Gilbert Strang

28.1k total citations · 9 hit papers
185 papers, 18.6k citations indexed

About

Gilbert Strang is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Computer Vision and Pattern Recognition. According to data from OpenAlex, Gilbert Strang has authored 185 papers receiving a total of 18.6k indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Computational Theory and Mathematics, 35 papers in Applied Mathematics and 30 papers in Computer Vision and Pattern Recognition. Recurrent topics in Gilbert Strang's work include Image and Signal Denoising Methods (25 papers), Matrix Theory and Algorithms (24 papers) and Digital Filter Design and Implementation (14 papers). Gilbert Strang is often cited by papers focused on Image and Signal Denoising Methods (25 papers), Matrix Theory and Algorithms (24 papers) and Digital Filter Design and Implementation (14 papers). Gilbert Strang collaborates with scholars based in United States, Hong Kong and Germany. Gilbert Strang's co-authors include Truong Q. Nguyen, George J. Fix, Per‐Olof Persson, Robert V. Kohn, L. B. Freund, Vasily Strela, Hermann G. Matthies, Kai Borre, Raymond H. Chan and Christopher Heil and has published in prestigious journals such as Science, Proceedings of the National Academy of Sciences and IEEE Transactions on Image Processing.

In The Last Decade

Gilbert Strang

171 papers receiving 16.6k citations

Hit Papers

Wavelets and filter banks 1968 2026 1987 2006 1996 1974 1968 1976 2004 500 1000 1.5k 2.0k 2.5k
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.

  1. Wavelets and filter banks
    1996 3.0k citations Gilbert Strang, Truong Q. Nguyen CERN Document Server (European Organization for Nuclear Research) profile →
  2. An Analysis of the Finite Element Method
    1974 2.5k citations Gilbert Strang et al. profile →
  3. On the Construction and Comparison of Difference Schemes
    1968 2.5k citations Gilbert Strang profile →
  4. Linear Algebra and Its Applications
    1976 1.2k citations Gilbert Strang et al. profile →
  5. A Simple Mesh Generator in MATLAB
    2004 1.1k citations Per‐Olof Persson, Gilbert Strang SIAM Review profile →
  6. Wavelets and Dilation Equations: A Brief Introduction
    1989 672 citations Gilbert Strang SIAM Review profile →
  7. Optimal design and relaxation of variational problems, I
    1986 431 citations Gilbert Strang et al. profile →
  8. Introduction to Applied Mathematics
    1986 415 citations Gilbert Strang et al. profile →
  9. The solution of nonlinear finite element equations
    1979 390 citations Gilbert Strang et al. profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Gilbert Strang 5.0k 3.8k 3.0k 3.0k 2.1k 185 18.6k
Per Christian Hansen 3.7k 0.7× 2.6k 0.7× 2.6k 0.9× 1.5k 0.5× 2.4k 1.1× 168 19.4k
Michael A. Saunders 7.8k 1.6× 4.1k 1.1× 887 0.3× 3.6k 1.2× 2.1k 1.0× 133 25.9k
Carl de Boor 6.3k 1.3× 2.6k 0.7× 1.4k 0.5× 1.9k 0.6× 795 0.4× 156 16.4k
Jorge Nocedal 6.0k 1.2× 3.9k 1.0× 1.5k 0.5× 6.4k 2.1× 3.6k 1.7× 105 37.3k
Grace Wahba 3.0k 0.6× 3.6k 0.9× 790 0.3× 1.1k 0.4× 763 0.4× 148 21.9k
Tony F. Chan 11.2k 2.2× 18.9k 5.0× 1.6k 0.5× 4.2k 1.4× 2.7k 1.3× 403 39.5k
Jack Dongarra 3.8k 0.8× 1.9k 0.5× 795 0.3× 8.3k 2.8× 4.0k 1.9× 1.0k 35.6k
M. J. D. Powell 2.7k 0.5× 1.2k 0.3× 1.0k 0.3× 3.9k 1.3× 1.5k 0.7× 101 17.5k
James A. Sethian 12.6k 2.5× 10.5k 2.8× 3.2k 1.1× 2.4k 0.8× 1.8k 0.9× 160 32.1k
Ronald R. Coifman 1.9k 0.4× 4.8k 1.3× 879 0.3× 1.8k 0.6× 1.7k 0.8× 196 21.1k

Countries citing papers authored by Gilbert Strang

Since Specialization
Citations

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

Fields of papers citing papers by Gilbert Strang

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gilbert Strang

This figure shows the co-authorship network connecting the top 25 collaborators of Gilbert Strang. A scholar is included among the top collaborators of Gilbert Strang 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 Gilbert Strang. Gilbert Strang 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.
Strang, Gilbert, et al.. (2024). The Art of Linear Algebra. PRIMUS. 35(9-10). 1001–1014. 1 indexed citations
2.
Dooren, Paul Van & Gilbert Strang. (2014). Symmetric elimination without pivoting. Linear Algebra and its Applications. 452. 40–45.
3.
Strang, Gilbert, David Yang Gao, & Hanif D. Sherali. (2009). Advances in applied mathematics and global optimization : in honor of Gilbert Strang. Springer eBooks. 2 indexed citations
4.
Olshevsky, Vadim, et al.. (2009). Green’s matrices. Linear Algebra and its Applications. 432(1). 218–241. 9 indexed citations
5.
Parlett, Beresford Ν. & Gilbert Strang. (2008). Matrices with prescribed Ritz values. Linear Algebra and its Applications. 428(7). 1725–1739. 13 indexed citations
6.
Edelman, Alan & Gilbert Strang. (2004). Pascal Matrices. American Mathematical Monthly. 111(3). 189–197. 30 indexed citations
7.
Persson, Per‐Olof & Gilbert Strang. (2004). A Simple Mesh Generator in MATLAB. SIAM Review. 46(2). 329–345. 1063 indexed citations breakdown →
8.
Gorsich, David, Marc G. Genton, & Gilbert Strang. (2002). Eigenstructures of Spatial Design Matrices. Journal of Multivariate Analysis. 80(1). 138–165. 7 indexed citations
9.
Shen, Jianhong & Gilbert Strang. (2000). On Wavelet Fundamental Solutions to the Heat Equation—Heatlets. Journal of Differential Equations. 161(2). 403–421. 8 indexed citations
10.
Shen, Jianhong & Gilbert Strang. (1998). Asymptotics of Daubechies Filters, Scaling Functions, and Wavelets. Applied and Computational Harmonic Analysis. 5(3). 312–331. 29 indexed citations
11.
Strang, Gilbert. (1997). Every unit matrix is a LULU. Linear Algebra and its Applications. 265. 165–172. 3 indexed citations
12.
Strang, Gilbert. (1997). Every unit matrix is a LULU. Linear Algebra and its Applications. 265(1-3). 165–172. 13 indexed citations
13.
Strang, Gilbert & Truong Q. Nguyen. (1996). Wavelets and filter banks. CERN Document Server (European Organization for Nuclear Research). 2997 indexed citations breakdown →
14.
Iserles, Arieh & Gilbert Strang. (1983). The Optimal Accuracy of Difference Schemes. Transactions of the American Mathematical Society. 277(2). 779–779. 7 indexed citations
15.
Iserles, Arieh & Gilbert Strang. (1983). The optimal accuracy of difference schemes. Transactions of the American Mathematical Society. 277(2). 779–803. 54 indexed citations
16.
Strang, Gilbert. (1974). The Finite Element Method--Linear and Nonlinear Applications. French digital mathematics library (Numdam). 1–11. 7 indexed citations
17.
Flaschka, H. & Gilbert Strang. (1971). The correctness of the Cauchy problem. Advances in Mathematics. 6(3). 347–379. 54 indexed citations
18.
Strang, Gilbert. (1966). Implicit difference methods for initial-boundary value problems. Journal of Mathematical Analysis and Applications. 16(1). 188–198. 14 indexed citations
19.
Strang, Gilbert. (1966). Necessary and insufficient conditions for well-posed Cauchy problems. Journal of Differential Equations. 2(1). 107–114. 29 indexed citations
20.
Strang, Gilbert. (1962). Polynomial approximation of Bernstein type. Transactions of the American Mathematical Society. 105(3). 525–535. 18 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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