Ludmil Zikatanov

3.2k citations
80 papers · 1.9k indexed · h-index 24
Topics
Advanced Numerical Methods in Computational Mathematics (65 papers)Advanced Mathematical Modeling in Engineering (34 papers)Numerical methods in engineering (27 papers)

In The Last Decade

Ludmil Zikatanov

77 papers receiving 1.7k citations

Peers

Ludmil Zikatanov
Comparison fields: 5 of 82
  • Computational Mechanics 1.5k
  • Computational Theory and Mathematics 996
  • Mechanics of Materials 618
  • Numerical Analysis 338
  • Electrical and Electronic Engineering 308
Replace Rob Stevenson with:
Rob Stevenson Netherlands
Harry Yserentant Germany
Helmut Harbrecht Switzerland
Jörg Liesen Germany
Stephen F. McCormick United States
Andy Wathen United Kingdom
Panayot S. Vassilevski United States
Yvan Notay Belgium
J. A. Meijerink Netherlands
Andrea Toselli Switzerland
Ludmil Zikatanov relative to Rob Stevenson Netherlands Rob Stevenson's profile →
Citations per field
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Citations per year

Countries citing papers authored by Ludmil Zikatanov

Since Specialization
Citations

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

Fields of papers citing papers by Ludmil Zikatanov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ludmil Zikatanov

This figure shows the co-authorship network connecting the top 25 collaborators of Ludmil Zikatanov. A scholar is included among the top collaborators of Ludmil Zikatanov 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 Ludmil Zikatanov. Ludmil Zikatanov 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
#WorkIndexed citations
1 0
2 5
3 0
4 2
5 14
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Residual-based a posteriori error estimates of mixed methods in Biot's consolidation model.
2
7 142
8 3
9 51
10 16
11 7
12 5
13 9
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Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics
1
15 9
16
Adaptive reduction-based multigrid for nearly singular and highly disordered physical systems
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17 30
18 4
19 175
20 6

About Ludmil Zikatanov

Ludmil Zikatanov is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Computational Mechanics, having authored 80 papers that have together received 1.9k indexed citations. Recurring topics across this work include Advanced Numerical Methods in Computational Mathematics (65 papers), Advanced Mathematical Modeling in Engineering (34 papers) and Numerical methods in engineering (27 papers). The work is most often cited by research in Computational Mechanics (1.5k citations), Computational Theory and Mathematics (996 citations) and Numerical Analysis (338 citations). Ludmil Zikatanov has collaborated with scholars based in United States, Bulgaria and China. Frequent co-authors include Jinchao Xu, Jinchao Xu, Panayot S. Vassilevski, Xiaozhe Hu, Carmen Rodrigo, Constantin Bǎcuţǎ, Francisco J. Gaspar, Blanca Ayuso de Dios, Robert D. Falgout and Johannes Kraus. Their work appears in journals such as Applied Physics Letters, Journal of Computational Physics and Computer Methods in Applied Mechanics and Engineering.

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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