R. Krawczyk

945 total citations
23 papers, 591 citations indexed

About

R. Krawczyk is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, R. Krawczyk has authored 23 papers receiving a total of 591 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Computational Theory and Mathematics, 8 papers in Computational Mechanics and 6 papers in Numerical Analysis. Recurrent topics in R. Krawczyk's work include Numerical Methods and Algorithms (9 papers), Advanced Numerical Analysis Techniques (5 papers) and Digital Filter Design and Implementation (4 papers). R. Krawczyk is often cited by papers focused on Numerical Methods and Algorithms (9 papers), Advanced Numerical Analysis Techniques (5 papers) and Digital Filter Design and Implementation (4 papers). R. Krawczyk collaborates with scholars based in Germany and Mexico. R. Krawczyk's co-authors include Arnold Neumaier, Karl Nickel, F. Mooser, H. J. Tobschall, Rolf Emmermann, Ulrich Kulisch, Jürgen Garloff and Jörg F. W. Negendank and has published in prestigious journals such as SHILAP Revista de lepidopterología, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.

In The Last Decade

R. Krawczyk

23 papers receiving 517 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
R. Krawczyk Germany 8 349 113 98 90 87 23 591
Gilbert G. Walter United States 16 56 0.2× 49 0.4× 94 1.0× 96 1.1× 48 0.6× 73 1.0k
U. von Matt United States 8 143 0.4× 100 0.9× 40 0.4× 59 0.7× 10 0.1× 11 535
Richard S. Laugesen United States 16 223 0.6× 76 0.7× 33 0.3× 39 0.4× 32 0.4× 60 826
James S. Vandergraft United States 12 339 1.0× 174 1.5× 7 0.1× 55 0.6× 57 0.7× 21 680
Will Light United Kingdom 11 72 0.2× 79 0.7× 23 0.2× 76 0.8× 43 0.5× 21 703
R. F. Churchhouse United Kingdom 8 71 0.2× 90 0.8× 9 0.1× 75 0.8× 25 0.3× 19 655
A. G. Azpeitia United States 7 71 0.2× 62 0.5× 14 0.1× 30 0.3× 36 0.4× 13 453
Pierre Vial France 5 61 0.2× 29 0.3× 68 0.7× 101 1.1× 10 0.1× 10 717
Achiya Dax Israel 14 286 0.8× 236 2.1× 11 0.1× 39 0.4× 20 0.2× 72 566
A. M. Erisman United States 9 336 1.0× 187 1.7× 6 0.1× 40 0.4× 47 0.5× 14 633

Countries citing papers authored by R. Krawczyk

Since Specialization
Citations

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

Fields of papers citing papers by R. Krawczyk

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of R. Krawczyk

This figure shows the co-authorship network connecting the top 25 collaborators of R. Krawczyk. A scholar is included among the top collaborators of R. Krawczyk 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 R. Krawczyk. R. Krawczyk 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.
Krawczyk, R. & Arnold Neumaier. (1987). Interval Newton operators for function strips. Journal of Mathematical Analysis and Applications. 124(1). 52–72. 2 indexed citations
2.
Krawczyk, R. & Arnold Neumaier. (1986). An improved interval Newton operator. Journal of Mathematical Analysis and Applications. 118(1). 194–207. 18 indexed citations
3.
Krawczyk, R.. (1986). A class of interval-Newton-operators. Computing. 37(2). 179–183. 7 indexed citations
4.
Krawczyk, R.. (1986). Properties of interval operators. Computing. 37(3). 227–245. 3 indexed citations
5.
Krawczyk, R.. (1986). A lipschitz operator for function strips. Computing. 36(1-2). 169–174. 1 indexed citations
6.
Garloff, Jürgen & R. Krawczyk. (1986). Optimal Inclusion of a Solution Set. SIAM Journal on Numerical Analysis. 23(1). 217–226. 3 indexed citations
7.
Emmermann, Rolf, et al.. (1985). Geological and geochemical investigations on the eastern Trans-Mexican Volcanic Belt. SHILAP Revista de lepidopterología. 24(4). 477–575. 119 indexed citations
8.
Krawczyk, R.. (1985). Centered forms and interval operators. Computing. 34(3). 243–259. 2 indexed citations
9.
Krawczyk, R. & Arnold Neumaier. (1985). Interval Slopes for Rational Functions and Associated Centered Forms. SIAM Journal on Numerical Analysis. 22(3). 604–616. 69 indexed citations
10.
Krawczyk, R.. (1984). Interval iterations for including a set of solutions. Computing. 32(1). 13–31. 13 indexed citations
11.
Krawczyk, R.. (1983). A remark about the convergence of interval sequences. Computing. 31(3). 255–259. 1 indexed citations
12.
Krawczyk, R. & Karl Nickel. (1982). Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie. Computing. 28(2). 117–137. 47 indexed citations
13.
Krawczyk, R., et al.. (1980). Order-convergence and iterative interval methods. Journal of Mathematical Analysis and Applications. 73(1). 1–23. 11 indexed citations
14.
Krawczyk, R.. (1972). Abbrechkriterium für Iterationsverfahren. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 52(4). 227–232. 4 indexed citations
15.
Krawczyk, R.. (1971). Gleichungen in halbgeordneten Räumen. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 36(1). 150–165. 7 indexed citations
16.
Krawczyk, R.. (1970). Verbesserung von Schranken für Eigenwerte und Eigenvektoren von Matrizen. Computing. 5(3). 200–206. 5 indexed citations
17.
Krawczyk, R.. (1969). Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken. Computing. 4(3). 187–201. 235 indexed citations
18.
Krawczyk, R.. (1969). Über Iterationsverfahren bei nichtlinearen Gleichungssystemen. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 49(6). 341–349. 2 indexed citations
19.
Kulisch, Ulrich, et al.. (1968). The algorithmic language triplex-Algol 60. Numerische Mathematik. 11(2). 175–180. 28 indexed citations
20.
Krawczyk, R.. (1963). �ber differenzenverfahren bei parabolischen differentialgleichungen. Archive for Rational Mechanics and Analysis. 13(1). 81–121. 3 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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