The PhD program in Computational Science produces mathematical scientists who bring the latest in computational methodology and problem solving to a variety of academic and industry settings.

Offered in collaboration with San Diego State University’s Computational Science Research Center, CGU’s PhD in Computational Science emphasizes interdisciplinary scholarship over specialization. Students learn to export computational and mathematical methods and applications across disciplinary boundaries while conducting graduate-level research. You’ll undertake collaborative research with faculty at CGU and SDSU who possess extensive backgrounds in applied mathematics, computational science, statistics, physical sciences, industrial modeling, and more. Our program creates versatile computational researchers who are prepared to contribute to research and development in modern academic, government, and industrial settings.

Program Highlights
  • In addition to working with faculty from CGU, you will complete graduate level courses and research projects under the supervision of SDSU faculty from the departments of physics, mathematics, computer science, chemistry, and biology.
  • Unlike most other doctoral programs, the interdisciplinary approach of this program will prepare you for a career outside academia as someone capable of working beyond traditional boundaries, within multidisciplinary teams, applying what you know to other areas of research and development.
  • Your degree is awarded jointly by both Claremont Graduate University and San Diego State University.
Program Details

Program at a Glance

UNITS
72 units

COMPLETION TIME
3–5 years

LOCATION
Claremont, CA | San Diego, CA

COURSES BEGIN
Fall

AFFILIATE
SDSU Computational Science Research Center

DEGREE AWARDED
PhD in Computational Science

Featured Courses

MATH 352
Nonparametric & Computational Statistics

Analyzes the treatment of statistical questions that do not depend on specific parametric models.

MATH 368
Numerical Methods for Matrix Computations

Examines numerical linear algebra and the matrix computations that arise in solving linear systems, least-squares problems, and eigenvalue problems for both dense and sparse matrices.

MATH 239
Fourier Analysis

Examines the difficulties involved in reconstructing arbitrary functions as infinite combinations of elementary trigonometric functions.

MATH 355
Linear Statistical Models

Discusses linear statistical models in full and less-than-full rank cases, the Gauss-Markov theorem, and applications to regression analysis, analysis of variance, and analysis of covariance.

MATH 353
Asymptotic Methods in Statistics With Applications

Examines modes of convergence for random variables and their distributions, central limit theorems, laws of large numbers, statistical large sample theory of functions of sample moments, and more.

MATH 387
Discrete Mathematical Modeling

Explores techniques in discrete mathematical modeling, including combinatorial analysis, Markov chains, graph theory, optimization, algorithmic behavior, and more.

View All Mathematics Courses

Curriculum

Degree Requirements
A total minimum of 72 units of course work, independent study, and research (including transfer credit) must be completed.

  • 24 units of graduate level coursework at SDSU (Computational Science program)
  • 24 units of graduate level coursework at CGU (Graduate Mathematics program)
  • 24 units of research, practicum, dissertation and graduate seminar at either institution

View Detailed Program of Study

Resources

Engineering & Industrial Applied Mathematics Clinic
CGU’s internationally recognized Engineering & Industrial Applied Mathematics Clinic offers first-hand experience solving significant mathematical problems for industry and government clients.

Recent projects include:

  • Optimizing Transmission of Renewable Energy–Southern California Edison
  • Hardware-Software Codesign–Los Alamos National Laboratory
  • Data Cohort Analysis–Fair Isaac
  • Optimizing Smart Power Grids–Los Alamos National Laboratory
  • Credit Risk in a Network Economy–Fitch Rating
  • Isogeometric Analysis–Boeing
  • Gate to Base Capacitance Modeling for Nanoscale MOSFETs–USC Information Sciences Institute
  • Practical Semi-Analytic Model for the Substrate Current of Short Channel MOSFETs with LDDs–USC Information Sciences Institute

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Claremont Center for the Mathematical Sciences
Through the Claremont Center for the Mathematical Sciences (CCMS), you’ll have access to one of the largest mathematical science communities in California, as well as to workshops, conferences, and seminars, including:

  • Southern California Analysis Seminar
  • Math-in-Industry Workshop
  • Michael E. Moody Lecture Series
  • History and Philosophy of Mathematics Seminar
  • Claremont Mathematics Weekend
  • CCMS Software Lab
  • and more

Learn More

Faculty & Research
  • John Angus profile image

    John Angus

    Professor of Mathematics

    Research Interests

    Probability, Statistics, Computing, Algorithms, Navigation, Systems Engineering, Mathematical Finance

  • Marina Chugunova profile image

    Marina Chugunova

    Associate Professor of Mathematics
    Director, Institute of Mathematical Sciences
    Program Director, PhD in Engineering & Industrial Applied Mathematics

    Research Interests

    Surfactant-driven thin film flows in biomedical applications; Nonlinear parabolic equations; Stability problems in fluid dynamics; Scientific computations; Applied operator theory; Sturm-Liouville problems

  • Ellis Cumberbatch profile image

    Ellis Cumberbatch

    Professor of Mathematics Emeritus

    Research Interests

    Applied mathematics, Industrial modeling, Differential equations, Fluid mechanics, Wave propagation, Semi-conductors

  • Hrushikesh Mhaskar profile image

    Hrushikesh Mhaskar

    Research Professor of Mathematics

    Research Interests

    Approximation theory, Computational harmonic analysis, Mathematics of data, Query processing

  • Ali Nadim profile image

    Ali Nadim

    Professor of Mathematics
    Joseph H. Pengilly Chair in Mathematics

    Research Interests

    Fluid Dynamics, Mathematical Modeling, Scientific Computing

  • Andrew Nguyen profile image

    Andrew Nguyen

    Adjunct Professor of Mathematics

    Research Interests

    Stochastic processes, Statistics, Risk management, Financial derivatives, Actuarial sciences, Statistical software

  • Qidi Peng profile image

    Qidi Peng

    Research Assistant Professor of Mathematics

    Research Interests

    Statistical inferences, Stochastic differential equations, Stochastic modeling, Simulation, Machine learning, Approximation theory, Graph theory

  • Allon Percus profile image

    Allon Percus

    Professor of Mathematics

    Research Interests

    Discrete optimization; Network models; Statistical physics; Random combinatorial structures

  • Claudia Rangel-Escareño profile image

    Claudia Rangel-Escareño

    Adjunct Professor of Mathematics

    Research Interests

    Probabilistic methods in computational biology, Statistical inference of genetic networks, Bioinformatics

  • Henry Schellhorn profile image

    Henry Schellhorn

    Associate Professor of Mathematics
    Academic Director, Financial Engineering Program

    Research Interests

    Financial engineering, Credit risk, Interest rate models

Extended Faculty

In addition to CGU core faculty, you will have access to Math faculty across the Claremont Colleges, including Pomona, Scripps, Harvey Mudd, Claremont McKenna, Pitzer, and Keck Graduate Institute, as well as faculty who are part of the W.M. Keck integrated science department.

View Full Faculty List

Harvey Mudd
View Math Faculty

Pomona
View Math Faculty

Claremont McKenna
View Math Faculty

Scripps
View Math Faculty

Pitzer
David Bachman
Jim Hoste

W.M. Keck Integrated Science Department
(Claremont McKenna, Pitzer, Scripps)
Adam Landsberg
John Milton

Keck Graduate Institute
Animesh Ray
James Sterling

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Jake Campbell

Senior Assistant Director of Admissions and Veteran Outreach
T: 909-607-3024 (Direct)
T: 909-607-7811 (Central Admissions)
E: jake.campbell@cgu.edu