Franz Kappel

2.7k total citations
102 papers, 1.8k citations indexed

About

Franz Kappel is a scholar working on Numerical Analysis, Control and Systems Engineering and Computational Theory and Mathematics. According to data from OpenAlex, Franz Kappel has authored 102 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Numerical Analysis, 21 papers in Control and Systems Engineering and 20 papers in Computational Theory and Mathematics. Recurrent topics in Franz Kappel's work include Numerical methods for differential equations (17 papers), Dialysis and Renal Disease Management (13 papers) and Stability and Controllability of Differential Equations (13 papers). Franz Kappel is often cited by papers focused on Numerical methods for differential equations (17 papers), Dialysis and Renal Disease Management (13 papers) and Stability and Controllability of Differential Equations (13 papers). Franz Kappel collaborates with scholars based in Austria, United States and Germany. Franz Kappel's co-authors include Wilhelm Schappacher, H. T. Banks, Kazufumi Ito, Jerry J. Batzel, Karl Kunisch, Dietmar Salamon, Peter Kotanko, Stephan Thijssen, Ronald Grimmer and Doris H. Fuertinger and has published in prestigious journals such as PLoS ONE, Scientific Reports and Mathematics of Computation.

In The Last Decade

Franz Kappel

96 papers receiving 1.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Franz Kappel Austria 26 542 420 406 341 211 102 1.8k
Bingwen Liu China 27 235 0.4× 232 0.6× 346 0.9× 583 1.7× 108 0.5× 130 2.7k
Charles A. Hall United States 30 70 0.1× 373 0.9× 237 0.6× 113 0.3× 52 0.2× 143 3.5k
Wenjun Liu China 28 1.1k 2.1× 85 0.2× 1.2k 2.8× 883 2.6× 717 3.4× 222 2.4k
Wenrui Hao United States 24 46 0.1× 130 0.3× 275 0.7× 37 0.1× 30 0.1× 100 1.8k
Markus Kunze Germany 16 210 0.4× 75 0.2× 208 0.5× 259 0.8× 270 1.3× 63 1.3k
Juan Carlos Jiménez United States 29 159 0.3× 224 0.5× 108 0.3× 15 0.0× 15 0.1× 167 2.7k
P. Rentrop Germany 28 173 0.3× 442 1.1× 243 0.6× 42 0.1× 25 0.1× 85 2.5k
Xiaoying Han China 22 699 1.3× 28 0.1× 429 1.1× 149 0.4× 165 0.8× 100 1.4k
Muhammad Abbas Pakistan 32 113 0.2× 1.1k 2.5× 106 0.3× 242 0.7× 112 0.5× 253 3.4k
Alain Miranville France 35 1.6k 2.9× 338 0.8× 2.6k 6.3× 961 2.8× 497 2.4× 231 4.3k

Countries citing papers authored by Franz Kappel

Since Specialization
Citations

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

Fields of papers citing papers by Franz Kappel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Franz Kappel

This figure shows the co-authorship network connecting the top 25 collaborators of Franz Kappel. A scholar is included among the top collaborators of Franz Kappel 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 Franz Kappel. Franz Kappel 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.
Fuertinger, Doris H., et al.. (2019). Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach. Journal of Mathematical Biology. 79(6-7). 2281–2313. 10 indexed citations
2.
Kappel, Franz, et al.. (2018). A model of vascular refilling with inflammation. Mathematical Biosciences. 303. 101–114. 6 indexed citations
3.
Meyring-Wösten, Anna, Hanjie Zhang, Xiaoling Ye, et al.. (2016). Intradialytic Hypoxemia and Clinical Outcomes in Patients on Hemodialysis. Clinical Journal of the American Society of Nephrology. 11(4). 616–625. 53 indexed citations
4.
Batzel, Jerry J., Mostafa Bachar, & Franz Kappel. (2013). Mathematical modeling and validation in physiology : applications to the cardiovascular and respiratory systems. CERN Document Server (European Organization for Nuclear Research). 10 indexed citations
5.
Thijssen, Stephan, Franz Kappel, & Peter Kotanko. (2013). Absolute Blood Volume in Hemodialysis Patients: Why Is It Relevant, and How to Measure It. Blood Purification. 35(1-3). 63–71. 36 indexed citations
6.
Batzel, Jerry J. & Franz Kappel. (2011). Time delay in physiological systems: Analyzing and modeling its impact. Mathematical Biosciences. 234(2). 61–74. 35 indexed citations
7.
Banks, H. T., et al.. (2010). Generalized sensitivities and optimal experimental design. Journal of Inverse and Ill-Posed Problems. 18(1). 25–83. 36 indexed citations
8.
Ito, Kazufumi & Franz Kappel. (2002). Evolution Equations And Approximations. 43 indexed citations
9.
Kappel, Franz, et al.. (2001). A Problem of Robust Control of a System With Time Delay. International Journal of Applied Mathematics and Computer Science. 11(4). 821–834. 3 indexed citations
10.
Kappel, Franz & В. П. Максимов. (2000). Robust Dynamic Input Reconstruction for Delay Systems. International Journal of Applied Mathematics and Computer Science. 10(2). 283–307. 6 indexed citations
11.
Ito, Kazufumi, Franz Kappel, & Jànos Turi. (1996). On Well-Posedness of Singular Neutral Equations in the State SpaceC. Journal of Differential Equations. 125(1). 40–72. 5 indexed citations
12.
Desch, Wolfgang, Franz Kappel, & Karl Kunisch. (1994). Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. Birkhäuser Basel eBooks. 11 indexed citations
13.
Kappel, Franz, Karl Kunisch, & Wilhelm Schappacher. (1989). Control and estimation of distributed parameter systems : 4th International Conference on Control of Distributed Parameter Systems, Vorau, July 10-16, 1988. Birkhäuser-Verlag eBooks. 1 indexed citations
14.
Brezis, Haı̈m, Michael G. Crandall, & Franz Kappel. (1986). Semigroups, theory and applications. John Wiley & Sons, Inc. eBooks. 38 indexed citations
15.
Kappel, Franz, et al.. (1986). On neutral functional differential equations with nonatomic difference operator. Journal of Mathematical Analysis and Applications. 113(2). 311–343. 20 indexed citations
16.
Kappel, Franz & Wilhelm Schappacher. (1981). Abstract Cauchy problems and functional differential equations. 14 indexed citations
17.
Kappel, Franz & Wilhelm Schappacher. (1980). Some considerations to the fundamental theory of infinite delay equations. Journal of Differential Equations. 37(2). 141–183. 86 indexed citations
18.
Banks, H. T. & Franz Kappel. (1979). Spline approximations for functional differential equations. Journal of Differential Equations. 34(3). 496–522. 148 indexed citations
19.
Kappel, Franz, et al.. (1976). Optimal Control Problems for Integrodifferential Equations of Volterra Type.. Defense Technical Information Center (DTIC). 1 indexed citations
20.
Kappel, Franz. (1976). On degeneracy of functional-differential equations. Journal of Differential Equations. 22(2). 250–267. 25 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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