World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
50
Citations
7396
World Ranking
1100
National Ranking
85

Engineering and Technology

D-Index
51
Citations
7580
World Ranking
3966
National Ranking
266

Paul Houston 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 Paul Houston 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: 133 publications — 28th percentile

28% of scientists in this discipline score the same or lower.

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

Paul Houston 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 Paul Houston 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: 50 D-Index — 71st percentile

71% 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

  • 2002 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Paul Houston is affiliated with the University of Nottingham in the United Kingdom. Their research primarily focuses on engineering, with a strong emphasis on computational mechanics and mathematical modeling.

The scientist's work spans key fields, including:

  • Engineering
  • Computational Mechanics
  • Computational Theory and Mathematics
  • Numerical Analysis
  • Mechanics of Materials
  • Radiology, Nuclear Medicine and Imaging

The main topics addressed in their publications include:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Differential Equations and Numerical Methods
  • Electromagnetic Simulation and Numerical Methods
  • MRI in cancer diagnosis
  • Fetal and Pediatric Neurological Disorders

Recent papers by Paul Houston cover several aspects of numerical methods and computational modeling, listed here with the year and publication venue:

  • Eliminating Gibbs phenomena: A non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation (2020, arXiv [Cornell University])
  • Gibbs phenomena for Lq-best approximation in finite element spaces (2021, ESAIM. Mathematical modelling and numerical analysis)
  • Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport (2024, Journal of Scientific Computing)
  • Iterative solution methods for high-order/hp-DGFEM approximation of the linear Boltzmann transport equation (2024, Computers & Mathematics with Applications)

Frequent publication venues include:

  • arXiv (Cornell University)
  • Computers & Mathematics with Applications
  • ESAIM. Mathematical modelling and numerical analysis
  • Journal of Scientific Computing
  • Magnetic Resonance in Medicine

Collaborators frequently associated with Paul Houston's work are:

  • M.E. Hubbard
  • Thomas J. Radley
  • Kristoffer G. van der Zee
  • Thomas P. Wihler
  • Sarah Roggendorf

Paul Houston was awarded the title of Fellow of the American Association for the Advancement of Science (AAAS) in 2002.

Best Publications

  • Discontinuous hp -Finite Element Methods for Advection-Diffusion-Reaction Problems

    Paul Houston;Christoph Schwab;Endre Süli

  • Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations

    Ralf Hartmann;Paul Houston

  • hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

    Andrea Cangiani;Emmanuil H. Georgoulis;Paul Houston

  • A note on the design of hp-adaptive finite element methods for elliptic partial differential equations

    Paul Houston;Endre Süli

  • Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws

    Ralf Hartmann;Paul Houston

  • Interior penalty method for the indefinite time-harmonic Maxwell equations

    Paul Houston;Ilaria Perugia;Anna Schneebeli;Dominik Schötzau

  • ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS

    Paul Houston;Dominik Schötzau;Thomas P. Wihler

  • Stabilized hp -Finite Element Methods for First-Order Hyperbolic Problems

    Paul Houston;Christoph Schwab;Endre Süli

  • hp -Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems

    Paul Houston;Endre Süli

  • An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations

    Ralf Hartmann;Paul Houston

  • Mixed Discontinuous Galerkin Approximation of the Maxwell Operator

    Paul Houston;Ilaria Perugia;Dominik Schotzau

  • Symmetric Interior Penalty DG Methods for the Compressible Navier--Stokes Equations I: Method Formulation

    Ralf Hartmann;Paul Houston

  • A posteriori error analysis for stabilised finite element approximations of transport problems

    Paul Houston;Rolf Rannacher;Endre Süli

  • A posteriori error analysis for numerical approximations of Friedrichs systems

    Paul Houston;John A. Mackenzie;Endre Süli;Gerald Warnecke

  • Adaptive Finite Element Approximation of Hyperbolic Problems

    Endre Süli;Paul Houston

  • A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods

    Paola F. Antonietti;Paul Houston

  • $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains

    Paola F. Antonietti;Stefano Giani;Paul Houston

  • Discontinuous Galerkin methods for the biharmonic problem

    Emmanuil H. Georgoulis;Paul Houston

  • hp-Version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form.

    Kathryn Harriman;P. Houston;Bill Senior;Endre Suli

  • Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation

    Ralf Hartmann;Paul Houston

  • hp-DGFEM for partial differential equations with nonnegative characteristic form

    Endre Süli;Christoph Schwab;Paul Houston

  • Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case

    Paul Houston;Ilaria Perugia;Anna Schneebeli;Dominik Schötzau

Frequent Co-Authors

Endre Süli
Endre Süli University of Oxford
Ilaria Perugia
Ilaria Perugia University of Vienna
Dominik Schötzau
Dominik Schötzau University of British Columbia
Philip K. Maini
Philip K. Maini University of Oxford
Andrew G. Salinger
Andrew G. Salinger Sandia National Laboratories
Reinhard Schneider
Reinhard Schneider University of Luxembourg
Rudi Balling
Rudi Balling University of Bonn
Barbara E. Bierer
Barbara E. Bierer Brigham and Women's Hospital
Pericle Zanchetta
Pericle Zanchetta University of Nottingham

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