Knut Petras

690 total citations
36 papers, 432 citations indexed

About

Knut Petras is a scholar working on Numerical Analysis, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Knut Petras has authored 36 papers receiving a total of 432 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Numerical Analysis, 19 papers in Applied Mathematics and 13 papers in Computational Theory and Mathematics. Recurrent topics in Knut Petras's work include Mathematical functions and polynomials (17 papers), Mathematical Approximation and Integration (13 papers) and Iterative Methods for Nonlinear Equations (9 papers). Knut Petras is often cited by papers focused on Mathematical functions and polynomials (17 papers), Mathematical Approximation and Integration (13 papers) and Iterative Methods for Nonlinear Equations (9 papers). Knut Petras collaborates with scholars based in Germany and Austria. Knut Petras's co-authors include Franz Peherstorfer, Erich Novak, Klaus Ritter and Christiane Helzel and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Numerische Mathematik.

In The Last Decade

Knut Petras

36 papers receiving 404 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Knut Petras Germany	12	191	182	123	99	73	36	432
Quôc Thông Lê Gia Australia	14	108 0.6×	129 0.7×	126 1.0×	91 0.9×	74 1.0×	55	537
Pao–Liu Chow United States	14	169 0.9×	51 0.3×	292 2.4×	56 0.6×	39 0.5×	30	804
Thomas Müller-Gronbach Germany	15	82 0.4×	205 1.1×	112 0.9×	86 0.9×	17 0.2×	34	523
Wilfried Grecksch Germany	10	158 0.8×	64 0.4×	109 0.9×	36 0.4×	19 0.3×	36	494
Dirk Laurie South Africa	11	223 1.2×	183 1.0×	191 1.6×	13 0.1×	133 1.8×	22	525
Francesco Dell’Accio Italy	16	161 0.8×	201 1.1×	89 0.7×	18 0.2×	59 0.8×	64	631
Antoine Lejay France	16	90 0.5×	64 0.4×	201 1.6×	46 0.5×	11 0.2×	70	705
Paul Krée France	11	193 1.0×	40 0.2×	99 0.8×	62 0.6×	27 0.4×	22	487
Xingping Sun United States	14	136 0.7×	94 0.5×	93 0.8×	16 0.2×	34 0.5×	43	439
A. G. Azpeitia United States	7	115 0.6×	62 0.3×	71 0.6×	16 0.2×	52 0.7×	13	453

Countries citing papers authored by Knut Petras

Since Specialization

Citations

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

Fields of papers citing papers by Knut Petras

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Knut Petras

This figure shows the co-authorship network connecting the top 25 collaborators of Knut Petras. A scholar is included among the top collaborators of Knut Petras 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 Knut Petras. Knut Petras is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Petras, Knut, et al.. (2011). Quadrature Theory. Mathematical surveys and monographs. 31 indexed citations

Petras, Knut, et al.. (2011). Quadrature Theory: The Theory of Numerical Integration on a Compact Interval. CERN Document Server (European Organization for Nuclear Research). 38 indexed citations

Novak, Erich, et al.. (2006). Special issue. Journal of Complexity. 22(1). 3–3. 3 indexed citations

Petras, Knut. (2006). Principles of verified numerical integration. Journal of Computational and Applied Mathematics. 199(2). 317–328. 4 indexed citations

Petras, Knut & Klaus Ritter. (2005). On the complexity of parabolic initial-value problems with variable drift. Journal of Complexity. 22(1). 118–145. 3 indexed citations

Petras, Knut & Klaus Ritter. (2005). On the Complexity of Parabolic Initial Value Problems with Variable Drift. DROPS (Schloss Dagstuhl – Leibniz Center for Informatics). 0. 1 indexed citations

Petras, Knut, et al.. (2003). Bounds for norms of Peano kernels. East journal on approximations. 9(2). 195–208. 1 indexed citations

Petras, Knut. (2003). Smolyak cubature of given polynomial degree with few nodes for increasing dimension. Numerische Mathematik. 93(4). 729–753. 76 indexed citations

Petras, Knut. (2002). Self-validating integration and approximation of piecewise analytic functions. Journal of Computational and Applied Mathematics. 145(2). 345–359. 9 indexed citations

10.

Petras, Knut. (2001). Fast calculation of coefficients in the Smolyak algorithm. Numerical Algorithms. 26(2). 93–109. 39 indexed citations

11.

Petras, Knut. (2000). On the Smolyak cubature error for analytic functions. Advances in Computational Mathematics. 12(1). 71–93. 38 indexed citations

12.

Petras, Knut. (1998). On the Complexity of Self-Validating Numerical Integration and Approximation of Functions with Singularities. Journal of Complexity. 14(3). 302–318. 1 indexed citations

13.

Petras, Knut, et al.. (1997). On a conjecture of D. B. Hunter. BIT Numerical Mathematics. 37(1). 227–231. 2 indexed citations

14.

Novak, Erich, et al.. (1996). Quadrature Formulas for Multivariate Convex Functions. Journal of Complexity. 12(1). 5–16. 4 indexed citations

15.

Petras, Knut. (1995). Duality and Lower Bounds for Relative Projection Constants. Journal of Approximation Theory. 81(1). 104–119. 2 indexed citations

16.

Petras, Knut, et al.. (1993). Inequalities for the Zeros of Ultraspherical Polynomials and Bessel Functions. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 73(9). 232–236. 12 indexed citations

17.

Petras, Knut, et al.. (1990). On a problem proposed by H. Bra� concerning the remainder term in quadrature for convex functions. Numerische Mathematik. 57(1). 763–777. 7 indexed citations

18.

Petras, Knut. (1990). On the minimal norms of polynomial projections. Journal of Approximation Theory. 62(2). 206–212. 4 indexed citations

19.

Petras, Knut, et al.. (1990). On Estimates for the Weights in Gaussian Quadrature in the Ultraspherical Case. Mathematics of Computation. 55(191). 243–243. 14 indexed citations

20.

Petras, Knut. (1989). On norms of Lewanowicz operators. Journal of Approximation Theory. 58(1). 107–113. 1 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.

Explore authors with similar magnitude of impact