World's Best Scientists 2026 revealed!
Charles William Gear

Charles William Gear

D-Index & Metrics

Mathematics

D-Index
47
Citations
16010
World Ranking
1238
National Ranking
551

Charles William Gear publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Charles William Gear sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 121 publications — 21st percentile

21% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Charles William Gear D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Charles William Gear sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 47 D-Index — 66th percentile

66% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2009 - SIAM Fellow For contributions to numerical methods and software for ordinary differential equations and differential-algebraic equations.
  • 1996 - Fellow of the American Academy of Arts and Sciences
  • 1992 - Member of the National Academy of Engineering For seminal work in methods and software for solving classes of differential equations and differential-algebraic equations of significance in applications.

Overview

Charles William Gear is affiliated with Princeton University in the United States. The primary focus of their work lies in the development of numerical methods and software for solving ordinary differential equations and differential-algebraic equations.

The scientist's contributions have been formally recognized through several awards. In 1992, they were made a Member of the National Academy of Engineering for seminal work related to methods and software addressing differential equations and differential-algebraic equations significant in practical applications. In 1996, they became a Fellow of the American Academy of Arts and Sciences. Subsequently, in 2009, they were named a SIAM Fellow with citation noting contributions to numerical methods and software for ordinary differential equations and differential-algebraic equations.

Although no detailed publication record or list of frequent co-authors and venues is provided, the recognized focus areas imply a specialization in numerical analysis within applied mathematics and computational science. The repeated acknowledgment by prestigious academies indicates involvement with the advancement of computational techniques pertinent to solving complex differential systems.

Charles William Gear's research aligns with areas that have implications in engineering, physics, and other disciplines requiring numerical solutions to differential-algebraic systems. Their work contributes to improving the accuracy, efficiency, and robustness of computational approaches used in simulations and modeling across varying applications.

Best Publications

  • Numerical initial value problem~ in ordinary differential eqttations

    Unknown

  • Equation-Free, Coarse-Grained Multiscale Computation: Enabling Mocroscopic Simulators to Perform System-Level Analysis

    C. William Gear;James M. Hyman;Panagiotis G Kevrekidid;Ioannis G. Kevrekidis

  • The automatic integration of ordinary differential equations

    C. W. Gear

  • Simultaneous Numerical Solution of Differential-Algebraic Equations

    C. Gear

  • ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS

    C. W. Gear;L. R. Petzold

  • Automatic integration of Euler-Lagrange equations with constraints

    Charles William Gear;B. Leimkuhler;G. K. Gupta

  • The index of general nonlinear DAEs

    Stephen L. Campbell;C. William Gear

  • Equation-free: The computer-aided analysis of complex multiscale systems

    Ioannis G. Kevrekidis;C. William Gear;Gerhard Hummer

  • Algorithm 407: DIFSUB for solution of ordinary differential equations [D2]

    C. W. Gear

  • A User’s View of Solving Stiff Ordinary Differential Equations

    Lawrence Shampine;Charles Gear

  • Multirate linear multistep methods

    Charles William Gear;Charles William Gear;D. R. Wells;D. R. Wells

  • Numerical Methods for Ordinary Differential Equations

    Unknown

  • Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum

    C. W. Gear;Ioannis G. Kevrekidis

  • Differential-algebraic equations index transformations

    Unknown

  • 'Coarse' integration/bifurcation analysis via microscopic simulators: Micro-Galerkin methods

    C.W. Gear;Ioannis G. Kevrekidis;Constantinos Theodoropoulos

  • The numerical integration of ordinary differential equations

    Charles William Gear

  • s -step iterative methods for symmetric linear systems

    A. T. Chronopoulos;C. W. Gear

  • Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes

    C. W. Gear;T. J. Kaper;I. G. Kevrekidis;A. Zagaris

  • Differential algebraic equations, indices, and integral algebraic equations

    C. W. Gear

  • Multibody Grouping from Motion Images

    Unknown

  • Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme

    Ju Li;Panayotis G. Kevrekidis;C. William Gear;Ioannis G. Kevrekidis

  • The gap-tooth method in particle simulations

    C.William Gear;Ju Li;Ioannis G Kevrekidis

  • Numerical integration of ordinary differential equations of various orders

    C. W. Gear

  • Iterative Solution of Linear Equations in ODE Codes

    C. W. Gear;Y. Saad

Frequent Co-Authors

Ioannis G. Kevrekidis
Ioannis G. Kevrekidis Johns Hopkins University
Linda R. Petzold
Linda R. Petzold University of California, Santa Barbara
Pablo G. Debenedetti
Pablo G. Debenedetti Princeton University
Iain S. Duff
Iain S. Duff Rutherford Appleton Laboratory
Robert D. Skeel
Robert D. Skeel Purdue University West Lafayette
Benedict Leimkuhler
Benedict Leimkuhler University of Edinburgh
Hans G. Othmer
Hans G. Othmer University of Minnesota
John Reid
John Reid Rutherford Appleton Laboratory
Tasso J. Kaper
Tasso J. Kaper Boston University
Kyle A. Gallivan
Kyle A. Gallivan Florida State University

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