Willi Schönauer

540 total citations
27 papers, 362 citations indexed

About

Willi Schönauer is a scholar working on Computational Mechanics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, Willi Schönauer has authored 27 papers receiving a total of 362 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Computational Mechanics, 14 papers in Numerical Analysis and 9 papers in Computational Theory and Mathematics. Recurrent topics in Willi Schönauer's work include Advanced Numerical Methods in Computational Mathematics (15 papers), Numerical methods for differential equations (12 papers) and Matrix Theory and Algorithms (8 papers). Willi Schönauer is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (15 papers), Numerical methods for differential equations (12 papers) and Matrix Theory and Algorithms (8 papers). Willi Schönauer collaborates with scholars based in Germany and Czechia. Willi Schönauer's co-authors include Wolfgang Gentzsch, Philipp Weber and Karl‐Heinz Häfele and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Computer Physics Communications and Computers & Structures.

In The Last Decade

Willi Schönauer

24 papers receiving 330 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Willi Schönauer Germany 7 153 150 108 74 74 27 362
Pierre Ramet France 7 117 0.8× 58 0.4× 77 0.7× 23 0.3× 85 1.1× 24 313
Robert McOwen United States 15 64 0.4× 86 0.6× 48 0.4× 36 0.5× 195 2.6× 30 701
Mihaï Bostan France 11 74 0.5× 30 0.2× 121 1.1× 28 0.4× 70 0.9× 57 359
Robert Speck Germany 10 26 0.2× 17 0.1× 133 1.2× 101 1.4× 61 0.8× 23 270
E. M. Barston United States 10 140 0.9× 140 0.9× 45 0.4× 18 0.2× 29 0.4× 23 324
Christopher J. Garasi United States 9 124 0.8× 44 0.3× 114 1.1× 14 0.2× 37 0.5× 22 286
Marie-Hélène Vignal France 15 93 0.6× 49 0.3× 413 3.8× 71 1.0× 88 1.2× 25 553
A. I. Bobenko Germany 13 51 0.3× 43 0.3× 83 0.8× 86 1.2× 44 0.6× 31 683
M. Palacios Spain 12 21 0.1× 152 1.0× 103 1.0× 217 2.9× 90 1.2× 21 455
Fabrice Deluzet France 9 112 0.7× 49 0.3× 200 1.9× 34 0.5× 53 0.7× 30 347

Countries citing papers authored by Willi Schönauer

Since Specialization
Citations

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

Fields of papers citing papers by Willi Schönauer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Willi Schönauer. 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 Willi Schönauer. The network helps show where Willi Schönauer may publish in the future.

Co-authorship network of co-authors of Willi Schönauer

This figure shows the co-authorship network connecting the top 25 collaborators of Willi Schönauer. A scholar is included among the top collaborators of Willi Schönauer 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 Willi Schönauer. Willi Schönauer 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.
Schönauer, Willi, et al.. (2003). FDEM: how we make the FDM more flexible than the FEM. Journal of Computational and Applied Mathematics. 158(1). 157–167. 3 indexed citations
2.
Schönauer, Willi, et al.. (2002). Numerical experiments to optimize the use of (I)LU preconditioning in the iterative linear solver package LINSOL. Applied Numerical Mathematics. 41(1). 23–37. 1 indexed citations
3.
Schönauer, Willi, et al.. (2002). Higher Order May Be Better or May Not Be Better: Investigations with the FDEM (Finite Difference Element Method). Journal of Scientific Computing. 17(1-4). 221–229. 1 indexed citations
4.
Schönauer, Willi, et al.. (2001). How we solve PDEs: 473. Journal of Computational and Applied Mathematics. 131(1). 492. 2 indexed citations
5.
Schönauer, Willi, et al.. (2001). How We solve PDEs. Journal of Computational and Applied Mathematics. 131(1-2). 473–492. 25 indexed citations
6.
Schönauer, Willi, et al.. (2001). The generation of high quality difference and error formulae of arbitrary order on 3‐D unstructured grids. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 81(S3). 753–754. 2 indexed citations
7.
Schönauer, Willi. (1999). Experiments with search directions for a generalized CG method. Applied Numerical Mathematics. 30(2-3). 241–256.
8.
Schönauer, Willi, et al.. (1999). The program package LINSOL: Basic concepts and realization. Applied Numerical Mathematics. 30(2-3). 213–224. 6 indexed citations
9.
Schönauer, Willi. (1998). Generation of Difference and Error Formulae of Arbitrary Consistency Order on an Unstructured Grid. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 78(S3). 1061–1062. 9 indexed citations
10.
Schönauer, Willi, et al.. (1997). LINSOL, a Parallel Iterative Linear Solver Package of Generalized CG-Type for Sparse Matrices.. PPSC. 4 indexed citations
11.
Schönauer, Willi, et al.. (1994). Explaining the Gap between Theoretical Peak Performance and Real Performance for Supercomputer Architectures. Scientific Programming. 3(2). 157–168. 7 indexed citations
12.
Weber, Philipp, et al.. (1991). The finite element method on vector processors. Computers & Structures. 40(2). 223–235. 3 indexed citations
13.
Schönauer, Willi, et al.. (1989). Efficient vectorizable PDE solvers. Journal of Computational and Applied Mathematics. 27(1-2). 279–297. 148 indexed citations
14.
Schönauer, Willi, et al.. (1988). FIDISOL: A ‘black box’ solver for partial differential equations. Parallel Computing. 6(2). 185–193. 3 indexed citations
15.
Schönauer, Willi, et al.. (1987). Software considerations for the “black box” solver FIDISOL for partial differential equations. ACM Transactions on Mathematical Software. 13(4). 333–349. 24 indexed citations
16.
Schönauer, Willi. (1987). Scientific Computing on Vector Computers. Medical Entomology and Zoology. 79 indexed citations
17.
Schönauer, Willi & Karl‐Heinz Häfele. (1987). Experiences with the numerical solution of the 3-D laminar boundary layer equations in streamline coordinates. Computers & Fluids. 15(1). 93–118. 2 indexed citations
18.
Schönauer, Willi, et al.. (1985). Designing PDE software for vector computers as a “data flow algorithm”. Computer Physics Communications. 37(1-3). 233–237. 3 indexed citations
19.
Schönauer, Willi, et al.. (1982). A Polyalgorithm with Diagonal Storing for the Solution of Very Large Indefinite Linear Banded Systems on a Vector Computer.. 213–220. 1 indexed citations
20.
Schönauer, Willi, et al.. (1981). The principle of the difference of difference quotients as a key to the self-adaptive solution of nonlinear partial differential equations. Computer Methods in Applied Mechanics and Engineering. 28(3). 327–359. 21 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Pierre Ramet Breakdown of academic impact, for papers by Robert McOwen Breakdown of academic impact, for papers by Mihaï Bostan Breakdown of academic impact, for papers by Robert Speck Breakdown of academic impact, for papers by E. M. Barston Breakdown of academic impact, for papers by Christopher J. Garasi Breakdown of academic impact, for papers by Marie-Hélène Vignal Breakdown of academic impact, for papers by A. I. Bobenko Breakdown of academic impact, for papers by M. Palacios Breakdown of academic impact, for papers by Fabrice Deluzet
Rankless by CCL
2026