World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
11489
World Ranking
1552
National Ranking
671

Engineering and Technology

D-Index
44
Citations
11439
World Ranking
5696
National Ranking
1590

Carl Tim Kelley 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 Carl Tim Kelley 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: 83 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: 222 publications — 70th percentile

70% of scientists in this discipline score the same or lower.

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

Carl Tim Kelley 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 Carl Tim Kelley 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: 138 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: 44 D-Index — 58th percentile

58% 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

  • 2018 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2009 - SIAM Fellow For contributions to nonlinear equations, optimization, and flow in porous media.

Overview

Carl Tim Kelley is affiliated with North Carolina State University in the United States. Their research spans multiple fields including Mathematics, Computer Science, and Physics and Astronomy, with a focus on subfields such as Numerical Analysis, Computational Theory and Mathematics, Atomic and Molecular Physics, and Materials Chemistry.

The scientist's main research topics include Matrix Theory and Algorithms, Iterative Methods for Nonlinear Equations, Nuclear Reactor Physics and Engineering, Nuclear Physics and Applications, Advanced Optimization Algorithms Research, Model Reduction and Neural Networks, and Numerical Methods and Algorithms.

Key recent publications by Carl Tim Kelley include: Newton's Method in Mixed Precision (2022) published in SIAM Review; Mesh Independence of the Generalized Davidson Algorithm (2020) in Journal of Computational Physics; as well as collaborative works such as Efficient Approximation of Potential Energy Surfaces with Mixed-Basis Interpolation (2021) in Journal of Chemical Theory and Computation, Interpolation Methods for Molecular Potential Energy Surface Construction (2021) in The Journal of Physical Chemistry A, and Anderson Acceleration for a Class of Nonsmooth Fixed-Point Problems (2021) in SIAM Journal on Scientific Computing.

Frequent coauthors include Zachary Morrow, Hyuk-Yong Kwon, Elena Jakubíková, Ilham Variansyah, and Ryan G. McClarren, each having collaborated on multiple publications.

Kelley has contributed books published by the Society for Industrial and Applied Mathematics, notably Solving Nonlinear Equations with Iterative Methods: Solvers and Examples in Julia (2022).

Publication venues where Carl Tim Kelley has frequently published include arXiv (Cornell University), Nuclear Science and Engineering, SIAM Journal on Scientific Computing, SIAM Review, and Journal of Chemical Theory and Computation.

The scientist has been recognized with honors such as the SIAM Fellow title in 2009 for contributions to nonlinear equations, optimization, and flow in porous media, and was named a Fellow of the American Association for the Advancement of Science (AAAS) in 2018.

Best Publications

  • Iterative Methods for Linear and Nonlinear Equations

    Unknown

  • Solving nonlinear equations with Newton's method - fundamentals of algorithms

    Unknown

  • A Locally-Biased form of the DIRECT Algorithm

    J. M. Gablonsky;C. T. Kelley

  • Convergence Analysis of Pseudo-Transient Continuation

    C. T. Kelley;David E. Keyes

  • Detection and Remediation of Stagnation in the Nelder--Mead Algorithm Using a Sufficient Decrease Condition

    C. T. Kelley

  • AN IMPLICIT FILTERING ALGORITHM FOR OPTIMIZATION OF FUNCTIONS WITH MANY LOCAL MINIMA

    Paul C. Gilmore;Carl T. Kelley

  • Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines

    Michael D. Tocci;C.T. Kelley;Cass T. Miller

  • Convergence Analysis for Anderson Acceleration

    Alex Toth;C. T. Kelley

  • Robust solution of Richards' equation for nonuniform porous media

    Cass T. Miller;G. A. Williams;Carl Tim Kelley;Michael D. Tocci;Michael D. Tocci

  • GMREs and the minimal polynomial

    Stephen L. Campbell;Ilse C. F. Ipsen;Carl Tim Kelley;Carl D. Meyer

  • Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems

    Joseph F. Kanney;Cass T. Miller;C.T. Kelley

  • CONVERGENCE RATES FOR NEWTON'S METHOD AT SINGULAR POINTS*

    D. W. Decker;H. B. Keller;C. T. Kelley

  • Optimal design for problems involving flow and transport phenomena in saturated subsurface systems

    Alex S. Mayer;C.T. Kelley;Cass T. Miller

  • Pseudotransient Continuation and Differential-Algebraic Equations

    Todd S. Coffey;C. T. Kelley;David E. Keyes

  • Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems

    K.R. Fowler;J.P. Reese;C.E. Kees;J.E. Dennis

  • Newton’s Method at Singular Points. I

    D. W. Decker;C. T. Kelley

  • Algorithms for Noisy Problems in Gas Transmission Pipeline Optimization

    R. G. Carter;J. M. Gablonsky;A. Patrick;Carl Tim Kelley

  • Additive Scaling and the DIRECT Algorithm

    D. E. Finkel;C. T. Kelley

  • Implicit Filtering

    C. T. Kelley

  • Convergence analysis of the direct algorithm

    D. Finkel;Carl Tim Kelley

  • Developing portfolios of water supply transfers

    Gregory W. Characklis;Brian R. Kirsch;Jocelyn Ramsey;Karen Edna Michele Dillard

  • Numerical simulation of water resources problems: Models, methods, and trends

    Cass T. Miller;Clint N. Dawson;Matthew W. Farthing;Thomas Y. Hou

Frequent Co-Authors

Cass T. Miller
Cass T. Miller University of North Carolina at Chapel Hill
Ioannis G. Kevrekidis
Ioannis G. Kevrekidis Johns Hopkins University
Andrew G. Salinger
Andrew G. Salinger Sandia National Laboratories
Ilse C. F. Ipsen
Ilse C. F. Ipsen North Carolina State University
Xiaojun Chen
Xiaojun Chen Hong Kong Polytechnic University
Liqun Qi
Liqun Qi Hong Kong Polytechnic University
Stephen L. Campbell
Stephen L. Campbell North Carolina State University
Paul D. Franzon
Paul D. Franzon North Carolina State University
Richard B. Lehoucq
Richard B. Lehoucq Sandia National Laboratories
Jerry Bernholc
Jerry Bernholc North Carolina State University

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