Computational math orientation

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See Presentation at the August 2016 orientation for the most recent version.


Who are we?

Computational math faculty

Tenured/Tenure-Track Faculty

  • TroyButler.jpgTroy Butler Assistant Professor: Uncertainty quantification. Data assimilation. Inverse sensitivity analysis problems. Applications: nuclear fuel, subsurface contaminant transport, storm surge, hydrology, structural defect detection.
  • VarisCarey2.jpgVaris Carey Assistant Professor: Uncertainty Quantification. Numerical Error Estimation for PDEs. Multiscale modeling. Applications: Combustion, Geophysical Fluid Dynamics, Magnetic Confinement Fusion.
  • JulienLangou.jpg Julien Langou Professor: Numerical linear algebra, Error analysis of algorithms, Parallel computing, Numerical analysis
  • HaiLin.jpg Hai Lin Associate Professor: Combined QM/MM, Molecular Modeling and Simulations, Ion Transport, Enzymatic Reactions, Membrane Proteins
  • JanMandel.jpg Jan Mandel Professor: data assimilation, wildfire modeling, probability, numerical PDEs, multigrid, domain decomposition

Research Faculty

  • LorenCobb.jpg Loren Cobb, Associate Research Professor: Computational sociology, economics, and political science, Mathematical statistics
  • HenricusBouwmeester.jpgHenricus Bouwmeester, Visiting Assistant Professor


  • Joe Malingowski, Computer Systems Administrator

Our current students


James Haley, Stephanie Patterson, Michael Pilosov, Scott Walsh, Tian Yu Yen

What is computational mathematics?

What is computational mathematics.png


Why computational mathematics?

  • We get to play with cool toys and work on important problems
  • Learn high level pure math as well as professional software development with our help
  • Big impact on practical applications and high number of citations
  • We have grants and offer some student research support
  • Our PhDs are getting great jobs with nice salaries, often larger than our own

Some recent grants

Recent PhDs

  • Volodymyr Kondratenko, 2015, Mandel, Pacific Metrics
  • Bradley Lowery, 2014, Langou, Univ. of Sioux Falls
  • Matthew Nabity, 2013, Langou, Western Oregon Univ.
  • Eric Sullivan, 2013, Bennethum, Carrol College
  • Henricus Bouwmeester, 2012, Langou, CU Denver
  • Kannanut Chamsri, 2012, Bennethum, King Mongkut's Institute of Technology, Thailand
  • Donald McCuan, 2012, Knyazev,
  • Peizhen Zhu, 2012, Knyazev, Missouri Univ. of Science and Technology
  • Eugene Vecharynski, 2011, Knyazev, Lawrence Berkeley National Laboratory
  • Keith Wojciechowski, 2011, Bennethum, Univ. of Wisconsin Stout
  • Minjeong Kim, 2011, Mandel
  • Bedrich Sousedik, 2010, Mandel, Univ. of Maryland, Baltimore County
  • Christopher Harder, 2010, Franca, Metropolitan State University of Denver
  • Jonathan Beezley, 2009, Mandel, Kitware
  • Ilya Lashuk, 2007, Knyazev, Tufts Univ.
  • Tessa Weinstein, 2006, Bennethum, Coastal Carolina University
  • Abram Jujunashvili, 2005, Knyazev, Software Industry

What do we play with?

Current hardware toys

Software that we contribute to, develop, or maintain

  • SFIRE for WRF

What is our curriculum?

  • PhD program core: Applied analysis, Linear algebra
  • Analysis background (often considered classical pure math): Real Analysis, Functional Analysis, Mathematical Probability,...
  • Modeling and PDEs: Partial Differential Equations, Continuum Mechanics,...
  • Numerical computing: Numerical Analysis, Approximation Theory, Finite Element Methods, Numerical PDEs, Numerical Linear Algebra, Iterative methods, Optimization,...
  • Parallel computing and software development: Sometimes included other classes, some readings classes, mostly we learn by doing
  • Emerging directions: probabilistic computing, need probability and statistics

How do we work and communicate?

How do we look?

Ccm 2010.jpg

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