Computational math orientation

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

Contents

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

Staff

  • Joe Malingowski, Computer Systems Administrator

Our current students

PhD

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

What is computational mathematics?

What is computational mathematics.png

Applications.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

  • MATLAB and OCTAVE
  • LAPACK and SCALAPACK
  • BLOPEX and HYPRE
  • ABINIT
  • 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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