Hans‐Görg Roos

4.3k total citations · 2 hit papers
61 papers, 3.2k citations indexed

About

Hans‐Görg Roos is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, Hans‐Görg Roos has authored 61 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Numerical Analysis, 36 papers in Computational Theory and Mathematics and 33 papers in Computational Mechanics. Recurrent topics in Hans‐Görg Roos's work include Differential Equations and Numerical Methods (54 papers), Advanced Mathematical Modeling in Engineering (36 papers) and Advanced Numerical Methods in Computational Mathematics (31 papers). Hans‐Görg Roos is often cited by papers focused on Differential Equations and Numerical Methods (54 papers), Advanced Mathematical Modeling in Engineering (36 papers) and Advanced Numerical Methods in Computational Mathematics (31 papers). Hans‐Görg Roos collaborates with scholars based in Germany, Serbia and Ireland. Hans‐Görg Roos's co-authors include Martin Stynes, Lutz Tobiska, Christian Großmann, Torsten Linß, Helena Zarin, Sebastian Franz, Relja Vulanović, Gert Lube, Mirjana Brdar and Vít Dolejší and has published in prestigious journals such as SHILAP Revista de lepidopterología, Computer Methods in Applied Mechanics and Engineering and SIAM Journal on Numerical Analysis.

In The Last Decade

Hans‐Görg Roos

59 papers receiving 3.0k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Numerical Methods for Singularly Perturbed Differential Equations

1996 866 citations Hans‐Görg Roos, Martin Stynes et al. profile →
Robust Numerical Methods for Singularly Perturbed Differential Equations

2008 338 citations Hans‐Görg Roos, Martin Stynes et al. profile →

Peers

Hans‐Görg Roos

CTM

John J. H. Miller Ireland

Miloslav Feistauer Czechia

Jiang Yang China

Martin Stynes Ireland

W.H.A. Schilders Netherlands

I. Gladwell United States

Arnold Reusken Germany

Andy Wathen United Kingdom

Blair Swartz United States

John J. H. Miller Ireland

Hans‐Görg Roos

2.4k ×1.0

946 ×0.5

1.2k ×0.7

CTM

603 ×1.3

560 ×1.4

Citations per year, relative to Hans‐Görg Roos Hans‐Görg Roos (= 1×) peers John J. H. Miller

Countries citing papers authored by Hans‐Görg Roos

Since Specialization

Citations

This map shows the geographic impact of Hans‐Görg Roos's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Hans‐Görg Roos with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Hans‐Görg Roos more than expected).

Fields of papers citing papers by Hans‐Görg Roos

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hans‐Görg Roos. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Hans‐Görg Roos. The network helps show where Hans‐Görg Roos may publish in the future.

Co-authorship network of co-authors of Hans‐Görg Roos

This figure shows the co-authorship network connecting the top 25 collaborators of Hans‐Görg Roos. A scholar is included among the top collaborators of Hans‐Görg Roos based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Hans‐Görg Roos. Hans‐Görg Roos is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Brdar, Mirjana, Sebastian Franz, & Hans‐Görg Roos. (2023). A convection–diffusion problem with a large shift on Durán meshes. CALCOLO. 61(1).

Brdar, Mirjana, et al.. (2023). Numerical analysis of a singularly perturbed convection diffusion problem with shift in space. Applied Numerical Mathematics. 186. 129–142. 5 indexed citations

Roos, Hans‐Görg, et al.. (2022). On the Finite Element Approximation of Fourth-Order Singularly Perturbed Eigenvalue Problems. Computational Methods in Applied Mathematics. 22(2). 465–476. 1 indexed citations

Franz, Sebastian & Hans‐Görg Roos. (2016). Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems. Computers & Mathematics with Applications. 72(1). 233–247. 16 indexed citations

Roos, Hans‐Görg & Martin Stynes. (2015). Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations. Computational Methods in Applied Mathematics. 15(4). 531–550. 30 indexed citations

Roos, Hans‐Görg, et al.. (2011). Numerical Analysis of a System of Singularly Perturbed Convection-Diffusion Equations Related to Optimal Control. Numerical Mathematics Theory Methods and Applications. 4(4). 562–575. 12 indexed citations

Dolejší, Vít & Hans‐Görg Roos. (2010). BDF-FEM for parabolic singularly perturbed problems with exponential layers on layer-adapted meshes in space. Neural, Parallel & Scientific Computations archive. 18(2). 221–236. 6 indexed citations

Roos, Hans‐Görg, et al.. (2008). A COMPARISON OF FOUR- AND FIVE-POINT DIFFERENCE APPROXIMATIONS FOR STABILIZING THE ONE-DIMENSIONAL STATIONARY CONVECTION-DIFFUSION EQUATION. 32. 63–75. 2 indexed citations

Roos, Hans‐Görg & Helena Zarin. (2003). Some properties of the discontinuous Galerkin method for one-dimensional singularly perturbed problems.. Novi Sad Journal of Mathematics. 33(2). 33–42. 2 indexed citations

10.

Roos, Hans‐Görg & Helena Zarin. (2003). The streamline-diffusion method for a convection–diffusion problem with a point source. Journal of Computational and Applied Mathematics. 150(1). 109–128. 25 indexed citations

11.

Linß, Torsten & Hans‐Görg Roos. (2003). Analysis of a finite-difference scheme for a singularly perturbed problem with two small parameters. Journal of Mathematical Analysis and Applications. 289(2). 355–366. 75 indexed citations

12.

Roos, Hans‐Görg, et al.. (2003). The Sdfem for a Convection-diffusion Problem with Two Small Parameters. Computational Methods in Applied Mathematics. 3(3). 443–458. 76 indexed citations

13.

Roos, Hans‐Görg. (1998). Layer-Adapted Grids for Singular Perturbation Problems. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 78(5). 291–309. 81 indexed citations

14.

Roos, Hans‐Görg, Martin Stynes, & Lutz Tobiska. (1996). Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems. Springer eBooks. 372 indexed citations

15.

Roos, Hans‐Görg, et al.. (1996). A Novel Nonconforming Uniformly Convergent Finite Element Method in Two Dimensions. Journal of Mathematical Analysis and Applications. 201(3). 715–755. 15 indexed citations

16.

Roos, Hans‐Görg & Martin Stynes. (1996). Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers. Applications of Mathematics. 41(4). 269–280. 1 indexed citations

17.

Roos, Hans‐Görg. (1994). Ten ways to generate the Il'in and related schemes. Journal of Computational and Applied Mathematics. 53(1). 43–59. 38 indexed citations

18.

Roos, Hans‐Görg. (1989). Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms. Applications of Mathematics. 34(4). 274–284. 1 indexed citations

19.

Roos, Hans‐Görg, et al.. (1987). An enclosure generating modification of the method of discretization in time. Commentationes Mathematicae Universitatis Carolinae. 28(3). 441–447. 2 indexed citations

20.

Roos, Hans‐Görg, et al.. (1983). Singularly Perturbed Differential Equations. 26 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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