Gregory E. Fasshauer

3.8k total citations · 1 hit paper
60 papers, 2.7k citations indexed

About

Gregory E. Fasshauer is a scholar working on Mechanics of Materials, Computational Mechanics and Civil and Structural Engineering. According to data from OpenAlex, Gregory E. Fasshauer has authored 60 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mechanics of Materials, 23 papers in Computational Mechanics and 11 papers in Civil and Structural Engineering. Recurrent topics in Gregory E. Fasshauer's work include Numerical methods in engineering (30 papers), Advanced Numerical Analysis Techniques (14 papers) and Advanced Numerical Methods in Computational Mathematics (13 papers). Gregory E. Fasshauer is often cited by papers focused on Numerical methods in engineering (30 papers), Advanced Numerical Analysis Techniques (14 papers) and Advanced Numerical Methods in Computational Mathematics (13 papers). Gregory E. Fasshauer collaborates with scholars based in United States, Portugal and Italy. Gregory E. Fasshauer's co-authors include A.J.M. Ferreira, Michael McCourt, Michael J. McCourt, Larry L. Schumaker, R.C. Batra, Ward Cheney, Will Light, A.Q.M. Khaliq, J. Dias Rodrigues and Leevan Ling and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Journal of Sound and Vibration and Composite Structures.

In The Last Decade

Gregory E. Fasshauer

58 papers receiving 2.6k 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.

On choosing “optimal” shape parameters for RBF approximation

2007 476 citations Gregory E. Fasshauer et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gregory E. Fasshauer United States	25	1.7k	1.0k	560	382	355	60	2.7k
Leevan Ling Hong Kong	25	1.6k 0.9×	878 0.9×	259 0.5×	441 1.2×	439 1.2×	87	2.2k
Grady B. Wright United States	22	1.2k 0.7×	1.2k 1.2×	187 0.3×	420 1.1×	238 0.7×	45	2.2k
Martin Buhmann Germany	20	866 0.5×	936 0.9×	226 0.4×	379 1.0×	252 0.7×	61	2.5k
Natasha Flyer United States	26	1.2k 0.7×	1.2k 1.2×	158 0.3×	475 1.2×	240 0.7×	58	2.5k
Robert Schaback Germany	31	2.8k 1.6×	2.2k 2.2×	577 1.0×	649 1.7×	504 1.4×	106	4.2k
Zongmin Wu China	19	1.1k 0.6×	926 0.9×	195 0.3×	311 0.8×	171 0.5×	53	1.7k
Zhuojia Fu China	35	2.7k 1.6×	835 0.8×	765 1.4×	552 1.4×	781 2.2×	139	3.6k
Michael A. Golberg United States	27	2.5k 1.5×	1.2k 1.2×	595 1.1×	529 1.4×	492 1.4×	91	3.4k
R.L. Taylor United States	13	1.2k 0.7×	915 0.9×	564 1.0×	214 0.6×	160 0.5×	31	2.3k
D. Lesnic United Kingdom	38	3.6k 2.1×	1.2k 1.2×	359 0.6×	565 1.5×	649 1.8×	314	6.1k

Countries citing papers authored by Gregory E. Fasshauer

Since Specialization

Citations

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

Fields of papers citing papers by Gregory E. Fasshauer

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gregory E. Fasshauer. 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 Gregory E. Fasshauer. The network helps show where Gregory E. Fasshauer may publish in the future.

Co-authorship network of co-authors of Gregory E. Fasshauer

This figure shows the co-authorship network connecting the top 25 collaborators of Gregory E. Fasshauer. A scholar is included among the top collaborators of Gregory E. Fasshauer 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 Gregory E. Fasshauer. Gregory E. Fasshauer 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

Gao, Wenwu, et al.. (2024). Quasi-interpolation for high-dimensional function approximation. Numerische Mathematik. 156(5). 1855–1885. 1 indexed citations

Fasshauer, Gregory E., et al.. (2023). Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications. Analysis and Applications. 21(4). 1067–1103. 3 indexed citations

Fasshauer, Gregory E., Marian Neamtu, & Larry L. Schumaker. (2021). Approximation Theory XVI. Springer proceedings in mathematics & statistics. 5 indexed citations

Fasshauer, Gregory E., et al.. (2018). A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels. Computers & Mathematics with Applications. 77(9). 2354–2368. 39 indexed citations

Rashidinia, Jalil, et al.. (2017). A stable Gaussian radial basis function method for solving nonlinear unsteady convection–diffusion–reaction equations. Computers & Mathematics with Applications. 75(5). 1831–1850. 22 indexed citations

Nath, S. K. Deb, et al.. (2017). Frequency-domain meshless solver for acoustic wave equation using a stable radial basis-finite difference (RBF-FD) algorithm with hybrid kernels. 4022–4027. 7 indexed citations

Rashidinia, Jalil, et al.. (2016). A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems. Computers & Mathematics with Applications. 72(1). 178–193. 37 indexed citations

Fasshauer, Gregory E. & Michael McCourt. (2014). Kernel-based Approximation Methods using MATLAB. 217 indexed citations

Fasshauer, Gregory E.. (2011). Positive definite kernels: past, present and future. 4. 50 indexed citations

10.

Fasshauer, Gregory E., et al.. (2011). Application of two radial basis function-pseudospectral meshfree methods to three-dimensional electromagnetic problems. IET Science Measurement & Technology. 5(6). 206–210. 8 indexed citations

11.

Fasshauer, Gregory E. & Qi Ye. (2011). Reproducing kernels of Sobolev spaces via a green kernel approach with differential operators and boundary operators. Advances in Computational Mathematics. 38(4). 891–921. 15 indexed citations

12.

Cakmakci, Ozan, et al.. (2010). Application of Radial Basis Functions to Represent Optical Freeform Surfaces. IMC1–IMC1. 2 indexed citations

13.

Fasshauer, Gregory E.. (2008). On the Numerical Solution of Differential Equations With Radial Basis Functions. 1 indexed citations

14.

Fasshauer, Gregory E.. (2005). RBF Collocation Methods As PseudospectralMethods. WIT transactions on modelling and simulation. 39. 31 indexed citations

15.

Fasshauer, Gregory E.. (2005). Dual bases and discrete reproducing kernels: a unified framework for RBF and MLS approximation. Engineering Analysis with Boundary Elements. 29(4). 313–325. 6 indexed citations

16.

Fasshauer, Gregory E.. (2004). Toward approximate moving least squares approximation with irregularly spaced centers. Computer Methods in Applied Mechanics and Engineering. 193(12-14). 1231–1243. 14 indexed citations

17.

Fasshauer, Gregory E., Eugene C. Gartland, & Joseph W. Jerome. (2000). Algorithms defined by Nash iteration: some implementations via multilevel collocation and smoothing. Journal of Computational and Applied Mathematics. 119(1-2). 161–183. 6 indexed citations

18.

Fasshauer, Gregory E. & Larry L. Schumaker. (1998). Scattered data fitting on the sphere. 124(52). 117–166. 77 indexed citations

19.

Fasshauer, Gregory E. & Larry L. Schumaker. (1996). Minimal energy surfaces using parametric splines. Computer Aided Geometric Design. 13(1). 45–79. 30 indexed citations

20.

Fasshauer, Gregory E.. (1970). On The Numerical Solution Of DifferentialEquations With Radial Basis Functions. WIT transactions on modelling and simulation. 23. 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.

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