Werner Liniger

4.2k total citations · 1 hit paper
42 papers, 2.7k citations indexed

About

Werner Liniger is a scholar working on Numerical Analysis, Electrical and Electronic Engineering and Computational Theory and Mathematics. According to data from OpenAlex, Werner Liniger has authored 42 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Numerical Analysis, 19 papers in Electrical and Electronic Engineering and 12 papers in Computational Theory and Mathematics. Recurrent topics in Werner Liniger's work include Numerical methods for differential equations (20 papers), Electromagnetic Simulation and Numerical Methods (13 papers) and Advanced Numerical Methods in Computational Mathematics (9 papers). Werner Liniger is often cited by papers focused on Numerical methods for differential equations (20 papers), Electromagnetic Simulation and Numerical Methods (13 papers) and Advanced Numerical Methods in Computational Mathematics (9 papers). Werner Liniger collaborates with scholars based in United States, Finland and Germany. Werner Liniger's co-authors include Elliott H. Lieb, Ralph A. Willoughby, Willard L. Miranker, Olavi Nevanlinna, Fred G. Gustavson, Fadwa Odeh, Germund Dahlquist, Élliott H. Lieb, Iradj G. Tadjbakhsh and M.D. Thouless and has published in prestigious journals such as Physical Review Letters, Communications of the ACM and Mathematics of Computation.

In The Last Decade

Werner Liniger

39 papers receiving 2.5k citations

Hit Papers

Exact Analysis of an Interacting Bose Gas. I. The General... 1963 2026 1984 2005 1963 500 1000 1.5k
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.

  1. Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
    1963 1.8k citations Elliott H. Lieb, Werner Liniger Physical Review profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Werner Liniger United States 13 1.7k 632 456 397 390 42 2.7k
Ralph A. Willoughby United States 18 552 0.3× 462 0.7× 101 0.2× 175 0.4× 588 1.5× 39 1.9k
Jane Cullum United States 21 682 0.4× 357 0.6× 100 0.2× 215 0.5× 609 1.6× 44 1.8k
G. A. Prodi Italy 25 863 0.5× 210 0.3× 151 0.3× 407 1.0× 577 1.5× 121 3.4k
Yudell L. Luke United States 16 401 0.2× 459 0.7× 42 0.1× 382 1.0× 282 0.7× 91 2.4k
Н. И. Ахиезер United States 7 461 0.3× 202 0.3× 75 0.2× 556 1.4× 622 1.6× 12 2.4k
Claude Le Bris France 29 708 0.4× 226 0.4× 186 0.4× 353 0.9× 881 2.3× 136 2.9k
Reinhold Schneider Germany 28 1.0k 0.6× 253 0.4× 124 0.3× 393 1.0× 764 2.0× 84 2.9k
R. D. Murphy United States 15 318 0.2× 540 0.9× 81 0.2× 152 0.4× 458 1.2× 40 1.5k
Folkmar Bornemann Germany 23 311 0.2× 293 0.5× 104 0.2× 196 0.5× 367 0.9× 60 1.7k
Avram Sidi Israel 25 571 0.3× 1.1k 1.8× 34 0.1× 258 0.6× 752 1.9× 138 2.5k

Countries citing papers authored by Werner Liniger

Since Specialization
Citations

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

Fields of papers citing papers by Werner Liniger

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Werner Liniger

This figure shows the co-authorship network connecting the top 25 collaborators of Werner Liniger. A scholar is included among the top collaborators of Werner Liniger 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 Werner Liniger. Werner Liniger 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.
Liniger, Werner & Albert E. Ruehli. (1995). Time Domain Integration Methods for Electric Field Integral Equations. 209–214. 2 indexed citations
2.
Liniger, Werner. (1989). A quasi-direct fast Poisson solver for general regions. Journal of Computational and Applied Mathematics. 28. 25–47. 1 indexed citations
3.
Liniger, Werner. (1983). The A-Contractive Second-Order Multistep Formulas with Variable Steps. SIAM Journal on Numerical Analysis. 20(6). 1231–1238. 7 indexed citations
4.
Nevanlinna, Olavi & Werner Liniger. (1979). Contractive methods for stiff differential equations Part II. BIT Numerical Mathematics. 19(1). 53–72. 57 indexed citations
5.
Liniger, Werner. (1979). Multistep and one-leg methods for implicit mixed differential algebraic systems. IEEE Transactions on Circuits and Systems. 26(9). 755–762. 20 indexed citations
6.
Odeh, Fadwa & Werner Liniger. (1977). Nonlinear fixed-h stability of linear multistep formulas. Journal of Mathematical Analysis and Applications. 61(3). 691–712. 12 indexed citations
7.
Liniger, Werner. (1976). On Stability and Accuracy of Numerical Integration Methods for Stiff Differential Equations. Defense Technical Information Center (DTIC). 1 indexed citations
8.
Liniger, Werner & Fadwa Odeh. (1976). On Liapunov Stability of Stiff Non-Linear Multistep Difference Equations,. Defense Technical Information Center (DTIC). 2 indexed citations
9.
Liniger, Werner. (1975). Connections between accuracy and stability properties of linear multistep formulas. Communications of the ACM. 18(1). 53–56. 3 indexed citations
10.
Liniger, Werner, et al.. (1974). Exponential fitting of matricial multistep methods for ordinary differential equations. Mathematics of Computation. 28(128). 1035–1052. 8 indexed citations
11.
Odeh, Fadwa & Werner Liniger. (1971). A note on unconditional fixed-h stability of linear multistep formulae. Computing. 7(3-4). 240–253. 16 indexed citations
12.
13.
Gustavson, Fred G., Werner Liniger, & Ralph A. Willoughby. (1970). Symbolic Generation of an Optimal Crout Algorithm for Sparse Systems of Linear Equations. Journal of the ACM. 17(1). 87–109. 72 indexed citations
14.
Miranker, Willard L. & Werner Liniger. (1967). Parallel methods for the numerical integration of ordinary differential equations. Mathematics of Computation. 21(99). 303–320. 100 indexed citations
15.
Miranker, Willard L. & Werner Liniger. (1967). Parallel Methods for the Numerical Integration of Ordinary Differential Equations. Mathematics of Computation. 21(99). 303–303. 24 indexed citations
16.
Brayton, Robert K., Fred G. Gustavson, & Werner Liniger. (1966). A Numerical Analysis of the Transient Behavior of a Transistor Circuit. IBM Journal of Research and Development. 10(4). 292–299. 6 indexed citations
17.
Liniger, Werner & Sebastian M. Schmidt. (1966). Transient magnetic and electric fields above a conducting ground plane of arbitrary thickness. IEEE Transactions on Magnetics. 2(4). 727–732.
18.
Lieb, Elliott H. & Werner Liniger. (1963). Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State. Physical Review. 130(4). 1605–1616. 1758 indexed citations breakdown →
19.
Liniger, Werner, et al.. (1963). Susceptibilities and Critical Fields of Superconducting Films. Physical Review Letters. 10(2). 47–48. 3 indexed citations
20.
Liniger, Werner, et al.. (1955). Stochastische Fehlerauswertung bei numerischen Methoden. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 35(4). 121–130. 2 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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