Herbert B. Keller

14.5k total citations · 3 hit papers
130 papers, 9.9k citations indexed

About

Herbert B. Keller is a scholar working on Computational Mechanics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, Herbert B. Keller has authored 130 papers receiving a total of 9.9k indexed citations (citations by other indexed papers that have themselves been cited), including 40 papers in Computational Mechanics, 37 papers in Numerical Analysis and 21 papers in Computational Theory and Mathematics. Recurrent topics in Herbert B. Keller's work include Differential Equations and Numerical Methods (27 papers), Numerical methods for differential equations (24 papers) and Fluid Dynamics and Turbulent Flows (19 papers). Herbert B. Keller is often cited by papers focused on Differential Equations and Numerical Methods (27 papers), Numerical methods for differential equations (24 papers) and Fluid Dynamics and Turbulent Flows (19 papers). Herbert B. Keller collaborates with scholars based in United States, Germany and Canada. Herbert B. Keller's co-authors include Eugene Isaacson, George H. Weiss, Willard L. Miranker, Eusebius J. Doedel, Robert Schreiber, Edward L. Reiss, Tuncer Cebeci, Gautam Shroff, Thomas Hagstrom and Hideo Takami and has published in prestigious journals such as Journal of Applied Physics, Journal of Fluid Mechanics and Physics Today.

In The Last Decade

Herbert B. Keller

122 papers receiving 8.3k citations

Hit Papers

Analysis of Numerical Methods 1967 2026 1986 2006 1967 1967 1983 500 1000 1.5k
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. Analysis of Numerical Methods
    1967 1.8k citations Eugene Isaacson, Herbert B. Keller et al. profile →
  2. Analysis of Numerical Methods
    1967 1.4k citations Eugene Isaacson, Herbert B. Keller et al. Mathematics of Computation profile →
  3. Driven cavity flows by efficient numerical techniques
    1983 412 citations Herbert B. Keller et al. Journal of Computational Physics profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Herbert B. Keller United States 45 3.6k 2.6k 2.0k 1.1k 1.1k 130 9.9k
C Moler United States 25 1.8k 0.5× 1.9k 0.7× 2.9k 1.4× 665 0.6× 788 0.7× 60 11.5k
L. F. Shampine United States 45 3.1k 0.9× 3.8k 1.5× 1.8k 0.9× 548 0.5× 741 0.7× 187 12.5k
Thomas A. Zang United States 27 4.5k 1.2× 1.9k 0.7× 907 0.4× 859 0.8× 874 0.8× 67 8.9k
Josef Stoer Germany 27 1.6k 0.4× 2.4k 0.9× 2.4k 1.2× 755 0.7× 536 0.5× 77 9.0k
Uri M. Ascher Canada 40 3.7k 1.0× 3.3k 1.2× 1.6k 0.8× 525 0.5× 553 0.5× 119 9.9k
Claudio Canuto Italy 28 5.3k 1.5× 2.8k 1.1× 1.4k 0.7× 1.1k 1.0× 1.7k 1.6× 113 10.8k
Gilbert Strang United States 43 5.0k 1.4× 2.0k 0.7× 3.0k 1.5× 2.0k 1.8× 3.0k 2.8× 185 18.6k
Roland Bulirsch Germany 24 1.4k 0.4× 1.8k 0.7× 1.5k 0.7× 682 0.6× 568 0.5× 48 8.6k
J. H. Wilkinson United Kingdom 37 1.7k 0.5× 3.2k 1.2× 5.9k 2.9× 1.2k 1.1× 779 0.7× 96 13.0k
Martin H. Schultz United States 26 5.0k 1.4× 2.5k 0.9× 4.1k 2.0× 601 0.5× 1.3k 1.2× 88 11.7k

Countries citing papers authored by Herbert B. Keller

Since Specialization
Citations

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

Fields of papers citing papers by Herbert B. Keller

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Herbert B. Keller. 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 Herbert B. Keller. The network helps show where Herbert B. Keller may publish in the future.

Co-authorship network of co-authors of Herbert B. Keller

This figure shows the co-authorship network connecting the top 25 collaborators of Herbert B. Keller. A scholar is included among the top collaborators of Herbert B. Keller 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 Herbert B. Keller. Herbert B. Keller 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.
Shroff, Gautam & Herbert B. Keller. (1993). Stabilization of Unstable Procedures: The Recursive Projection Method. SIAM Journal on Numerical Analysis. 30(4). 1099–1120. 177 indexed citations
2.
Doedel, Eusebius J., et al.. (1991). NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS. International Journal of Bifurcation and Chaos. 1(3). 493–520. 403 indexed citations
3.
Glowinski, Roland, et al.. (1985). Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems. SIAM Journal on Scientific and Statistical Computing. 6(4). 793–832. 84 indexed citations
4.
Keller, Herbert B.. (1981). Geometrically Isolated Nonisolated Solutions and Their Approximation. SIAM Journal on Numerical Analysis. 18(5). 822–838. 29 indexed citations
5.
Decker, D. W. & Herbert B. Keller. (1980). Multiple limit point bifurcation. Journal of Mathematical Analysis and Applications. 75(2). 417–430. 41 indexed citations
6.
Decker, D. W. & Herbert B. Keller. (1980). Solution branching - A constructive technique. 53. 12 indexed citations
7.
Cebeci, Tuncer, Herbert B. Keller, & Peter Williams. (1979). Separating boundary-layer flow calculations. Journal of Computational Physics. 31(3). 363–378. 21 indexed citations
8.
Keller, Herbert B., et al.. (1975). Vortex admission control of large steam turbines. 37. 1 indexed citations
9.
Keller, Herbert B.. (1975). Approximation methods for nonlinear problems with application to two-point boundary value problems. Mathematics of Computation. 29(130). 464–474. 82 indexed citations
10.
Keener, James P. & Herbert B. Keller. (1974). Positive solutions of convex nonlinear eigenvalue problems. Journal of Differential Equations. 16(1). 103–125. 61 indexed citations
11.
Isaacson, Eugene & Herbert B. Keller. (1973). Analyse numerischer Verfahren. 19 indexed citations
12.
Keller, Herbert B.. (1970). Nonlinear bifurcation. Journal of Differential Equations. 7(3). 417–434. 39 indexed citations
13.
Keller, Herbert B.. (1970). Newton's method under mild differentiability conditions. Journal of Computer and System Sciences. 4(1). 15–28. 30 indexed citations
14.
Keller, Herbert B.. (1969). Positive Solutions of Some Nonlinear Eigenvalue Problems. Indiana University Mathematics Journal. 19(4). 279–295. 13 indexed citations
15.
Bauer, Frances, Herbert B. Keller, & Edward L. Reiss. (1967). Boundary Imperfections in the Buckling of Spherical Caps. SIAM Journal on Applied Mathematics. 15(2). 273–283. 4 indexed citations
16.
Keller, Herbert B., et al.. (1967). Some Positone Problems Suggested by Nonlinear Heat Generation. CaltechAUTHORS (California Institute of Technology). 135 indexed citations
17.
Keller, Herbert B.. (1964). Propagation of Stress Discontinuities in Inhomogeneous Elastic Media. SIAM Review. 6(4). 356–382. 21 indexed citations
18.
Keller, Herbert B.. (1961). On the solution of semi‐linear hyperbolic systems by unconditionally stable difference methods. Communications on Pure and Applied Mathematics. 14(3). 447–456. 3 indexed citations
19.
Keller, Herbert B.. (1961). Finite Automata, Pattern Recognition and Perceptrons. Journal of the ACM. 8(1). 1–20. 5 indexed citations
20.
Keller, Herbert B.. (1960). On the Pointwise Convergence of the Discrete-Ordinate Method. Journal of the Society for Industrial and Applied Mathematics. 8(4). 560–567. 24 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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