World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
11804
World Ranking
1433
National Ranking
636

Russel E. Caflisch publications per year

1977: 1 publications 1978: 1 publications 1979: 2 publications 1980: 4 publications 1981: 3 publications 1982: 1 publications 1983: 2 publications 1984: 2 publications 1985: 7 publications 1986: 5 publications 1987: 4 publications 1988: 5 publications 1989: 7 publications 1990: 3 publications 1991: 2 publications 1992: 2 publications 1993: 9 publications 1994: 6 publications 1995: 3 publications 1996: 3 publications 1997: 5 publications 1998: 9 publications 1999: 6 publications 2000: 2 publications 2001: 9 publications 2002: 8 publications 2003: 7 publications 2004: 8 publications 2005: 6 publications 2006: 12 publications 2007: 7 publications 2008: 14 publications 2009: 8 publications 2010: 6 publications 2011: 6 publications 2012: 3 publications 2013: 4 publications 2014: 7 publications 2015: 9 publications 2016: 5 publications 2017: 4 publications 2018: 2 publications 2019: 2 publications 2020: 2 publications 2021: 2 publications 2022: 3 publications 2023: 1 publications 2024: 3 publications
1977 2024

232 publications in total across all disciplines

Russel E. Caflisch 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 Russel E. Caflisch 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: 198 publications — 61st percentile

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

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

Russel E. Caflisch 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 Russel E. Caflisch 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: 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.

Research.com Recognitions

  • 2019 - Member of the National Academy of Sciences
  • 2013 - Fellow of the American Mathematical Society
  • 2012 - Fellow of the American Academy of Arts and Sciences
  • 2009 - SIAM Fellow For advances in physical applied mathematics and in mathematics applied to physical systems.
  • 1985 - Fellow of Alfred P. Sloan Foundation

Overview

Russel E. Caflisch is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research primarily spans the fields of mathematics and engineering, with a focus on applied mathematics, materials chemistry, and computational mechanics. The work also touches on statistical and nonlinear physics as well as statistics and probability.

The scientist's main topics of investigation include gas dynamics and kinetic theory, fluid dynamics and turbulent flows, and Markov chains and Monte Carlo methods. Additional topics covered in their work are advanced thermodynamics and statistical mechanics, nanopore and nanochannel transport studies, catalytic processes in materials science, and model reduction and neural networks.

Russel E. Caflisch has contributed research papers published in several reputable venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Journal of Fluid Mechanics
  • Communications on Pure and Applied Mathematics
  • Journal of Scientific Computing

Notable recent papers include:

  • Adjoint DSMC for nonlinear Boltzmann equation constrained optimization, 2021, Journal of Computational Physics
  • Vortex Layers of Small Thickness, 2020, Communications on Pure and Applied Mathematics
  • Adjoint DSMC for nonlinear spatially-homogeneous Boltzmann equation with a general collision model, 2023, Journal of Computational Physics
  • Complex singularity analysis for vortex layer flows, 2021, Journal of Fluid Mechanics
  • Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws, 2024, Journal of Scientific Computing

Frequent co-authors collaborating with Russel E. Caflisch include:

  • Yunan Yang
  • Denis A. Silantyev
  • M. Sammartino
  • Giulia Bertaglia
  • Lorenzo Pareschi

The scientist has been recognized with multiple honors, including:

  • Member of the National Academy of Sciences (2019)
  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Academy of Arts and Sciences (2012)
  • SIAM Fellow (2009), recognized for advances in physical applied mathematics and in mathematics applied to physical systems
  • Fellow of Alfred P. Sloan Foundation (1985)

Best Publications

  • Monte Carlo and quasi-Monte Carlo methods

    Russel E. Caflisch

  • Quasi-Monte Carlo integration

    William J. Morokoff;Russel E. Caflisch

  • Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension

    Russel Caflisch;William Morokoff;Art Owen

  • Quasi-random sequences and their discrepancies

    William J. Morokoff;Russel E. Caflisch

  • Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.I. Existence for Euler and Prandtl Equations

    Marco Sammartino;Russel E. Caflisch

  • Effective equations for wave propagation in bubbly liquids

    Russel E. Caflisch;Michael J. Miksis;George C. Papanicolaou;Lu Ting

  • The fluid dynamic limit of the nonlinear boltzmann equation

    Russel E. Caflisch

  • Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space. II. Construction of the Navier-Stokes Solution

    Marco Sammartino;Russel E. Caflisch

  • Variance in the sedimentation speed of a suspension

    Russel E. Caflisch;Jonathan H. C. Luke

  • Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD

    Russel E. Caflisch;Isaac Klapper;Gregory Steele

  • The Boltzmann equation with a soft potential. I. Linear, spatially-homogeneous

    Russel E. Caflisch

  • The milne and kramers problems for the boltzmann equation of a hard sphere gas

    Claude Bardos;Russel E. Caflisch;Basil Nicolaenko

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

    Frédéric Gibou;Ronald Fedkiw;Russel Caflisch;Stanley Osher

  • Smoothness and dimension reduction in Quasi-Monte Carlo methods

    B. Moskowitz;R. E. Caflisch

  • Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation

    Russel E. Caflisch;Shi Jin;Giovanni Russo

  • Sparse dynamics for partial differential equations.

    Hayden Schaeffer;Russel Caflisch;Cory D. Hauck;Stanley Osher

  • Compressed modes for variational problems in mathematics and physics.

    Vidvuds Ozoliņš;Rongjie Lai;Russel Caflisch;Stanley Osher

  • Global Existence, Singular Solutions, and Ill-Posedness for the Muskat Problem

    Michael Siegel;Russel E. Caflisch;S. A. M. Howison

  • Singular solutions and ill-posedness for the evolution of vortex sheets

    Russel E. Caflisch;Oscar F. Orellana

  • Shock profile solutions of the Boltzmann equation

    Russel E. Caflisch;Basil Nicolaenko

Frequent Co-Authors

Stanley Osher
Stanley Osher University of California, Los Angeles
George Papanicolaou
George Papanicolaou Stanford University
Frédéric Gibou
Frédéric Gibou University of California, Santa Barbara
Claude Bardos
Claude Bardos Université Paris Cité
Lorenzo Pareschi
Lorenzo Pareschi Heriot-Watt University
Thomas Y. Hou
Thomas Y. Hou California Institute of Technology
John Lowengrub
John Lowengrub University of California, Irvine
Ronald Fedkiw
Ronald Fedkiw Stanford University
Joseph B. Keller
Joseph B. Keller Stanford University
Michael J. Miksis
Michael J. Miksis Northwestern University

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