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Raphaèle Herbin

Raphaèle Herbin

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 45 1452 1248 83 77 184 9823
Engineering and Technology 45 5388 5192 110 108 182 9761

Raphaèle Herbin publications per year

The chart shows the history of publications by Raphaèle Herbin between 1988 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Raphaèle Herbin published across 38 years, from 1988 to 2025, averaging 5.2 papers a year. Output peaked at 18 publications in 2018. 9 of the 197 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1988 to 2025. Vertical axis: number of publications, 0 to 18. Peak 18 publications in 2018. 1988: 2 publications 1989: 0 publications 1990: 0 publications 1991: 1 publication 1992: 0 publications 1993: 2 publications 1994: 3 publications 1995: 3 publications 1996: 1 publication 1997: 2 publications 1998: 3 publications 1999: 3 publications 2000: 6 publications 2001: 4 publications 2002: 3 publications 2003: 4 publications 2004: 5 publications 2005: 8 publications 2006: 5 publications 2007: 11 publications 2008: 5 publications 2009: 9 publications 2010: 10 publications 2011: 16 publications 2012: 10 publications 2013: 8 publications 2014: 4 publications 2015: 4 publications 2016: 4 publications 2017: 10 publications 2018: 18 publications 2019: 2 publications 2020: 7 publications 2021: 12 publications 2022: 2 publications 2023: 1 publication 2024: 3 publications 2025: 6 publications
1988 2025

197 publications in total across all disciplines

View publications per year as a table
Raphaèle Herbin: publications per year, 1988 to 2025
Year Publications
1988 2
1989 0
1990 0
1991 1
1992 0
1993 2
1994 3
1995 3
1996 1
1997 2
1998 3
1999 3
2000 6
2001 4
2002 3
2003 4
2004 5
2005 8
2006 5
2007 11
2008 5
2009 9
2010 10
2011 16
2012 10
2013 8
2014 4
2015 4
2016 4
2017 10
2018 18
2019 2
2020 7
2021 12
2022 2
2023 1
2024 3
2025 6
Total 197
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Raphaèle Herbin 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 Raphaèle Herbin sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 182–186 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 184 publications — 55th percentile

55% of scientists in this discipline score the same or lower.

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78 184
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Raphaèle Herbin 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 Raphaèle Herbin sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 45 D-Index, is where this scientist sits. 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: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112 45
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
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Overview

Raphaèle Herbin is affiliated with Aix-Marseille University in France. Their research spans the fields of Engineering and Mathematics, with notable emphasis on Computational Mechanics and Applied Mathematics. This scientist has contributed extensively to Computational Fluid Dynamics and Aerodynamics, Advanced Numerical Methods in Computational Mathematics, and Gas Dynamics and Kinetic Theory, among other topics.

Herbin's recent scholarly work demonstrates a focus on numerical schemes and finite volume methods applied to fluid dynamics and compressible flow problems. Notable publications include:

  • Low Mach number limit of some staggered schemes for compressible barotropic flows (2020), Mathematics of Computation
  • Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations (2020), Mathematics of Computation
  • Lax-Wendroff consistency of finite volume schemes for systems of nonlinear conservation laws: extension to staggered schemes (2021), SeMA Journal

Alongside these, other relevant works from collaborators and coauthors include:

  • A Staggered Scheme for the Compressible Euler Equations on General 3D Meshes (2024), Journal of Scientific Computing
  • Optimal error bounds for the two-point flux approximation finite volume scheme (2024), Mathematics of Computation

Frequent collaborators in Herbin's research encompass Thierry Gallouët, J.-C. Latché, Jean-Claude Latché, Youssouf Nasseri, and Aubin Brunel. This reflects a consistent team effort in advancing numerical methods for fluid dynamics and computational mathematics.

Herbin's work appears regularly in several scientific publication venues, with a concentration of papers in:

  • arXiv (Cornell University)
  • Mathematics of Computation
  • SeMA Journal
  • International Journal for Numerical Methods in Fluids
  • Journal of Scientific Computing

The scientist is also preparing a book with Springer Nature titled Weak Solutions of Partial Differential Equations, expected in 2025.

Their scholarly contributions center primarily on computational methods applied to partial differential equations arising in fluid dynamics, gas dynamics, and the numerical approximation of conservation laws. Main topics covered include:

  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Numerical Methods in Computational Mathematics
  • Gas Dynamics and Kinetic Theory
  • Navier-Stokes equation solutions
  • Combustion and Detonation Processes
  • Differential Equations and Numerical Methods
  • Fluid Dynamics and Turbulent Flows

Best Publications

  • Finite Volume Methods

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin

  • Three-dimensional numerical simulation for various geometries of solid oxide fuel cells

    J.R. Ferguson;J.M. Fiard;R. Herbin

  • Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces

    Robert Eymard;Thierry Gallouët;Raphaele Herbin

  • 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

    Robert Eymard;Gérard Henry;Raphaèle Herbin;Florence Hubert

  • A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS

    Jerome Droniou;Robert Eymard;Thierry Gallouet;Raphaele Herbin

  • Convergence of a finite volume scheme for nonlinear degenerate parabolic equations

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin;Anthony Michel

  • Small-stencil 3D schemes for diffusive flows in porous media

    Robert Eymard;Cindy Guichard;Raphaele Herbin

  • Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes

    R Eymard;T Gallouët;M Ghilani;R Herbin

  • Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

    Raphaele Herbin;Florence Hubert

  • An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh

    Raphaèle Herbin

  • A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin

  • GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS

    Jerome Droniou;Robert Eymard;Thierry Gallouet;Raphaele Herbin

  • Mathematical study of a petroleum-engineering scheme

    Robert Eymard;Raphaèle Herbin;Anthony Michel

  • The Gradient Discretisation Method

    Jérôme Droniou;Robert Eymard;Thierry Gallouët;Cindy Guichard

  • Error Estimates on the Approximate Finite Volume Solution of Convection Diffusion Equations with General Boundary Conditions

    Thierry Gallouët;Raphaèle Herbin;Marie Hélène Vignal

  • AN UNCONDITIONALLY STABLE PRESSURE CORRECTION SCHEME FOR THE COMPRESSIBLE BAROTROPIC NAVIER-STOKES EQUATIONS

    Thierry Gallouët;Laura Gastaldo;Raphaele Herbin;Jean-Claude Latché

  • EXISTENCE AND UNIQUENESS OF THE ENTROPY SOLUTION TO A NONLINEAR HYPERBOLIC EQUATION

    R.Eymard;T.Gallouёt;R.Herbin

  • A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin

  • Vertex-centred discretization of multiphase compositional Darcy flows on general meshes

    Robert Eymard;Cindy Guichard;Raphaele Herbin;Roland Masson

  • Finite volume approximation of elliptic problems and convergence of an approximate gradient

    R. Eymard;T. Gallouët;R. Herbin

  • Finite volume method

    Robert Eymard;Herbin;Thierry Gallouët

  • Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces

    Robert Eymard;Thierry Gallouët;Raphaele Herbin

Frequent Co-Authors

Thierry Gallouët
Thierry Gallouët Aix-Marseille University
Robert Eymard
Robert Eymard University of Paris-Est
Jérôme Droniou
Jérôme Droniou University of Montpellier
Neil R. Baker
Neil R. Baker University of Essex
Tracy Lawson
Tracy Lawson University of Illinois at Urbana-Champaign
Gabriel Cornic
Gabriel Cornic University of Paris-Saclay
Ludovic Leclercq
Ludovic Leclercq Université Gustave Eiffel
Gianmarco Manzini
Gianmarco Manzini Los Alamos National Laboratory

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