Hans-Görg Roos

Publication Activity (10 Years)

Years Active: 1986-2023
Publications (10 Years): 12

Top Topics

Eigenvalue Problems

Numerical Analysis

Diffusion Process

Top Venues

Comput. Math. Appl.

Comput. Methods Appl. Math.

J. Comput. Appl. Math.

Publications

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 (2023)
Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos
A time dependent singularly perturbed problem with shift in space. CoRR (2022)
Hans-Görg Roos
Remarks on boundary layers in singularly perturbed Caputo fractional boundary value problems. CoRR (2022)
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 (2022)
Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos
Numerical analysis of a singularly perturbed convection diffusion problem with shift in space. CoRR (2022)
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) (2022)
Hans-Görg Roos
Robust Numerical Methods for Singularly Perturbed Differential Equations-Supplements. CoRR (2022)
Hans-Görg Roos, Despo Savvidou, Christos Xenophontos
On the finite element approximation of fourth order singularly perturbed eigenvalue problems. CoRR (2021)
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 (2021)
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 (2020)
Sebastian Franz, Hans-Görg Roos
Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems. Comput. Math. Appl. 72 (1) (2016)
Hans-Görg Roos, Martin Stynes
Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations. Comput. Methods Appl. Math. 15 (4) (2015)
Hans-Görg Roos, Zorica Uzelac
Qualocation for a singularly perturbed boundary value problem. J. Comput. Appl. Math. 237 (1) (2013)
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) (2012)
Hans-Görg Roos, Lutz Tobiska
Martin Stynes - 60. Comput. Methods Appl. Math. 12 (2) (2012)
Torsten Linß, Hans-Görg Roos, Martin Schopf
Nitsche-mortaring for singularly perturbed convection-diffusion problems. Adv. Comput. Math. 36 (4) (2012)
Hans-Görg Roos, Martin Schopf
Error Estimation in Energy Norms: Is It Necessary to Fit the Mesh to Boundary Layers. NAA (2012)
Hans-Görg Roos
Special features of strongly coupled systems of convection-diffusion equations with two small parameters. Appl. Math. Lett. 25 (8) (2012)
Sebastian Franz, Hans-Görg Roos
The Capriciousness of Numerical Methods for Singular Perturbations. SIAM Rev. 53 (1) (2011)
Christian Grossmann, Lars Ludwig, Hans-Görg Roos
Layer-adapted methods for a singularly perturbed singular problem. Comput. Methods Appl. Math. 11 (2) (2011)
Hans-Görg Roos, Martin Schopf
Finite elements on locally uniform meshes for convection-diffusion problems with boundary layers. Computing 92 (4) (2011)
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) (2010)
Helena Zarin, Hans-Görg Roos
Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers. Numerische Mathematik 100 (4) (2005)
Hans-Görg Roos, Helena Zarin
A second-order scheme for singularly perturbed differential equations with discontinuous source term. J. Num. Math. 10 (4) (2002)
Hans-Görg Roos, Torsten Linß
Gradient Recovery for Singularly Perturbed Boundary Value Problems I: One-Dimensional Convection-Diffusion. Computing 66 (2) (2001)
Anja Fröhner, Torsten Linß, Hans-Görg Roos
Defect correction on Shishkin-type meshes. Numer. Algorithms 26 (3) (2001)
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) (2000)
Hans-Görg Roos
Sufficient Conditions for Uniform Convergence on Layer-Adapted Grids. Computing 63 (1) (1999)
D. Adam, A. Felgenhauer, Hans-Görg Roos, Martin Stynes
A Nonconforming Finite Element Method for a Singularly Petrurbed Boundary Value Problem. Computing 54 (1) (1995)
Hans-Görg Roos, E. Pfeifer
A convergence result for the Tau method. Computing 42 (1) (1989)
Hans-Görg Roos
A second order monotone upwind scheme. Computing 36 (1-2) (1986)