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D-Index & Metrics

Mathematics

D-Index
48
Citations
20819
World Ranking
1173
National Ranking
524

Overview

Todd Dupont is affiliated with the University of Chicago in the United States. Their research primarily spans the fields of Engineering and Physics and Astronomy, with a focused interest in Computational Mechanics, Statistical and Nonlinear Physics, and Mechanics of Materials.

Their recent scholarly contributions emphasize advanced computational techniques and numerical methods within engineering disciplines. Notable recent papers include:

  • "Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated" (2024), published in the Journal of Numerical Mathematics

Todd Dupont's frequent coauthors reflect collaborations in related mathematical and computational fields. These coauthors are:

  • Johnny Guzmán
  • L. Ridgway Scott

Their publication record is concentrated in venues that focus on numerical mathematics and computational methods. The primary publication venue listed is:

  • Journal of Numerical Mathematics

The main research topics covered by their work include:

  • Advanced Numerical Methods in Computational Mathematics
  • Model Reduction and Neural Networks
  • Numerical methods in engineering

Todd Dupont's research explores numerical analysis techniques aimed at improving accuracy and efficiency in computational models. Their contributions to model reduction and neural networks indicate an engagement with contemporary approaches in computational mechanics and applied mathematics.

Best Publications

  • Capillary flow as the cause of ring stains from dried liquid drops

    Robert D. Deegan;Olgica Bakajin;Todd F. Dupont;Greb Huber

  • Contact line deposits in an evaporating drop

    Robert D. Deegan;Olgica Bakajin;Todd F. Dupont;Greg Huber

  • Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods

    Jim Douglas;Todd Dupont

  • Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation

    Jens Eggers;Todd F. Dupont

  • An optimal order process for solving finite element equations

    Randolph E. Bank;Todd Dupont

  • Polynomial approximation of functions in Sobolev spaces

    Todd Dupont;Ridgway Scott

  • Galerkin Methods for Parabolic Equations

    Jim Douglas;Todd Dupont

  • The hierarchical basis multigrid method

    Randolph E. Bank;Todd F. Dupont;Harry Yserentant

  • An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations

    Todd Dupont;Richard P. Kendall;H. H. Rachford

  • $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations

    Todd Dupont

  • A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation

    Clint Dawson;Qiang Du;Todd Dupont

  • Sonoluminescing Air Bubbles Rectify Argon

    Detlef Lohse;Michael P. Brenner;Todd F. Dupont;Sascha Hilgenfeldt

  • Bubble shape oscillations and the onset of sonoluminescence

    Michael P. Brenner;Detlef Lohse;T. F. Dupont

  • On Validating an Astrophysical Simulation Code

    A. C. Calder;B. Fryxell;T. Plewa;T. Plewa;R. Rosner

  • ALTERNATING-DIRECTION GALERKIN METHODS ON RECTANGLES

    Jim Douglas;Todd Dupont

  • Collocation Methods for Parabolic Equations in a Single Space Variable

    Jim Douglas;Todd Dupont

  • Droplet breakup in a model of the Hele-Shaw cell.

    Peter Constantin;Todd F. Dupont;Raymond E. Goldstein;Leo P. Kadanoff

  • Optimal _{∞} error estimates for Galerkin approximations to solutions of two-point boundary value problems

    Jim Douglas;Todd Dupont;Lars Wahlbin

  • Singularities and similarities in interface flows

    Andrea L. Bertozzi;Michael P. Brenner;Todd F. Dupont;Leo P. Kadanoff

  • The stability inLq of theL2-projection into finite element function spaces

    Jim Douglas;Todd Dupont;Lars Wahlbin

Frequent Co-Authors

Mary F. Wheeler
Mary F. Wheeler The University of Texas at Austin
Michael P. Brenner
Michael P. Brenner University of Michigan–Ann Arbor
Detlef Lohse
Detlef Lohse University of Twente
Sidney R. Nagel
Sidney R. Nagel University of Chicago
Randolph E. Bank
Randolph E. Bank University of California, San Diego
James Serrin
James Serrin University of Minnesota
Bruce Remington
Bruce Remington Lawrence Livermore National Laboratory
Peter Constantin
Peter Constantin Princeton University
Andrea L. Bertozzi
Andrea L. Bertozzi University of California, Los Angeles
Robert Rosner
Robert Rosner University of Chicago

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