World's Best Scientists 2026 revealed!

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Mathematics

D-Index
59
Citations
30582
World Ranking
571
National Ranking
294

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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