World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
7006
World Ranking
2177
National Ranking
919

Frédéric Gibou 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 Frédéric Gibou 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: 117 publications — 20th percentile

20% of scientists in this discipline score the same or lower.

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

Frédéric Gibou 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 Frédéric Gibou 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: 39 D-Index — 41st percentile

41% 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

  • 2006 - Fellow of Alfred P. Sloan Foundation

Overview

Frédéric Gibou is affiliated with the University of California, Santa Barbara in the United States. Their research primarily spans the field of Engineering, with a strong focus on Computational Mechanics and related subfields.

Their recent publications include studies published predominantly in the Journal of Computational Physics as well as other venues. Notable papers include:

  • "Solving inverse-PDE problems with physics-aware neural networks" (2021, Journal of Computational Physics)
  • "Solving elliptic interface problems with jump conditions on Cartesian grids" (2020, Journal of Computational Physics)
  • "xGFM: Recovering convergence of fluxes in the ghost fluid method" (2020, Journal of Computational Physics)
  • "A single parameter can predict surfactant impairment of superhydrophobic drag reduction" (2023, Proceedings of the National Academy of Sciences)
  • "Direct numerical simulation of incompressible flows on parallel Octree grids" (2021, Journal of Computational Physics)

The research topics they have covered reveal a broad engagement with numerical and computational techniques along with applications in surface science and fluid dynamics. Significant topics of their work include:

  • Model Reduction and Neural Networks
  • Lattice Boltzmann Simulation Studies
  • Surface Modification and Superhydrophobicity
  • Advanced Numerical Methods in Computational Mathematics
  • Computer Graphics and Visualization Techniques
  • Advanced Numerical Analysis Techniques
  • Fluid Dynamics and Heat Transfer

Frequent collaborators in their research are Fernando Temprano-Coleto, Julien R. Landel, Paolo Luzzatto-Fegiz, Luis Ángel Larios-Cárdenas, and Daniil Bochkov. These coauthors have contributed to multiple shared publications.

The main venues where their research is published reflect a strong presence in journals focused on computational and fluid mechanics, including:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • SSRN Electronic Journal
  • Journal of Fluid Mechanics
  • SIAM Journal on Scientific Computing

Their work covers subfields such as Computational Mechanics, Statistical and Nonlinear Physics, Surfaces, Coatings and Films, Materials Chemistry, and Computer Vision and Pattern Recognition, showcasing an interdisciplinary approach to engineering problems.

Frédéric Gibou was named a Fellow of the Alfred P. Sloan Foundation in 2006, recognizing contributions to their field.

Best Publications

  • Simulating water and smoke with an octree data structure

    Frank Losasso;Frédéric Gibou;Ron Fedkiw

  • A second-order-accurate symmetric discretization of the Poisson equation on irregular domains

    Frederic Gibou;Ronald P. Fedkiw;Li-Tien Cheng;Myungjoo Kang

  • A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change

    Frédéric Gibou;Liguo Chen;Duc Nguyen;Sanjoy Banerjee

  • A review of level-set methods and some recent applications

    Frédéric Gibou;Ronald Fedkiw;Stanley J. Osher

  • A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem

    Frédéric Gibou;Ronald Fedkiw

  • A second order accurate level set method on non-graded adaptive cartesian grids

    Chohong Min;Frédéric Gibou

  • A fast hybrid k-means level set algorithm for segmentation

    F. Gibou

  • A Level Set Approach for the Numerical Simulation of Dendritic Growth

    Frédéric Gibou;Ronald Fedkiw;Russel Caflisch;Stanley Osher

  • An efficient fluid-solid coupling algorithm for single-phase flows

    Yen Ting Ng;Chohong Min;Frédéric Gibou

  • Geometric integration over irregular domains with application to level-set methods

    Chohong Min;Frédéric Gibou

  • Using the Particle Level Set Method and a Second Order Accurate Pressure Boundary Condition for Free Surface Flows

    Doug Enright;Duc Nguyen;Frederic Gibou;Ron Fedkiw

  • Level-set method for island dynamics in epitaxial growth

    C. Ratsch;M. F. Gyure;R. E. Caflisch;F. Gibou

  • A parallel fast sweeping method for the Eikonal equation

    Miles Detrixhe;FréDéRic Gibou;Chohong Min

  • A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids

    Chohong Min;Frédéric Gibou

  • A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids

    Chohong Min;Frédéric Gibou;Hector D. Ceniceros

  • Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions

    Joseph Papac;Frédéric Gibou;Christian Ratsch

  • Second-Order Accurate Computation of Curvatures in a Level Set Framework Using Novel High-Order Reinitialization Schemes

    Antoine Chéné;Chohong Min;Frédéric Gibou

  • Enhanced charging kinetics of porous electrodes: surface conduction as a short-circuit mechanism.

    Mohammad Mirzadeh;Frederic Gibou;Todd M. Squires

  • A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids

    Han Chen;Chohong Min;Frédéric Gibou

  • A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive Quad/Octrees

    Arthur Guittet;Maxime Theillard;Frédéric Gibou

  • A Variational Framework for Multiregion Pairwise-Similarity-Based Image Segmentation

    L. Bertelli;B. Sumengen;B.S. Manjunath;F. Gibou

Frequent Co-Authors

Ronald Fedkiw
Ronald Fedkiw Stanford University
Glenn H. Fredrickson
Glenn H. Fredrickson University of California, Santa Barbara
Russel E. Caflisch
Russel E. Caflisch Courant Institute of Mathematical Sciences
B.S. Manjunath
B.S. Manjunath University of California, Santa Barbara
Jeff Moehlis
Jeff Moehlis University of California, Santa Barbara
Todd M. Squires
Todd M. Squires University of California, Santa Barbara
Stanley Osher
Stanley Osher University of California, Los Angeles
Sanjoy Banerjee
Sanjoy Banerjee City College of New York
Tresa M. Pollock
Tresa M. Pollock University of California, Santa Barbara
Shaowei Chen
Shaowei Chen University of California, Santa Cruz

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