World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
11489
World Ranking
1552
National Ranking
670

Engineering and Technology

D-Index
44
Citations
11439
World Ranking
5694
National Ranking
1589

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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