptic singularly perturbed problem with two parameters. I: Solution decomposition. Zbl 1151.35338
Teofanov, Lj.; Roos, H.-G.
19
2007
A supercloseness result for the discontinuous Galerkin stabilization of convection-diffusion problems on Shishkin meshes. Zbl 1145.65100
Roos, Hans-Görg; Zarin, Helena
13
2007
Error estimates for linear finite elements on Bakhvalov-type meshes. Zbl 1164.65486
Roos, Hans-Görg
18
2006
Superconvergence on a hybrid mesh for singularly perturbed problems with exponential layers. Zbl 1097.65107
Roos, Hans-Görg
10
2006
Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers. Zbl 1100.65105
Zarin, Helena; Roos, Hans-Görg
24
2005
The numerical analysis of partial differential equations. 3rd revised and expanded ed. (Numerische Behandlung partieller Differentialgleichungen.) Zbl 1086.65109
Großmann, Christian; Roos, Hans-Görg
1
2005
Analysis of a finite-difference scheme for a singularly perturbed problem with two small parameters. Zbl 1043.65089
Linß, Torsten; Roos, Hans-Görg
36
2004
The SDFEM for a convection-diffusion problem with two small parameters. Zbl 1034.65064
Roos, Hans-Görg; Uzelac, Zorica
36
2003
The streamline-diffusion method for a convection–diffusion problem with a point source. Zbl 1016.65054
Roos, Hans-Görg; Zarin, Helena
13
2003
The discontinuous Galerkin finite element method for singularly perturbed problems. Zbl 1043.65130
Roos, Hans-Görg; Zarin, Helena
4
2003
Some properties of the discontinuous Galerkin method for one-dimensional singularly perturbed problems. Zbl 1087.65080
Roos, Hans-Görg; Zarin, Helena
1
2003
The streamline-diffusion method for a convection-diffusion problem with a point source. Zbl 1201.76121
Roos, Hans-Görg; Zarin, Helena
1
2003
A second-order scheme for singularly perturbed differential equations with discontinuous source term. Zbl 1023.65077
Roos, H.-G.; Zarin, H.
19
2002
Optimal convergence of basic schemes for elliptic boundary value problems with strong parabolic layers. Zbl 1051.65109
Roos, Hans-Görg
14
2002
A uniformly accurate finite volume discretization for a convection-diffusion problem. Zbl 1024.65108
Wollstein, Dirk; Linß, Torsten; Roos, Hans-Görg
4
2002
Defect correction on Shishkin-type meshes. Zbl 0976.65074
Fröhner, Anja; Linß, Torsten; Roos, Hans-Görg
14
2001
The \(\varepsilon\)-uniform convergence of a defect correction method on a Shishkin mesh. Zbl 0978.65069
Fröhner, Anja; Roos, Hans-Görg
8
2001
Gradient recovery for singularly perturbed boundary value problems. I: One-dimensional convection-diffusion. Zbl 0977.65068
Roos, H.-G.; Linß, T.
6
2001
Gradient recovery for singularly perturbed boundary value problems. II: Two-dimensional convection-diffusion. Zbl 1014.65122
Roos, Hans-Görg; Linß, Torsten
5
2001
Uniform convergence of an upwind finite element method on layer-adapted grids. Zbl 0997.76049
Schneider, Dyrk; Roos, Hans-Görg; Linß, Torsten
4
2001
On a stabilization effect of thin submeshes for convection-diffusion problems. Zbl 0989.65072
Roos, H.-G.
1
2001
Uniform pointwise convergence on Shishkin-type meshes for quasi-linear convection-diffusion problems. Zbl 0977.65067
Linß, Torsten; Roos, Hans-Görg; Vulanovic, Relja
41
2000
Sufficient conditions for uniform convergence on layer-adapted grids. Zbl 0931.65085
Roos, H.-G.; Linß, T.
69
1999
Anisotropic mesh refinement for problems with internal and boundary layers. Zbl 0965.76047
Skalický, T.; Roos, H.-G.
10
1999
Layer-adapted grids for singular perturbation problems. Zbl 0905.65095
Roos, H.-G.
49
1998
The midpoint upwind scheme. Zbl 0877.65055
Stynes, Martin; Roos, Hans-Görg
83
1997
A priori estimates for the solution of convection-diffusion problems and interpolation on Shishkin meshes. Zbl 0892.35014
Dobrowolski, M.; Roos, H.-G.
23
1997
A comparison of the finite element method on Shishkin and Gartland-type meshes for convection-diffusion problems. Zbl 0908.65099
Roos, H.-G.; Skalický, T.
8
1997
Numerical methods for singularly perturbed differential equations. Convection-diffusion and flow problems. Zbl 0844.65075
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
286
1996
A note on the conditioning of upwind schemes on Shishkin meshes. Zbl 0861.65066
Roos, Hans-Görg
25
1996
A novel nonconforming uniformly convergent finite element method in two dimensions. Zbl 0859.65118
Roos, Hans-Görg; Adam, Dirk; Felgenhauer, Andreas
9
1996
Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers. Zbl 0870.65091
Ross, Hans-Görg; Stynes, Martin
1
1996
A nonconforming finite element method for a singularly perturbed boundary value problem. Zbl 0813.65105
Adam, D.; Felgenhauer, A.; Roos, H.-G.; Stynes, M.
6
1995
Ten ways to generate the Il’in and related schemes. Zbl 0817.65063
Roos, Hans-Görg
27
1994
The numerical analysis of partial differential equations. 2., durchges. Aufl. (Numerik partieller Differentialgleichungen.) Zbl 0822.65055
Großmann, Christian; Roos, Hans-Görg
8
1994
A nonconforming uniformly convergent finite element method in two dimensions. Zbl 0869.65068
Roos, H.-G.; Adam, D.; Felgenhauer, A.
3
1994
Higher order uniformly convergent methods for singular perturbation problems. Zbl 0824.65079
Roos, Hans-Görg
3
1994
Finite element method. An introduction. 3., überarb. u. erw. Aufl. (Finite-Element-Methode. Eine Einführung.) Zbl 0780.65066
Goering, Herbert; Roos, Hans-Görg; Tobiska, Lutz
2
1993
A higher order uniform convergence result for a turning point problem. Zbl 0796.34039
Roos, H.-G.; Vulanović, R.
1
1993
Numerics of partial differential equations. (Numerik partieller Differentialgleichungen.) Zbl 0755.65087
Großmann, Christian; Roos, Hans-Görg
7
1992
Monotony preserving upwind schemes in the two-dimensional case. (Monotonieerhaltende upwind-Schemata im zweidimensionalen Fall.) Zbl 0770.65071
Kratsch, F.; Roos, H.-G.
1
1992
Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems. Zbl 0766.46046
Duffield, N. G.; Roos, H.; Werner, R. F.
1
1992
A uniformly convergent discretization method for a fourth order singular perturbation problem. Zbl 0747.65066
Roos, Hans-Görg; Stynes, Martin
21
1991
An analytically oriented discretization technique for boundary value problems. Zbl 0776.65057
Roos, H.-G.
4
1991
Global uniformly convergent schemes for a singularly perturbed boundary- value problem using patched base spline-functions. Zbl 0686.65048
Roos, H.-G.
15
1990
A convergence result for the Tau method. Zbl 0745.65052
Roos, H.-G.; Pfeifer, E.
1
1990
A uniformly convergent discretization method for a singularly perturbed boundary value problem of the fourth order. Zbl 0719.65067
Roos, Hans-Görg
5
1989
Uniform enclosure of high order for boundary value problems by monotone discretization. Zbl 0673.34025
Großmann, Ch.; Roos, H.-G.
2
1989
Convergence analysis of higher order monotone discretization. Zbl 0675.65081
Großmann, Christian; Roos, Hans-Görg
1
1989
Implementation of Jordan-isomorphisms for general von Neumann algebras. Zbl 0676.46046
Rieckers, A.; Roos, H.
1
1989
A convergence result for the Tau method. Zbl 0677.65086
Roos, H.-G.; Pfeifer, E.
1
1989
An enclosure generating modification of the method of discretization in time. Zbl 0635.65122
Koeppe, G.; Roos, H.-G.; Tobiska, L.
1
1987
A second order monotone upwind scheme. Zbl 0572.65063
Roos, H.-G.
11
1986
Gleichmäßig einschließende Diskretisierungsverfahren für schwach nichtlineare Randwertaufgaben. (Uniformly enclosing discretization methods for weakly nonlinear boundary value problems). Zbl 0621.65092
Großmann, C.; Krätzschmar, M.; Roos, H.-G.
8
1986
Feedback grid generation via monotone discretization for two-point boundary-value problems. Zbl 0655.65105
Grossmann, Ch.; Roos, H.-G.
5
1986
Necessary convergence conditions for upwind schemes in the two- dimensional case. Zbl 0578.65098
Roos, H.-G.
9
1985
A note on Jordan automorphisms. Zbl 0575.46054
Roos, H.
2
1985
Singularly perturbed differential equations. Zbl 0522.35003
Goering, Herbert; Felgenhauer, Andreas; Lube, Gert; Roos, Hans-Goerg; Tobiska, Lutz
14
1983
Die asymptotische Lösung einer linearen Differentialgleichung mit dreisegmentigem charakteristischen Polygon. Zbl 0429.34055
Roos, H.-G.
2
1979
Die Konstruktion eines asymptotischen Fundamentalsystems für eine lineare Differentialgleichung vom hydrodynamischen Typ. Zbl 0337.34054
Roos, H.-G.
1
1976
...and 2 more Documents
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Cited by 1,017 Authors

44 Roos, Hans-Görg
32 Natesan, Srinivasan
32 Stynes, Martin
25 Franz, Sebastian
25 Linß, Torsten
25 Shishkin, Grigoriĭ Ivanovich
24 O’Riordan, Eugene
22 Kadalbajoo, Mohan K.
21 Liu, Xiaowei
20 John, Volker
20 Zhang, Jin
17 Cen, Zhongdi
16 Duressa, Gemechis File
15 Boglaev, Igor P.
15 Gracia, José Luis
15 Kaushik, Aditya
14 Amiraliyev, Gabil M.
14 Clavero, Carmelo
14 Knobloch, Petr
14 Tobiska, Lutz
13 Grossmann, Christian
13 Liu, Li-Bin
13 Matthies, Gunar
13 Tamilselvan, Ayyadurai
13 Teofanov, Ljiljana
13 Vulanović, Relja
13 Xenophontos, Christos A.
13 Zarin, Helena
12 Li, Jichun
12 Lube, Gert
12 Nhan, Thái Anh
11 Kumar, Sunil
11 Madden, Niall
10 Çakır, Musa
10 Kopteva, Natalia Viktorovna
10 Mohapatra, Jugal
9 Dolejší, Vít
9 Kumar, Mukesh
9 Miller, John James Henry
9 Patidar, Kailash C.
9 Rai, Pratima
9 Ramos, Juan I.
9 Sharma, Kapil Kumar
9 Xu, Aimin
9 Zhu, Peng
8 Brdar, Mirjana
8 Erdogan, Fevzi
8 Mukherjee, Kaushik
8 Rao, S. Chandra Sekhara
8 Valanarasu, T.
8 Valarmathi, Sigamani
8 Woldaregay, Mesfin Mekuria
8 Zhang, Zhimin
7 Chen, Yanping
7 Feistauer, Miloslav
7 Gosse, Laurent
7 Gupta, Vikas
7 Huang, Zhongyi
7 Jorge, Juan Carlos
7 Kellogg, Bruce
7 Le, Anbo
7 Novo, Julia
7 Sharma, Manju
6 Ahmed, Naveed
6 Barrenechea, Gabriel R.
6 Bawa, Rajesh Kumar
6 Cheng, Yao
6 Cimen, Erkan
6 Jung, Changyeol
6 Layton, William J.
6 Linke, Alexander
6 Ramesh, V. P.
6 Schopf, Martin
6 Wang, Song
6 Xu, Jinchao
6 Zadorin, Aleksandr Ivanovich
5 Apel, Thomas
5 Babu, A. Ramesh
5 Bansal, Komal
5 Chen, Shaochun
5 Das, Pratibhamoy
5 de Frutos, Javier
5 Farrell, Paul A.
5 Kumar, Devendra
5 Lin, Qun
5 Lin, Runchang
5 Lisbona Cortés, Francisco Javier
5 Long, Guangqing
5 Lv, Yanhui
5 Otárola, Enrique
5 Pickett, Maria L.
5 Sendur, Ali
5 Singh, Gautam B.
5 Subburayan, Veerasamy
5 Temam, Roger Meyer
5 Uzelac, Zorica
5 Wang, Hong
5 Xie, Hehu
5 Zhang, Shangyou
5 Zhu, Huiqing
...and 917 more Authors
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Cited in 171 Serials

96 Journal of Computational and Applied Mathematics
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26 International Journal of Computer Mathematics
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20 Computing
20 Advances in Computational Mathematics
18 Calcolo
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18 Numerical Methods for Partial Differential Equations
18 Journal of Applied Mathematics and Computing
17 Applied Mathematics Letters
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15 BIT
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14 Applications of Mathematics
14 International Journal of Computational Methods
13 Advances in Difference Equations
11 Journal of Optimization Theory and Applications
11 SIAM Journal on Numerical Analysis
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Journal of Mathematical Analysis and Applications
10 Computational Mathematics and Mathematical Physics
8 Differential Equations and Dynamical Systems
7 Computational Methods in Applied Mathematics
7 Journal of Numerical Mathematics
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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5 Numerical Functional Analysis and Optimization
5 SIAM Journal on Scientific Computing
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4 Mathematical Methods in the Applied Sciences
4 Turkish Journal of Mathematics
4 ETNA. Electronic Transactions on Numerical Analysis
4 Journal of Difference Equations and Applications
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Journal of Applied Mathematics
4 S\(\vec{\text{e}}\)MA Journal
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2 Mathematical Problems in Engineering
2 Mathematical Communications
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2 Novi Sad Journal of Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
2 Engineering Computations
2 Nonlinear Analysis. Real World Applications
2 Journal of Systems Science and Complexity
2 Iranian Journal of Science and Technology. Transaction A: Science
2 Central European Journal of Mathematics
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 International Journal of Numerical Analysis and Modeling
2 Communications in Computational Physics
2 Advances in Applied Mathematics and Mechanics
2 Numerical Algebra, Control and Optimization
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