H.‐G. Roos

630 total citations
31 papers, 481 citations indexed

About

H.‐G. Roos is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, H.‐G. Roos has authored 31 papers receiving a total of 481 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Numerical Analysis, 18 papers in Computational Mechanics and 13 papers in Computational Theory and Mathematics. Recurrent topics in H.‐G. Roos's work include Differential Equations and Numerical Methods (23 papers), Advanced Numerical Methods in Computational Mathematics (16 papers) and Advanced Mathematical Modeling in Engineering (12 papers). H.‐G. Roos is often cited by papers focused on Differential Equations and Numerical Methods (23 papers), Advanced Numerical Methods in Computational Mathematics (16 papers) and Advanced Mathematical Modeling in Engineering (12 papers). H.‐G. Roos collaborates with scholars based in Germany, Serbia and France. H.‐G. Roos's co-authors include Manfred Dobrowolski, Helena Zarin, Torsten Linß, Sebastian Franz, Christian Großmann, Alfred Rieckers and Relja Vulanović and has published in prestigious journals such as Mathematics of Computation, International Journal for Numerical Methods in Engineering and Numerische Mathematik.

In The Last Decade

H.‐G. Roos

30 papers receiving 452 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
H.‐G. Roos Germany 13 429 308 280 112 78 31 481
Igor Boglaev New Zealand 12 292 0.7× 163 0.5× 146 0.5× 83 0.7× 66 0.8× 62 325
C. Clavero Spain 17 876 2.0× 505 1.6× 270 1.0× 154 1.4× 151 1.9× 59 908
J.C. Jorge Spain 11 473 1.1× 216 0.7× 187 0.7× 56 0.5× 59 0.8× 38 501
V. Shanthi India 14 506 1.2× 236 0.8× 133 0.5× 132 1.2× 124 1.6× 46 556
Torsten Linß Germany 20 1.3k 3.0× 846 2.7× 722 2.6× 289 2.6× 198 2.5× 42 1.3k
Alan F. Hegarty Ireland 9 982 2.3× 522 1.7× 326 1.2× 255 2.3× 240 3.1× 26 1.0k
Helena Zarin Serbia 11 307 0.7× 205 0.7× 168 0.6× 72 0.6× 45 0.6× 18 315
N. Ramanujam India 20 871 2.0× 349 1.1× 119 0.4× 251 2.2× 213 2.7× 61 892
P. Pramod Chakravarthy India 14 426 1.0× 159 0.5× 55 0.2× 77 0.7× 80 1.0× 44 453
Viktor A. Rukavishnikov Russia 11 120 0.3× 78 0.3× 143 0.5× 68 0.6× 88 1.1× 46 298

Countries citing papers authored by H.‐G. Roos

Since Specialization
Citations

This map shows the geographic impact of H.‐G. 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 H.‐G. Roos with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites H.‐G. Roos more than expected).

Fields of papers citing papers by H.‐G. Roos

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by H.‐G. 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 H.‐G. Roos. The network helps show where H.‐G. Roos may publish in the future.

Co-authorship network of co-authors of H.‐G. Roos

This figure shows the co-authorship network connecting the top 25 collaborators of H.‐G. Roos. A scholar is included among the top collaborators of H.‐G. 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 H.‐G. Roos. H.‐G. Roos is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Roos, H.‐G., et al.. (2015). Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers. Journal of Computational and Applied Mathematics. 290. 334–351. 15 indexed citations
2.
Roos, H.‐G., et al.. (2014). Convergence and stability in balanced norms of finite element methods on Shishkin meshes for reaction‐diffusion problems. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 95(6). 551–565. 50 indexed citations
3.
Roos, H.‐G., et al.. (2013). Finite element superconvergence on Shishkin meshes for convection-diffusion problems with corner singularities. IMA Journal of Numerical Analysis. 34(2). 782–799. 14 indexed citations
4.
Roos, H.‐G., et al.. (2006). An elliptic singularly perturbed problem with two parameters I: Solution decomposition. Journal of Computational and Applied Mathematics. 206(2). 1082–1097. 26 indexed citations
5.
Roos, H.‐G., et al.. (2006). An elliptic singularly perturbed problem with two parameters II: Robust finite element solution. Journal of Computational and Applied Mathematics. 212(2). 374–389. 19 indexed citations
6.
Roos, H.‐G.. (2006). Superconvergence on a hybrid mesh for singularly perturbed problems with exponential layers. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 86(8). 649–655. 11 indexed citations
7.
Großmann, Christian & H.‐G. Roos. (2005). Numerische Behandlung partieller Differentialgleichungen. 19 indexed citations
8.
Roos, H.‐G. & Helena Zarin. (2002). A second-order scheme for singularly perturbed differential equations with discontinuous source term. Journal of Numerical Mathematics. 10(4). 30 indexed citations
9.
Roos, H.‐G., et al.. (1999). Anisotropic mesh refinement for problems with internal and boundary layers. International Journal for Numerical Methods in Engineering. 46(11). 1933–1953. 10 indexed citations
10.
Roos, H.‐G., et al.. (1999). Sufficient Conditions for Uniform Convergence on Layer-Adapted Grids. Computing. 63(1). 27–45. 115 indexed citations
11.
Dobrowolski, Manfred & H.‐G. Roos. (1997). A Priori Estimates for the Solution of Convection-Diffusion Problems and Interpolation on Shishkin Meshes. Zeitschrift für Analysis und ihre Anwendungen. 16(4). 1001–1012. 36 indexed citations
12.
Roos, H.‐G., et al.. (1997). A comparison of the finite element method on Shishkin and Gartland-type meshes for convection-diffusion problems. Data Archiving and Networked Services (DANS). 10. 277–300. 12 indexed citations
13.
Roos, H.‐G. & Relja Vulanović. (1993). A Higher Order Uniform Convergence Result for a Turning Point Problem. Zeitschrift für Analysis und ihre Anwendungen. 12(4). 723–728. 2 indexed citations
14.
Roos, H.‐G.. (1991). An analytically oriented discretization technique for boundary value problems. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 61(1). 139–152. 3 indexed citations
15.
Roos, H.‐G.. (1990). Global uniformly convergent schemes for a singularly perturbed boundary-value problem using patched base spline-functions. Journal of Computational and Applied Mathematics. 29(1). 69–77. 20 indexed citations
16.
Rieckers, Alfred & H.‐G. Roos. (1989). Implementation of Jordan-isomorphisms for general von Neumann algebras. French digital mathematics library (Numdam). 50(1). 95–113. 1 indexed citations
17.
Roos, H.‐G., et al.. (1989). A convergence result for the Tau method. Computing. 42(1). 81–84. 2 indexed citations
18.
Roos, H.‐G., et al.. (1989). Uniform enclosure of high order of boundary value problems by monotone discretization. Mathematics of Computation. 53(188). 609–617. 2 indexed citations
19.
Roos, H.‐G., et al.. (1986). Gleichm��ig einschlie�ende Diskretisierungsverfahren f�r schwach nichtlineare Randwertaufgaben. Numerische Mathematik. 49(1). 95–110. 9 indexed citations
20.
Roos, H.‐G.. (1985). Necessary convergence conditions for upwind schemes in the two‐dimensional case. International Journal for Numerical Methods in Engineering. 21(8). 1459–1469. 14 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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