C. W. Gear

14.4k total citations · 4 hit papers
100 papers, 9.7k citations indexed

About

C. W. Gear is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, C. W. Gear has authored 100 papers receiving a total of 9.7k indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Numerical Analysis, 47 papers in Computational Theory and Mathematics and 28 papers in Computational Mechanics. Recurrent topics in C. W. Gear's work include Numerical methods for differential equations (52 papers), Matrix Theory and Algorithms (24 papers) and Advanced Numerical Methods in Computational Mathematics (18 papers). C. W. Gear is often cited by papers focused on Numerical methods for differential equations (52 papers), Matrix Theory and Algorithms (24 papers) and Advanced Numerical Methods in Computational Mathematics (18 papers). C. W. Gear collaborates with scholars based in United States, Italy and Greece. C. W. Gear's co-authors include Ioannis G. Kevrekidis, Linda Petzold, Hans J. Stetter, Constantinos Theodoropoulos, Benedict Leimkuhler, Gopal Gupta, Gerhard Hummer, David Wells, James M. Hyman and Olof Runborg and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Proceedings of the IEEE and Journal of Computational Physics.

In The Last Decade

C. W. Gear

96 papers receiving 8.5k 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.

Numerical Initial Value Problems in Ordinary Differential Equations

1973 3.1k citations C. W. Gear et al. Mathematics of Computation profile →
Equation-Free, Coarse-Grained Multiscale Computation: Enabling Mocroscopic Simulators to Perform System-Level Analysis

2003 536 citations C. W. Gear, Ioannis G. Kevrekidis et al. profile →
The automatic integration of ordinary differential equations

1971 494 citations C. W. Gear profile →
Simultaneous Numerical Solution of Differential-Algebraic Equations

1971 429 citations C. W. Gear profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
C. W. Gear United States	38	3.0k	2.4k	2.3k	1.6k	1.3k	100	9.7k
L. F. Shampine United States	45	3.8k 1.3×	3.1k 1.3×	1.8k 0.8×	1.5k 0.9×	1.3k 0.9×	187	12.5k
C Moler United States	25	1.9k 0.7×	1.8k 0.7×	2.9k 1.2×	1.2k 0.8×	1.0k 0.7×	60	11.5k
Richard H. Byrd United States	32	2.4k 0.8×	1.8k 0.8×	2.3k 1.0×	1.2k 0.8×	505 0.4×	69	12.4k
Gilbert Strang United States	43	2.0k 0.7×	5.0k 2.1×	3.0k 1.3×	1.4k 0.9×	884 0.7×	185	18.6k
Uri M. Ascher Canada	40	3.3k 1.1×	3.7k 1.5×	1.6k 0.7×	1.3k 0.8×	916 0.7×	119	9.9k
J. E. Dennis United States	40	4.9k 1.6×	2.4k 1.0×	6.8k 2.9×	2.5k 1.6×	704 0.5×	86	18.0k
R. Fletcher United Kingdom	38	5.1k 1.7×	2.6k 1.1×	4.6k 2.0×	2.7k 1.7×	463 0.3×	83	18.0k
Roland Bulirsch Germany	24	1.8k 0.6×	1.4k 0.6×	1.5k 0.6×	983 0.6×	841 0.6×	48	8.6k
Robert B. Schnabel United States	27	2.6k 0.9×	1.5k 0.6×	2.4k 1.0×	1.1k 0.7×	416 0.3×	83	9.1k
Josef Stoer Germany	27	2.4k 0.8×	1.6k 0.7×	2.4k 1.0×	859 0.5×	767 0.6×	77	9.0k

Countries citing papers authored by C. W. Gear

Since Specialization

Citations

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

Fields of papers citing papers by C. W. Gear

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by C. W. Gear. 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 C. W. Gear. The network helps show where C. W. Gear may publish in the future.

Co-authorship network of co-authors of C. W. Gear

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Kooshkbaghi, Mahdi, et al.. (2019). Manifold learning for parameter reduction. Journal of Computational Physics. 392. 419–431. 30 indexed citations

2.

Chiavazzo, Eliodoro, Roberto Covino, Ronald R. Coifman, et al.. (2017). Intrinsic map dynamics exploration for uncharted effective free-energy landscapes. Proceedings of the National Academy of Sciences. 114(28). E5494–E5503. 91 indexed citations

3.

Gear, C. W., Eliodoro Chiavazzo, & Ioannis G. Kevrekidis. (2016). Manifolds defined by points: Parameterizing and boundary detection (extended abstract). AIP conference proceedings. 1738. 20005–20005. 4 indexed citations

4.

Gear, C. W., et al.. (2014). Time varying radial basis functions. Journal of Computational and Applied Mathematics. 266. 61–72.

5.

Chiavazzo, Eliodoro, et al.. (2014). Reduced Models in Chemical Kinetics via Nonlinear Data-Mining. Processes. 2(1). 112–140. 38 indexed citations

6.

Artstein, Zvi, C. W. Gear, Ioannis G. Kevrekidis, Marshall Slemrod, & Edriss S. Titi. (2011). Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion. SIAM Journal on Numerical Analysis. 49(5). 2124–2143. 13 indexed citations

7.

Lee, Steven L. & C. W. Gear. (2006). Second-order accurate projective integrators for multiscale problems. Journal of Computational and Applied Mathematics. 201(1). 258–274. 33 indexed citations

8.

Bellen, Alfredo, C. W. Gear, & E. Russo. (1989). Numerical methods for ordinary differential equations : proceedings of the workshop held in L'Aquila (Italy), Sept. 16-18, 1987. Springer eBooks. 1 indexed citations

9.

Chronopoulos, A.T. & C. W. Gear. (1989). s-step iterative methods for symmetric linear systems. Journal of Computational and Applied Mathematics. 25(2). 153–168. 135 indexed citations

10.

Bellen, Alfredo, C. W. Gear, & E. Russo. (1989). Numerical Methods for Ordinary Differential Equations. Lecture notes in mathematics. 18 indexed citations

11.

Gear, C. W.. (1984). EFFICIENT STEP SIZE CONTROL FOR OUTPUT AND DISCONTINUITIES.. 1(1). 27–31. 5 indexed citations

12.

Gear, C. W., et al.. (1984). Solving Ordinary Differential Equations with Discontinuities. ACM Transactions on Mathematical Software. 10(1). 23–44. 74 indexed citations

13.

Gear, C. W.. (1980). Automatic Multirate Methods for Ordinary Differential Equation.. IFIP Congress. 717–722. 12 indexed citations

14.

Gear, C. W.. (1974). Estimation of Errors and Derivatives in Ordinary Differential Equations.. IFIP Congress. 447–451. 5 indexed citations

15.

Gear, C. W. & Hans J. Stetter. (1974). Analysis of Discretization Methods for Ordinary Differential Equations. Mathematics of Computation. 28(127). 868–868. 298 indexed citations

16.

Gear, C. W.. (1969). A simple set of test matrices for eigenvalue programs. Mathematics of Computation. 23(105). 119–125. 14 indexed citations

17.

Gear, C. W.. (1968). The automatic integration of stiff ordinary differential equations.. IFIP Congress. 187–193. 196 indexed citations

18.

Gear, C. W.. (1967). The numerical integration of ordinary differential equations. Mathematics of Computation. 21(98). 146–156. 136 indexed citations

19.

Gear, C. W.. (1967). The Numerical Integration of Ordinary Differential Equations. Mathematics of Computation. 21(98). 146–146. 22 indexed citations

20.

Gear, C. W.. (1964). Optimization of the Address Field Compilation in the ILLIAC 2 Assembler. The Computer Journal. 6(4). 332–335. 2 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.

Explore authors with similar magnitude of impact