World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
52
Citations
11192
World Ranking
957
National Ranking
48

Guy Barles 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 Guy Barles 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: 126 publications — 24th percentile

24% of scientists in this discipline score the same or lower.

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

Guy Barles 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 Guy Barles 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: 52 D-Index — 74th percentile

74% of scientists in this discipline score the same or lower.

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

Overview

Guy Barles is affiliated with François Rabelais University in France and has made contributions primarily in the areas of mathematics and computer science. Their research focuses on several specialized subfields, including applied mathematics, numerical analysis, computational theory and mathematics, modeling and simulation, and statistical and nonlinear physics.

The scientist's work spans multiple topics related to differential equations and mathematical modeling. Key areas of research include nonlinear partial differential equations, mathematical biology with specific attention to tumor growth, differential equations and numerical methods, advanced mathematical modeling in engineering, stochastic processes and financial applications, differential equations and boundary problems, as well as numerical methods for differential equations.

Frequent coauthors collaborating with Guy Barles include Emmanuel Chasseigne, Alexander Quaas, Olivier Ley, Erwin Topp, and Andrei Rodríguez-Paredes.

Publications by Guy Barles appear predominantly in the following venues:

  • arXiv (Cornell University)
  • Communications in Partial Differential Equations
  • Partial Differential Equations and Applications

Significant recent papers authored by Guy Barles are:

  • Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN, 2020, Communications in Partial Differential Equations
  • Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein's method, 2021, Partial Differential Equations and Applications
  • Some Comparison Results for First-Order Hamilton-Jacobi Equations and Second-Order Fully Nonlinear Parabolic Equations with Ventcell Boundary Conditions, 2024, arXiv (Cornell University)
  • Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions, 2024, arXiv (Cornell University)
  • Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi Equations in ℝN, 2020, arXiv (Cornell University)

Guy Barles has contributed to book publications, including a title published by Progress in nonlinear differential equations and their applications:

  • On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities, 2023

Best Publications

  • Convergence of approximation schemes for fully nonlinear second order equations

    G. Barles;P.E. Souganidis

  • Backward stochastic differential equations and integral-partial differential equations

    Guy Barles;Rainer Buckdahn;Etienne Pardoux

  • Front propagation and phase field theory

    G. Barles;H. M. Soner;P. E. Sougandis

  • Option pricing with transaction costs and a nonlinear Black-Scholes equation

    Guy Barles;Halil Mete Soner

  • Second-order elliptic integro-differential equations: viscosity solutions' theory revisited

    Guy Barles;Cyril Imbert

  • Exit Time Problems in Optimal Control and Vanishing Viscosity Method

    Guy Barles;Benoît Perthame

  • Discontinuous solutions of deterministic optimal stopping time problems

    Unknown

  • EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM*

    G. Barles;Jérôme Busca

  • A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature

    Guy Barles;Christine Georgelin

  • A New Approach to Front Propagation Problems: Theory and Applications

    Guy Barles;Panagiotis E. Souganidis

  • On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations

    Guy Barles;Espen Robstad Jakobsen

  • On the large time behavior of solutions of Hamilton—Jacobi equations

    G. Barles;Panagiotis E. Souganidis

  • On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations

    Guy Barles;Emmanuel Chasseigne;Cyril Imbert

  • Dirac concentrations in Lotka-Volterra parabolic PDEs

    Benoît Perthame;Guy Barles

  • SPACE-TIME PERIODIC SOLUTIONS AND LONG-TIME BEHAVIOR OF SOLUTIONS TO QUASI-LINEAR PARABOLIC EQUATIONS ∗

    Guy Barles;Panagiotis E. Souganidis

  • Concentration in Lotka-Volterra Parabolic or Integral Equations: A General Convergence Result

    Guy Barles;Sepideh Mirrahimi;Benoît Perthame

  • CRITICAL STOCK PRICE NEAR EXPIRATION

    Guy Barles;Julien Burdeau;Marc Romano;Nicolas Samsoen

  • Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations

    Guy Barles;Espen R. Jakobsen

  • CONVERGENCE OF NUMERICAL SCHEMES FOR PARABOLIC EQUATIONS ARISING IN FINANCE THEORY

    Unknown

  • Numerical Methods in Finance: Convergence of Numerical Schemes for Degenerate Parabolic Equations Arising in Finance Theory

    Unknown

  • The Dirichlet Problem for Semilinear Second-Order Degenerate Elliptic Equations and Applications to Stochastic Exit Time Control Problems

    G. Barles;J. Burdeau

  • Wavefront propagation for reaction-diffusion systems of PDE

    G. Barles;L. C. Evans;P. E. Souganidis

  • Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications

    Guy Barles

Frequent Co-Authors

Panagiotis E. Souganidis
Panagiotis E. Souganidis University of Chicago
Hitoshi Ishii
Hitoshi Ishii Waseda University
Cyril Imbert
Cyril Imbert École Normale Supérieure
Benoît Perthame
Benoît Perthame Sorbonne University
Jérôme Casas
Jérôme Casas François Rabelais University
Pierre Cardaliaguet
Pierre Cardaliaguet Paris Dauphine University
Alessio Porretta
Alessio Porretta University of Rome Tor Vergata
Jean-Michel Roquejoffre
Jean-Michel Roquejoffre Toulouse Mathematics Institute
Emmanuel Trélat
Emmanuel Trélat Sorbonne University
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute

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