Willi Törnig

769 total citations
37 papers, 381 citations indexed

About

Willi Törnig is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, Willi Törnig has authored 37 papers receiving a total of 381 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Numerical Analysis, 12 papers in Computational Mechanics and 11 papers in Computational Theory and Mathematics. Recurrent topics in Willi Törnig's work include Numerical methods for differential equations (12 papers), Advanced Numerical Methods in Computational Mathematics (9 papers) and Differential Equations and Numerical Methods (7 papers). Willi Törnig is often cited by papers focused on Numerical methods for differential equations (12 papers), Advanced Numerical Methods in Computational Mathematics (9 papers) and Differential Equations and Numerical Methods (7 papers). Willi Törnig collaborates with scholars based in Germany, Switzerland and United States. Willi Törnig's co-authors include Alfred K. Louis, Willi Freeden, Hans D. Mittelmann, B. Schorr, Peter Spellucci, Erich Miersemann, R. Ansorge, Hans Weber, D. Lortz and Eduardo L. Ortiz and has published in prestigious journals such as Lecture notes in mathematics, Archive for Rational Mechanics and Analysis and Mathematical Methods in the Applied Sciences.

In The Last Decade

Willi Törnig

33 papers receiving 324 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 Törnig Germany 11 94 89 80 72 69 37 381
А.Б. Бакушинский Russia 8 117 1.2× 32 0.4× 99 1.2× 81 1.1× 164 2.4× 29 522
Manfred R. Trummer Canada 11 165 1.8× 48 0.5× 145 1.8× 243 3.4× 80 1.2× 38 584
Donald C. Solmon United States 11 90 1.0× 371 4.2× 64 0.8× 34 0.5× 191 2.8× 23 596
Alex Solomonoff United States 7 159 1.7× 16 0.2× 80 1.0× 161 2.2× 98 1.4× 11 481
S. Seatzu Italy 11 107 1.1× 25 0.3× 145 1.8× 74 1.0× 209 3.0× 47 541
Hervé Vandeven France 5 176 1.9× 14 0.2× 63 0.8× 79 1.1× 108 1.6× 8 381
B.A. Mair United States 13 109 1.2× 299 3.4× 69 0.9× 41 0.6× 110 1.6× 47 650
Tuomo Valkonen Finland 9 196 2.1× 66 0.7× 70 0.9× 48 0.7× 32 0.5× 39 413
Bryan W. Lewis United States 9 108 1.1× 21 0.2× 174 2.2× 51 0.7× 79 1.1× 17 397
S. Alliney Italy 11 190 2.0× 48 0.5× 50 0.6× 16 0.2× 21 0.3× 35 554

Countries citing papers authored by Willi Törnig

Since Specialization
Citations

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

Fields of papers citing papers by Willi Törnig

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Willi Törnig

This figure shows the co-authorship network connecting the top 25 collaborators of Willi Törnig. A scholar is included among the top collaborators of Willi Törnig 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 Törnig. Willi Törnig 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.
Miersemann, Erich, Hans D. Mittelmann, & Willi Törnig. (1989). On the continuation for variational inequalities depending on an eigenvalue parameter. Mathematical Methods in the Applied Sciences. 11(1). 95–104. 8 indexed citations
2.
Törnig, Willi & Peter Spellucci. (1988). Numerische Mathematik für Ingenieure und Physiker. 16 indexed citations
3.
Miersemann, Erich, Hans D. Mittelmann, & Willi Törnig. (1987). A free boundary problem and stability for the circular plate. Mathematical Methods in the Applied Sciences. 9(1). 240–250. 9 indexed citations
4.
Törnig, Willi, et al.. (1985). Finite elements for the eigenvalue problem of differential operators in unbounded intervals. Mathematical Methods in the Applied Sciences. 7(1). 1–39. 3 indexed citations
5.
Spellucci, Peter & Willi Törnig. (1985). Eigenwertberechnung in den Ingenieurwissenschaften. 1 indexed citations
6.
El-Seoud, Samir Abou & Willi Törnig. (1983). Solution of Large Sparse Nonlinear Systems by Monotone Convergent Iterations and Applications. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 63(2). 103–113. 2 indexed citations
7.
8.
Mittelmann, Hans D. & Willi Törnig. (1982). Bifurcation problems for discrete variational inequalities. Mathematical Methods in the Applied Sciences. 4(1). 243–258. 9 indexed citations
9.
Lortz, D., et al.. (1982). Eigenvalue bounds for elliptic operators. Mathematical Methods in the Applied Sciences. 4(1). 425–432. 2 indexed citations
10.
Freeden, Willi & Willi Törnig. (1981). On spherical spline interpolation and approximation. Mathematical Methods in the Applied Sciences. 3(1). 551–575. 62 indexed citations
11.
Louis, Alfred K. & Willi Törnig. (1981). Ghosts in tomography – the null space of the radon transform. Mathematical Methods in the Applied Sciences. 3(1). 1–10. 42 indexed citations
12.
Weber, Hans & Willi Törnig. (1980). Numerical solution of Hopf bifurcation problems. Mathematical Methods in the Applied Sciences. 2(2). 178–190. 11 indexed citations
13.
Törnig, Willi. (1979). Numerische Methoden der Algebra. Springer eBooks.
14.
Butzer, P. L., Ursula Gather, & Willi Törnig. (1979). Asymptotic expansions for central limit theorems for general linear stochastic processes. II: Models of the general random noise and pulse train processes. Mathematical Methods in the Applied Sciences. 1(3). 346–353. 3 indexed citations
15.
Törnig, Willi, et al.. (1979). Error estimates for sampling approximation of non‐bandlimited functions. Mathematical Methods in the Applied Sciences. 1(2). 127–137. 12 indexed citations
16.
Törnig, Willi & Maria Ziegler. (1966). Bemerkungen zur Konvergenz von Differenzapproximationen für quasilineare hyperbolische Anfangswertprobleme in zwei unabhängigen Veränderlichen. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 46(3-4). 201–210. 4 indexed citations
17.
Törnig, Willi, et al.. (1963). General multistep finite difference methods for the solution ofu xy =f(x, y, u, u x ,u y ). Rendiconti del Circolo Matematico di Palermo Series 2. 12(3). 281–298. 8 indexed citations
18.
Ansorge, R. & Willi Törnig. (1960). Zur Stabilität des Nyströmschen Verfahrens I. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 40(12). 568–570. 8 indexed citations
19.
Törnig, Willi. (1959). Zur numerischen Behandlung von Anfangswertproblemen partieller hyperbolischer Differentialgleichungen zweiter Ordnung in zwei unabhängigen Veränderlichen. Archive for Rational Mechanics and Analysis. 4(1). 446–466. 7 indexed citations
20.
Törnig, Willi. (1959). Zur numerischen Behandlung von Anfangswertproblemen partieller hyperbolischer Differentialgleichungen zweiter ordnung in zwei unabhängigen Veränderlichen. Archive for Rational Mechanics and Analysis. 4(1). 428–445. 8 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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