World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
61
Citations
17836
World Ranking
508
National Ranking
267

Thomas Y. Hou 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 Thomas Y. Hou 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: 82 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: 211 publications — 66th percentile

66% of scientists in this discipline score the same or lower.

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

Thomas Y. Hou 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 Thomas Y. Hou 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: 137 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: 61 D-Index — 86th percentile

86% 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

  • 2013 - Fellow of the American Mathematical Society
  • 2011 - Fellow of the American Academy of Arts and Sciences
  • 2009 - SIAM Fellow For contributions to fluid mechanics and multiscale analysis.
  • 2005 - THE J. TINSLEY ODEN MEDAL For his outstanding contributions in developing innovative multiscale analysis and computational methods, and their applications to flows in porous media and turbulence.
  • 1990 - Fellow of Alfred P. Sloan Foundation

Overview

Thomas Y. Hou is affiliated with the California Institute of Technology in the United States. Their research spans several main fields, including Engineering, Mathematics, and Computer Science. Within these fields, their subfields of study focus on Computational Mechanics, Applied Mathematics, Mechanics of Materials, Computational Theory and Mathematics, and Mathematical Physics.

The scientist's work covers multiple key topics, notably Navier-Stokes equation solutions, Computational Fluid Dynamics and Aerodynamics, Advanced Mathematical Modeling in Engineering, Composite Material Mechanics, Advanced Numerical Methods in Computational Mathematics, Advanced Mathematical Physics Problems, and Fluid Dynamics and Turbulent Flows.

Thomas Y. Hou has published extensively in various venues, including:

  • arXiv (Cornell University)
  • Multiscale Modeling and Simulation
  • Foundations of Computational Mathematics
  • Communications in Mathematical Physics
  • IEEE Transactions on Dependable and Secure Computing

They have authored and co-authored multiple papers, including:

  • "NPMML: A Framework for Non-interactive Privacy-preserving Multi-party Machine Learning," 2020, IEEE Transactions on Dependable and Secure Computing
  • "Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations," 2022, Annals of PDE
  • "Potentially Singular Behavior of the 3D Navier-Stokes Equations," 2022, Foundations of Computational Mathematics
  • "Potential Singularity of the 3D Euler Equations in the Interior Domain," 2022, Foundations of Computational Mathematics
  • "Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization," 2020, arXiv (Cornell University)

Frequent collaborators include Eric T. Chung, Yalchin Efendiev, Jiajie Chen, Yifan Chen, and Yixuan Wang.

Thomas Y. Hou is also an author of a book titled "Multiscale Model Reduction," published by Springer Nature in 2023.

Over the course of their career, the scientist has received several distinctions, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Academy of Arts and Sciences (2011)
  • SIAM Fellow (2009), for contributions to fluid mechanics and multiscale analysis
  • THE J. TINSLEY ODEN MEDAL (2005), recognizing work in multiscale analysis and computational methods applied to flows in porous media and turbulence
  • Fellow of Alfred P. Sloan Foundation (1990)

Best Publications

  • A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media

    Thomas Y. Hou;Xiao-Hui Wu

  • A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows

    Y.C. Chang;T.Y. Hou;B. Merriman;S. Osher

  • Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients

    Thomas Y. Hou;Xiao-Hui Wu;Zhiqiang Cai

  • Removing the stiffness from interfacial flows with surface tension

    Thomas Y. Hou;John S. Lowengrub;Michael J. Shelley

  • Generalized multiscale finite element methods (GMsFEM)

    Yalchin Efendiev;Yalchin Efendiev;Juan Galvis;Juan Galvis;Thomas Y. Hou

  • A mixed multiscale finite element method for elliptic problems with oscillating coefficients

    Zhiming Chen;Thomas Y. Hou

  • GLOBAL WELL-POSEDNESS OF THE VISCOUS BOUSSINESQ EQUATIONS

    Thomas Y. Hou;Congming Li

  • Convergence of a Nonconforming Multiscale Finite Element Method

    Yalchin R. Efendiev;Thomas Y. Hou;Xiao-Hui Wu

  • Why nonconservative schemes converge to wrong solutions: error analysis

    Thomas Y. Hou;Philippe G. Le Floch

  • A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow

    Thomas Y. Hou;Zhilin Li;Stanley Osher;Hongkai Zhao

  • Analysis of upscaling absolute permeability

    X.H. Wu;Y. Efendiev;Thomas Y. Hou

  • Computing nearly singular solutions using pseudo-spectral methods

    Thomas Y. Hou;Thomas Y. Hou;Ruo Li

  • Accurate multiscale finite element methods for two-phase flow simulations

    Y. Efendiev;V. Ginting;T. Hou;R. Ewing

  • Multiscale Finite Element Methods for Nonlinear Problems and Their Applications

    Y. Efendiev;T. Y. Hou;V. Ginting

  • Boundary integral methods for multicomponent fluids and multiphase materials

    T. Y. Hou;J. S. Lowengrub;M. J. Shelley

  • Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics

    Thomas Y. Hou;Wuan Luo;Boris Rozovskii;Hao-Min Zhou

  • A new multiscale finite element method for high-contrast elliptic interface problems

    C.-C. Chu;C.-C. Chu;Ivan G. Graham;T.-Y. Hou

  • Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models

    Y. Efendiev;T. Hou;W. Luo

  • An efficient dynamically adaptive mesh for potentially singular solutions

    Hector D. Ceniceros;Thomas Y. Hou

  • Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods

    Eric Chung;Yalchin Efendiev;Thomas Y. Hou

  • The long-time motion of vortex sheets with surface tension

    T. Y. Hou;J. S. Lowengrub;M. J. Shelley

Frequent Co-Authors

Yalchin Efendiev
Yalchin Efendiev Texas A&M University
John Lowengrub
John Lowengrub University of California, Irvine
Congming Li
Congming Li Shanghai Jiao Tong University
Eitan Tadmor
Eitan Tadmor University of Maryland, College Park
Ivan G. Graham
Ivan G. Graham University of Bath
Hamdi A. Tchelepi
Hamdi A. Tchelepi Stanford University
Vladimír Šverák
Vladimír Šverák University of Minnesota
Louis J. Durlofsky
Louis J. Durlofsky Stanford University
Yuequan Bao
Yuequan Bao Harbin Institute of Technology
Russel E. Caflisch
Russel E. Caflisch Courant Institute of Mathematical Sciences

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