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

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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