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Hans-Görg Roos
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2020 – today
- 2023
- [j27]Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos:
A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space. Appl. Math. Comput. 437: 127507 (2023) - [i11]Mirjana Brdar, Sebastian Franz, Hans-Goerg Roos:
A convection-diffusion problem with a large shift on Duran meshes. CoRR abs/2304.10937 (2023) - 2022
- [j26]Yao Cheng, Yanjie Mei, Hans-Görg Roos:
The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems. Comput. Math. Appl. 117: 245-256 (2022) - [j25]Hans-Görg Roos, Despo Savvidou, Christos Xenophontos:
On the Finite Element Approximation of Fourth-Order Singularly Perturbed Eigenvalue Problems. Comput. Methods Appl. Math. 22(2): 465-476 (2022) - [i10]Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos:
A time dependent singularly perturbed problem with shift in space. CoRR abs/2202.01601 (2022) - [i9]Hans-Goerg Roos:
Layer-adapted meshes for weak boundary layers. CoRR abs/2204.06188 (2022) - [i8]Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos:
Numerical analysis of a singularly perturbed convection diffusion problem with shift in space. CoRR abs/2207.09218 (2022) - [i7]Hans-Görg Roos:
Remarks on boundary layers in singularly perturbed Caputo fractional boundary value problems. CoRR abs/2209.02993 (2022) - [i6]Hans-Görg Roos:
Robust Numerical Methods for Singularly Perturbed Differential Equations-Supplements. CoRR abs/2209.02994 (2022) - 2021
- [j24]Mirjana Brdar, Goran Radojev, Hans-Görg Roos, Ljiljana Teofanov:
Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers. Comput. Math. Appl. 93: 50-57 (2021) - [i5]Hans-Görg Roos, Despo Savvidou, Christos Xenophontos:
On the finite element approximation of fourth order singularly perturbed eigenvalue problems. CoRR abs/2107.06553 (2021) - 2020
- [i4]Hans-Goerg Roos, Martin Schopf:
A convection-diffusion problem with a small variable diffusion coefficient. CoRR abs/2001.04115 (2020) - [i3]Mirjana Brdar, Goran Radojev, Hans-Görg Roos, Ljiljana Teofanov:
Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers. CoRR abs/2011.05737 (2020) - [i2]Yao Cheng, Yanjie Mei, Hans-Goerg Roos:
The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems. CoRR abs/2012.03560 (2020)
2010 – 2019
- 2019
- [i1]Hans-Goerg Roos:
Layer-adapted meshes: Milestones in 50 years of history. CoRR abs/1909.08273 (2019) - 2016
- [j23]Sebastian Franz, Hans-Görg Roos:
Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems. Comput. Math. Appl. 72(1): 233-247 (2016) - 2015
- [j22]Hans-Görg Roos, Martin Stynes:
Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations. Comput. Methods Appl. Math. 15(4): 531-550 (2015) - [j21]Simon Becher, Hans-Goerg Roos:
Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers. J. Comput. Appl. Math. 290: 334-351 (2015) - 2014
- [j20]Hans-Goerg Roos, Ljiljana Teofanov, Zorica Uzelac:
A modified Bakhvalov mesh. Appl. Math. Lett. 31: 7-11 (2014) - 2013
- [j19]Hans-Görg Roos, Zorica Uzelac:
Qualocation for a singularly perturbed boundary value problem. J. Comput. Appl. Math. 237(1): 556-564 (2013) - 2012
- [j18]Torsten Linß, Hans-Görg Roos, Martin Schopf:
Nitsche-mortaring for singularly perturbed convection-diffusion problems. Adv. Comput. Math. 36(4): 581-603 (2012) - [j17]Hans-Görg Roos:
Special features of strongly coupled systems of convection-diffusion equations with two small parameters. Appl. Math. Lett. 25(8): 1127-1130 (2012) - [j16]Hans-Görg Roos, Lutz Tobiska:
Martin Stynes - 60. Comput. Methods Appl. Math. 12(2): 121-122 (2012) - [j15]Sebastian Franz, Hans-Görg Roos, Roland Gärtner, Axel Voigt:
A Note on the Convergence Analysis of a Diffuse-domain Approach. Comput. Methods Appl. Math. 12(2): 153-167 (2012) - [c1]Hans-Görg Roos, Martin Schopf:
Error Estimation in Energy Norms: Is It Necessary to Fit the Mesh to Boundary Layers. NAA 2012: 95-109 - 2011
- [j14]Christian Grossmann, Ranjan Kumar Mohanty, Hans-Goerg Roos:
A direct higher order discretization in singular perturbations via domain split - A computational approach. Appl. Math. Comput. 217(22): 9302-9312 (2011) - [j13]Christian Grossmann, Lars Ludwig, Hans-Görg Roos:
Layer-adapted methods for a singularly perturbed singular problem. Comput. Methods Appl. Math. 11(2): 192-205 (2011) - [j12]Hans-Görg Roos, Martin Schopf:
Finite elements on locally uniform meshes for convection-diffusion problems with boundary layers. Computing 92(4): 285-296 (2011) - [j11]Sebastian Franz, Hans-Görg Roos:
The Capriciousness of Numerical Methods for Singular Perturbations. SIAM Rev. 53(1): 157-173 (2011) - 2010
- [j10]Vít Dolejsí, Hans-Görg Roos:
BDF-FEM for parabolic singularly perturbed problems with exponential layers on layer-adapted meshes in space. Neural Parallel Sci. Comput. 18(2): 221-236 (2010)
2000 – 2009
- 2005
- [j9]Helena Zarin, Hans-Görg Roos:
Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers. Numerische Mathematik 100(4): 735-759 (2005) - 2002
- [j8]Hans-Görg Roos, Helena Zarin:
A second-order scheme for singularly perturbed differential equations with discontinuous source term. J. Num. Math. 10(4): 275-289 (2002) - 2001
- [j7]Hans-Görg Roos, Torsten Linß:
Gradient Recovery for Singularly Perturbed Boundary Value Problems I: One-Dimensional Convection-Diffusion. Computing 66(2): 163-178 (2001) - [j6]Anja Fröhner, Torsten Linß, Hans-Görg Roos:
Defect correction on Shishkin-type meshes. Numer. Algorithms 26(3): 281-299 (2001) - 2000
- [j5]Torsten Linß, Hans-Görg Roos, Relja Vulanovic:
Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems. SIAM J. Numer. Anal. 38(3): 897-912 (2000)
1990 – 1999
- 1999
- [j4]Hans-Görg Roos:
Sufficient Conditions for Uniform Convergence on Layer-Adapted Grids. Computing 63(1): 27-45 (1999) - 1995
- [j3]Dirk Adam, Andreas Felgenhauer, Hans-Görg Roos, Martin Stynes:
A Nonconforming Finite Element Method for a Singularly Petrurbed Boundary Value Problem. Computing 54(1): 1-26 (1995)
1980 – 1989
- 1989
- [j2]Hans-Görg Roos, E. Pfeifer:
A convergence result for the Tau method. Computing 42(1): 81-84 (1989) - 1986
- [j1]Hans-Görg Roos:
A second order monotone upwind scheme. Computing 36(1-2): 57-67 (1986)
Coauthor Index
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