World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
59
Citations
30582
World Ranking
571
National Ranking
295

Phillip Colella 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 Phillip Colella 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: 221 publications — 69th percentile

69% of scientists in this discipline score the same or lower.

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

Phillip Colella 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 Phillip Colella 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: 59 D-Index — 84th percentile

84% 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

  • 2009 - SIAM Fellow For contributions to adaptive and numerical methods for partial differential equations in science and engineering.
  • 2004 - Member of the National Academy of Sciences
  • 2002 - SIAM/ACM Prize in Computational Science and Engineering For the development of mathematical methods and computer science tools for science and engineering, including adaptive mesh refinement software, and for their application to the solution of a wide variety of physical problems in fluid dynamics, shock wave theory, combustion and astrophysics.

Overview

Phillip Colella is affiliated with the Lawrence Berkeley National Laboratory in the United States. Their research spans multiple fields within Computer Science and Physics and Astronomy, with a strong focus on computational methods applied to physical sciences.

The primary fields of study for Phillip Colella include:

  • Computer Science
  • Physics and Astronomy

Their subfields of study further specify work in:

  • Astronomy and Astrophysics
  • Computational Theory and Mathematics
  • Computational Mechanics
  • Molecular Biology
  • Numerical Analysis

Main topics covered in their research consist of:

  • Solar and Space Plasma Dynamics
  • Ionosphere and magnetosphere dynamics
  • Geomagnetism and Paleomagnetism Studies
  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Numerical Methods
  • Mathematical Biology Tumor Growth
  • Fluid Dynamics and Heat Transfer

Phillip Colella has contributed to a number of publications, appearing in venues such as:

  • Journal of Physics Conference Series
  • UNC Libraries
  • AIAA SCITECH 2022 Forum
  • arXiv (Cornell University)

Recent publications include:

  • Space Weather with Quantified Uncertainties: Improving Space Weather Predictions with Data-Driven Models of the Solar Atmosphere and Inner Heliosphere (2024, Journal of Physics Conference Series)
  • Numerical computation of diffusion on a surface (2020, UNC Libraries)
  • A Multifluid Interface Tracking Algorithm Using the Signed Distance Function (2022, AIAA SCITECH 2022 Forum)
  • ProtoX: A First Look (2023, arXiv (Cornell University))
  • HelioCubed: A High Order Inner Heliosphere Simulation Code with a Mapped Cubed Sphere Grid and Adaptive Mesh Refinement (2025, Journal of Physics Conference Series)

Frequent co-authors working with Phillip Colella include:

  • N. V. Pogorelov
  • Talwinder Singh
  • Brian Van Straalen
  • C. N. Arge
  • Ronald M. Caplan

Phillip Colella has received several awards throughout their career. They were named a SIAM Fellow in 2009 for contributions to adaptive and numerical methods for partial differential equations in science and engineering.

In 2004, they became a member of the National Academy of Sciences.

Phillip Colella was also awarded the SIAM/ACM Prize in Computational Science and Engineering in 2002 for the development of mathematical methods and computer science tools applied to science and engineering problems, particularly in adaptive mesh refinement and its application to fluid dynamics, shock wave theory, combustion, and astrophysics.

Best Publications

  • The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations

    Phillip Colella;Paul R Woodward

  • The numerical simulation of two-dimensional fluid flow with strong shocks

    Paul Woodward;Phillip Colella

  • Local adaptive mesh refinement for shock hydrodynamics

    M. J. Berger;P. Colella

  • A second-order projection method for the incompressible navier-stokes equations

    John B Bell;Phillip Colella;Harland M Glaz

  • Multidimensional upwind methods for hyperbolic conservation laws

    Phillip Colella

  • An Adaptive Level Set Approach for Incompressible Two-Phase Flows

    Mark Sussman;Ann S Almgren;John B Bell;Phillip Colella

  • Efficient Solution Algorithms for the Riemann Problem for Real Gases

    Phillip Colella;Harland M Glaz

  • A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations

    Ann S. Almgren;John B. Bell;Phillip Colella;Louis H. Howell

  • Titanium: a high-performance Java dialect

    Katherine A. Yelick;Katherine A. Yelick;Luigi Semenzato;Luigi Semenzato;Geoff Pike;Geoff Pike;Carleton Miyamoto;Carleton Miyamoto

  • A Cartesian Grid Embedded Boundary Method for Poisson's Equation on Irregular Domains

    Hans Johansen;Phillip Colella

  • A Direct Eulerian MUSCL Scheme for Gas Dynamics

    Phillip Colella

  • THE PLUTO CODE FOR ADAPTIVE MESH COMPUTATIONS IN ASTROPHYSICAL FLUID DYNAMICS

    A. Mignone;C. Zanni;P. Tzeferacos;B. van Straalen

  • An Adaptive Cartesian Grid Method for Unsteady Compressible Flow in Irregular Regions

    Richard B. Pember;John B. Bell;Phillip Colella;William Y. Curtchfield

  • Glimm's Method for Gas Dynamics

    Phillip Colella

  • Theoretical and numerical structure for reacting shock waves

    Phillip Colella;Andrew Majda;Victor Roytburd

  • A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing

    G. H. Miller;P. Colella

  • Chombo Software Package for AMR Applications Design Document

    M. Adams;P. Colella;D. T. Graves;J. N. Johnson

  • Productivity and performance using partitioned global address space languages

    Katherine Yelick;Dan Bonachea;Wei-Yu Chen;Phillip Colella

  • A higher-order Godunov method for multidimensional ideal magnetohydrodynamics

    Andrew L. Zachary;Andrea Malagoli;Phillip Colella

  • Higher order Godunov methods for general systems of hyperbolic conservation laws

    J. B. Bell;P. Colella;J. A. Trangenstein

  • A Cartesian grid embedded boundary method for hyperbolic conservation laws

    Phillip Colella;Daniel T. Graves;Benjamin J. Keen;David Modiano

Frequent Co-Authors

John B. Bell
John B. Bell Lawrence Berkeley National Laboratory
Katherine Yelick
Katherine Yelick University of California, Berkeley
Susan L. Graham
Susan L. Graham University of California, Berkeley
Leonid Oliker
Leonid Oliker Lawrence Berkeley National Laboratory
Adam P. Arkin
Adam P. Arkin Lawrence Berkeley National Laboratory
John Shalf
John Shalf Lawrence Berkeley National Laboratory
Tadeusz W Patzek
Tadeusz W Patzek King Abdullah University of Science and Technology
Alex Aiken
Alex Aiken Stanford University
Arvind Krishnamurthy
Arvind Krishnamurthy University of Washington
Ben Liblit
Ben Liblit University of Wisconsin–Madison

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