Computational math orientation
See Presentation at the August 2016 orientation for the most recent version.
Who are we?
Computational math faculty
- Troy Butler Assistant Professor: Uncertainty quantification. Data assimilation. Inverse sensitivity analysis problems. Applications: nuclear fuel, subsurface contaminant transport, storm surge, hydrology, structural defect detection.
- Varis Carey Assistant Professor: Uncertainty Quantification. Numerical Error Estimation for PDEs. Multiscale modeling. Applications: Combustion, Geophysical Fluid Dynamics, Magnetic Confinement Fusion.
- Julien Langou Professor: Numerical linear algebra, Error analysis of algorithms, Parallel computing, Numerical analysis
- Hai Lin Associate Professor: Combined QM/MM, Molecular Modeling and Simulations, Ion Transport, Enzymatic Reactions, Membrane Proteins
- Jan Mandel Professor: data assimilation, wildfire modeling, probability, numerical PDEs, multigrid, domain decomposition
- Loren Cobb, Associate Research Professor: Computational sociology, economics, and political science, Mathematical statistics
- Henricus 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?
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
- Jan Mandel, Wildland fire behavior and risk forecasting, NASA, $244,096
- Jan Mandel, Data assimilation in scientific computing, NSF DMS-1216481, $399,981
- Julien Langou, SI2-SSI: Collaborative Research: Sustained Innovation for Linear Algebra Software (SILAS), NSF ACI 1339797, $392,492
- Lynn Bennethum, A New Approach to Modeling Laminar to Turbulent Transition, DARPA HR0011-11-C-0028 subcontracted through NorthWest Research Associates; $51,167
- Lynn Bennethum (PI) with Randy Tagg and Robert Talbot, Physics First Science Partnership, Aligning Science with Math Curriculum, Professional Development for Teachers and Increased Academic Achievement in Science/Math; Colorado Department of Education, Math Science Partnership, $53,304
- Loren Cobb and Jan Mandel, Improved Tracking for Emerging Diseases from Climate Change, NIH, $613,030
- Andrew Knyazev/Julien Langou, Parallel Preconditioned Eigenvalue and Singular Value Solvers, NSF DMS 1115734, $178,524
- Andrew Knyazev, Locally optimal preconditioned eigenvalue solvers, NSF, $249,542
- Andrew Knyazev, Analysis of Microarray Gene Expression Data, NSF, $99,973
- Julien Langou, CAREER: Foundations for Understanding and Reaching the Limits of Standard Numerical Linear Algebra, NSF CCF 1054864, $400,000
- Julien Langou, Jack Dongarra, Jan Mandel, Daniel Connors, Jonathan Beezley, GPU Cluster for Computing Research, NSF CCF 1054864, $435,000
- Julien Langou, Improvement and Support of Community Based Dense Linear Algebra Software for Extreme Scale Computational Science, NSF OCI 1032861, $400,000
- Julien Langou, Parallel Linear Algebra Software for Multiprocessor Architectures, NSF CCF 0811520, $257,760
- Jan Mandel, The Open Wildland Fire Modeling E-community, NSF, $653,556
- Jan Mandel, Adaptive Multilevel Iterative Substructuring Methods, NSF, $209,965
- Henry Tufo, Jan Mandel, and others, MRI-Consortium: Acquisition of a Supercomputer by the Front Range Computing Consortium, NSF, $2,796,500
- 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
- Linux computer lab - workstations with 30" monitors, connected to a collection of servers, and a large wall-mounted 3D monitor
- Gross cluster - cluster for parallel computing, large memory front end, large fast disk array ($120K)
- Colibri cluster - cluster for parallel computing, available GPU and large memory nodes, large fast disk array
- Janus cluster (with Boulder and NCAR) - number 31 in the Top 500 June 2010 list ($8M)
Software that we contribute to, develop, or maintain
- MATLAB and OCTAVE
- LAPACK and SCALAPACK
- BLOPEX and HYPRE
- 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?
- Check the events box at the math page
- CCM colloquium - attendance required of all computational math students. Student and faculty presentations, guest speakers. Monday 10-11:30 in room 656.
- Data assimilation seminar - working group of Jan Mandel and Loren Cobb for probability and statistics in computing, spatial epidemiology project, and wildfire modeling project. Some presentations, but mostly informal work sessions. Focus on understanding and going slowly.
- Other faculty members generally have their own groups that meet weekly.
- CCM Research Reports
- CCM website and this wiki
- Be sure to check out our Howtos!