Holger Wendland

9.2k total citations · 2 hit papers
74 papers, 6.2k citations indexed

About

Holger Wendland is a scholar working on Computational Mechanics, Mechanics of Materials and Computational Theory and Mathematics. According to data from OpenAlex, Holger Wendland has authored 74 papers receiving a total of 6.2k indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Computational Mechanics, 43 papers in Mechanics of Materials and 18 papers in Computational Theory and Mathematics. Recurrent topics in Holger Wendland's work include Numerical methods in engineering (37 papers), Advanced Numerical Methods in Computational Mathematics (29 papers) and Advanced Numerical Analysis Techniques (19 papers). Holger Wendland is often cited by papers focused on Numerical methods in engineering (37 papers), Advanced Numerical Methods in Computational Mathematics (29 papers) and Advanced Numerical Analysis Techniques (19 papers). Holger Wendland collaborates with scholars based in Germany, United Kingdom and Australia. Holger Wendland's co-authors include Robert Schaback, Armin Beckert, Francis J. Narcowich, J. D. Ward, Peter Giesl, Quôc Thông Lê Gia, Christian Rieger, Joseph Ward, Stefano De Marchı and Ian H. Sloan and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and SIAM Journal on Scientific Computing.

In The Last Decade

Holger Wendland

73 papers receiving 5.7k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

1995 2.2k citations Holger Wendland Advances in Computational Mathematics profile →
Scattered Data Approximation

2004 1.7k citations Holger Wendland profile →

Peers

Holger Wendland

CM

MM

CSE

CTM

SNP

Robert Schaback Germany

Richard B. Lehoucq United States

Graham F. Carey United States

Bengt Fornberg United States

Kazufumi Ito United States

Christoph Schwab Switzerland

E.J. Kansa United States

M. Yousuff Hussaini United States

Lars B. Wahlbin United States

Gregory E. Fasshauer United States

Robert Schaback Germany

Holger Wendland

2.2k ×0.6

CM

2.8k ×1.1

MM

577 ×0.8

CSE

396 ×0.6

CTM

518 ×0.9

SNP

Citations per year, relative to Holger Wendland Holger Wendland (= 1×) peers Robert Schaback

Countries citing papers authored by Holger Wendland

Since Specialization

Citations

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

Fields of papers citing papers by Holger Wendland

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Holger Wendland

This figure shows the co-authorship network connecting the top 25 collaborators of Holger Wendland. A scholar is included among the top collaborators of Holger Wendland 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 Holger Wendland. Holger Wendland 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.

Wendland, Holger, et al.. (2023). High-dimensional approximation with kernel-based multilevel methods on sparse grids. Numerische Mathematik. 154(3-4). 485–519. 2 indexed citations

2.

Wendland, Holger, et al.. (2021). An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method. SIAM Journal on Mathematical Analysis. 53(2). 1239–1262. 4 indexed citations

3.

Wendland, Holger, et al.. (2020). Solving partial differential equations on (evolving) surfaces with radial basis functions. Advances in Computational Mathematics. 46(4). 17 indexed citations

4.

Marchı, Stefano De & Holger Wendland. (2019). On the convergence of the rescaled localized radial basis function method. Applied Mathematics Letters. 99. 105996–105996. 11 indexed citations

5.

Rieger, Christian & Holger Wendland. (2018). Sampling inequalities for anisotropic tensor product grids. IMA Journal of Numerical Analysis. 40(1). 285–321. 2 indexed citations

6.

Wendland, Holger. (2017). Numerical Linear Algebra : An Introduction. ERef Bayreuth (University of Bayreuth). 9 indexed citations

7.

Gia, Quôc Thông Lê, Ian H. Sloan, & Holger Wendland. (2016). Zooming from global to local: a multiscale RBF approach. Advances in Computational Mathematics. 43(3). 581–606. 4 indexed citations

8.

Gia, Quôc Thông Lê, Ian H. Sloan, & Holger Wendland. (2011). Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere. Applied and Computational Harmonic Analysis. 32(3). 401–412. 13 indexed citations

9.

Giesl, Peter & Holger Wendland. (2011). Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems. Nonlinear Analysis. 74(10). 3191–3203. 7 indexed citations

10.

Schaback, Robert & Holger Wendland. (2006). Numerische Mathematik (Springer-Lehrbuch). Springer eBooks. 2 indexed citations

11.

Wendland, Holger, et al.. (2006). A Meshless Spatial Coupling Scheme for Large-scale Fluid-structure-interaction Problems. Computer Modeling in Engineering & Sciences. 12(2). 121–136. 32 indexed citations

12.

Gia, Quôc Thông Lê, F. J. Narcowich, J. D. Ward, & Holger Wendland. (2006). Continuous and discrete least-squares approximation by radial basis functions on spheres. Journal of Approximation Theory. 143(1). 124–133. 39 indexed citations

13.

Wendland, Holger. (2006). Spatial coupling in Aeroelasticity by meshless kernel-based methods. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas).

14.

Schaback, Robert & Holger Wendland. (2005). Numerische Mathematik. Springer-Lehrbuch. 2 indexed citations

15.

Wendland, Holger. (2001). Moving least squares approximation on the sphere. ERef Bayreuth (University of Bayreuth). 517–526. 12 indexed citations

16.

Beckert, Armin & Holger Wendland. (2001). Multivariate interpolation for fluid-structure-interaction problems using radial basis functions. Aerospace Science and Technology. 5(2). 125–134. 265 indexed citations

17.

Wendland, Holger. (2000). Optimal approximation orders in Lp for radial basis functions. ERef Bayreuth (University of Bayreuth). 6(1). 87–102. 1 indexed citations

18.

Wendland, Holger. (1999). On the smoothness of positive definite and radial functions. Journal of Computational and Applied Mathematics. 101(1-2). 177–188. 39 indexed citations

19.

Wendland, Holger. (1998). Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree. Journal of Approximation Theory. 93(2). 258–272. 270 indexed citations

20.

Wendland, Holger. (1998). Numerical solution of variational problems by radial basis functions. ERef Bayreuth (University of Bayreuth). 13 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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