Rainer Kreß

1.9k total citations
29 papers, 1.1k citations indexed

About

Rainer Kreß is a scholar working on Mathematical Physics, Biomedical Engineering and Mechanics of Materials. According to data from OpenAlex, Rainer Kreß has authored 29 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Mathematical Physics, 17 papers in Biomedical Engineering and 15 papers in Mechanics of Materials. Recurrent topics in Rainer Kreß's work include Numerical methods in inverse problems (25 papers), Microwave Imaging and Scattering Analysis (17 papers) and Ultrasonics and Acoustic Wave Propagation (10 papers). Rainer Kreß is often cited by papers focused on Numerical methods in inverse problems (25 papers), Microwave Imaging and Scattering Analysis (17 papers) and Ultrasonics and Acoustic Wave Propagation (10 papers). Rainer Kreß collaborates with scholars based in Germany, United States and Türkiye. Rainer Kreß's co-authors include Rainer Kreß, William Rundell, David Colton, Pedro Serranho, Jeong‐Rock Yoon, Roman Chapko, İbrahim Akduman, Houssem Haddar, Klaus Erhard and Roland Potthast and has published in prestigious journals such as SIAM Journal on Applied Mathematics, Numerische Mathematik and Journal of Computational and Applied Mathematics.

In The Last Decade

Rainer Kreß

29 papers receiving 959 citations

Peers

Rainer Kreß

MP

BE

MM

AMPO

EEE

Larisa Beilina Sweden

Frank Hettlich Germany

Armin Lechleiter Germany

Luca Rondi Italy

Masaru Ikehata Japan

Claudio Estatico Italy

Shari Moskow United States

Tuong Ha-Duong France

T. S. Angell United States

Rolf Leis Germany

Larisa Beilina Sweden

Rainer Kreß

671 ×0.9

MP

429 ×0.8

BE

250 ×0.6

MM

98 ×0.5

AMPO

136 ×0.8

EEE

Citations per year, relative to Rainer Kreß Rainer Kreß (= 1×) peers Larisa Beilina

Countries citing papers authored by Rainer Kreß

Since Specialization

Citations

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

Fields of papers citing papers by Rainer Kreß

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Rainer Kreß

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

All Works

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20 of 20 papers shown

1.

Kreß, Rainer. (2007). Preface for Integral Equations and Inverse Boundry Value Problems. Journal of Integral Equations and Applications. 19(3). 233–236. 1 indexed citations

2.

Kreß, Rainer. (2007). Uniqueness and numerical methods in inverse obstacle scattering. Journal of Physics Conference Series. 73. 12003–12003. 18 indexed citations

3.

Kreß, Rainer & Pedro Serranho. (2006). A hybrid method for sound-hard obstacle reconstruction. Journal of Computational and Applied Mathematics. 204(2). 418–427. 27 indexed citations

4.

Haddar, Houssem & Rainer Kreß. (2004). On the Fréchet Derivative for Obstacle Scattering with an Impedance Boundary Condition. SIAM Journal on Applied Mathematics. 65(1). 194–208. 34 indexed citations

5.

Akduman, İbrahim & Rainer Kreß. (2003). Direct and inverse scattering problems for inhomogeneous impedance cylinders of arbitrary shape. Radio Science. 38(3). 32 indexed citations

6.

Kreß, Rainer. (2003). Newton s method for inverse obstacle scattering meets the method of least squares. Inverse Problems. 19(6). S91–S104. 72 indexed citations

7.

Akduman, İbrahim & Rainer Kreß. (2002). Electrostatic imaging via conformal mapping. Inverse Problems. 18(6). 1659–1672. 27 indexed citations

8.

Kreß, Rainer, et al.. (2000). An inverse boundary value problem for the Oseen equation. Mathematical Methods in the Applied Sciences. 23(2). 103–120. 17 indexed citations

9.

Kreß, Rainer. (2000). Integral equation methods in inverse obstacle scattering. The ANZIAM Journal. 42(1). 65–78. 2 indexed citations

10.

Kreß, Rainer. (2000). INVERSE OBSTACLE SCATTERING WITH MODIFIED OR REDUCED DATA. 10–18. 1 indexed citations

11.

Chapko, Roman, Rainer Kreß, & Jeong‐Rock Yoon. (1999). An inverse boundary value problem for the heat equation: the Neumann condition. Inverse Problems. 15(4). 1033–1046. 46 indexed citations

12.

Kreß, Rainer & Rainer Kreß. (1998). Numerical Analysis. 174 indexed citations

13.

Chapko, Roman, Rainer Kreß, & Jeong‐Rock Yoon. (1998). On the numerical solution of an inverse boundary value problem for the heat equation. Inverse Problems. 14(4). 853–867. 56 indexed citations

14.

Kreß, Rainer & William Rundell. (1998). Inverse Obstacle Scattering Using Reduced Data. SIAM Journal on Applied Mathematics. 59(2). 442–454. 22 indexed citations

15.

Kreß, Rainer. (1996). Inverse elastic scattering from a crack. Inverse Problems. 12(5). 667–684. 53 indexed citations

16.

Kreß, Rainer. (1995). Inverse scattering from an open arc. Mathematical Methods in the Applied Sciences. 18(4). 267–293. 109 indexed citations

17.

Colton, David & Rainer Kreß. (1995). Eigenvalues of the Far Field Operator for the Helmholtz Equation in an Absorbing Medium. SIAM Journal on Applied Mathematics. 55(6). 1724–1735. 33 indexed citations

18.

Kreß, Rainer. (1995). Integral equation methods in inverse obstacle scattering. Engineering Analysis with Boundary Elements. 15(2). 171–179. 18 indexed citations

19.

Kreß, Rainer. (1995). Fréchet differentiability of the far field operator for scattering from a crack. Journal of Inverse and Ill-Posed Problems. 3(4). 24 indexed citations

20.

Kreß, Rainer. (1972). On general Hermite trigonometric interpolation. Numerische Mathematik. 20(2). 125–138. 15 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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