C. W. Gear

14.4k citations

100 papers · 9.7k indexed · 4 hit papers · h-index 38

Impact in

Numerical Analysis top 0.1%
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
Computational Theory and Mathematics top 0.1%
- Matrix Theory and Algorithms
- Modeling and Simulation Systems

Papers in

Numerical Analysis 57
- Numerical methods for differential equations 52
- Differential Equations and Numerical Methods 12
Computational Theory and Mathematics 47
- Matrix Theory and Algorithms 24
- Advanced Mathematical Modeling in Engineering 11
- Modeling and Simulation Systems 7

Co-authors: Ioannis G. Kevrekidis Linda Petzold Hans J. Stetter Constantinos Theodoropoulos Benedict Leimkuhler Gopal Gupta Gerhard Hummer David Wells
Journals: SIAM Journal on Numerical Analysis (6 papers)Journal of Computational and Applied Mathematics (6 papers)Mathematics of Computation (5 papers)Communications of the ACM (4 papers)Journal of Computational Physics (4 papers)
Partner nations: United States Italy Greece

In The Last Decade

C. W. Gear

96 papers receiving 8.5k citations

Hit Papers

align trajectories log scale

Equation-Free, Coarse-Grained Multiscale Computation: Enabling Mocroscopic Simulators to Perform System-Level Analysis 2003 · 536 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

2003 Communications in Mathematical Sciences
1973 Mathematics of Computation
1971 Communications of the ACM
1971 IEEE Transactions on Circuit Theory

Peers

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-authors

The 25 scholars most cited alongside C. W. Gear, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with C. W. Gear Line = papers co-authored together C. W. Gear links everyone, so they are left out of the graph.

All Works

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

20 of 20 papers shown

#	Work
1	Manifold learning for parameter reduction Journal of Computational Physics ·Alexander Holiday, Mahdi Kooshkbaghi, Juan M. Bello‐Rivas, C. W. Gear, Antonios Zagaris, Ioannis G. Kevrekidis	2019	30
2	Intrinsic map dynamics exploration for uncharted effective free-energy landscapes Proceedings of the National Academy of Sciences ·Eliodoro Chiavazzo, Roberto Covino, Ronald R. Coifman, C. W. Gear, Anastasia Georgiou, Gerhard Hummer, Ioannis G. Kevrekidis	2017	91
3	Manifolds defined by points: Parameterizing and boundary detection (extended abstract) AIP conference proceedings ·C. W. Gear, Eliodoro Chiavazzo, Ioannis G. Kevrekidis	2016	4
4	Time varying radial basis functions Journal of Computational and Applied Mathematics ·Arta A. Jamshidi, C. W. Gear, Ioannis G. Kevrekidis	2014	0
5	Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion SIAM Journal on Numerical Analysis ·Zvi Artstein, C. W. Gear, Ioannis G. Kevrekidis, Marshall Slemrod, Edriss S. Titi	2011	13
6	Towards explicit methods for differential algebraic equations BIT Numerical Mathematics ·C. W. Gear	2006	17
7	Invariants and numerical methods for ODEs Physica D Nonlinear Phenomena ·C. W. Gear	1992	27
8	Numerical methods for ordinary differential equations : proceedings of the workshop held in L'Aquila (Italy), Sept. 16-18, 1987 Springer eBooks ·Alfredo Bellen, C. W. Gear, E. Russo	1989	1
9	s-step iterative methods for symmetric linear systems Journal of Computational and Applied Mathematics ·A.T. Chronopoulos, C. W. Gear	1989	135
10	EFFICIENT STEP SIZE CONTROL FOR OUTPUT AND DISCONTINUITIES. C. W. Gear	1984	5
11	Solving Ordinary Differential Equations with Discontinuities ACM Transactions on Mathematical Software ·C. W. Gear, O. Osterby	1984	74
12	Automatic Multirate Methods for Ordinary Differential Equation. IFIP Congress ·C. W. Gear	1980	12
13	Estimation of Errors and Derivatives in Ordinary Differential Equations. IFIP Congress ·C. W. Gear	1974	5
14	Analysis of Discretization Methods for Ordinary Differential Equations Mathematics of Computation ·C. W. Gear, Hans J. Stetter	1974	298
15	Numerical initial value problems in ordinary differential equations CERN Document Server (European Organization for Nuclear Research) ·C. W. Gear	1971	71
16	A simple set of test matrices for eigenvalue programs Mathematics of Computation ·C. W. Gear	1969	14
17	The automatic integration of stiff ordinary differential equations. IFIP Congress ·C. W. Gear	1968	196
18	The numerical integration of ordinary differential equations Mathematics of Computation ·C. W. Gear	1967	136
19	The Numerical Integration of Ordinary Differential Equations Mathematics of Computation ·C. W. Gear	1967	22
20	Optimization of the Address Field Compilation in the ILLIAC 2 Assembler The Computer Journal ·C. W. Gear	1964	2

About C. W. Gear

C. W. Gear is a scholar working on Numerical Analysis, Computational Theory and Mathematics, Statistical and Nonlinear Physics, Modeling and Simulation and Computational Mechanics, having authored 100 papers that have together received 9.7k indexed citations. Recurring topics across this work include Numerical methods for differential equations (52 papers), Matrix Theory and Algorithms (24 papers), Advanced Numerical Methods in Computational Mathematics (18 papers), Model Reduction and Neural Networks (13 papers), Differential Equations and Numerical Methods (12 papers), Advanced Mathematical Modeling in Engineering (11 papers), Electromagnetic Simulation and Numerical Methods (9 papers) and Modeling and Simulation Systems (7 papers). The work is most often cited by research in Numerical Analysis (3.0k citations), Computational Theory and Mathematics (2.3k citations), Computational Mechanics (2.4k citations), Statistical and Nonlinear Physics (1.3k citations) and Modeling and Simulation (430 citations). C. W. Gear has collaborated with scholars based in United States, Italy and Greece. Frequent co-authors include Ioannis G. Kevrekidis, Linda Petzold, Hans J. Stetter, Constantinos Theodoropoulos, Benedict Leimkuhler, Gopal Gupta, Gerhard Hummer, David Wells, Olof Runborg and James M. Hyman. Their work appears in journals such as SIAM Journal on Numerical Analysis, Journal of Computational and Applied Mathematics, Mathematics of Computation, Communications of the ACM and Journal of Computational Physics.

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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