Computational math orientation
From Ccm
Contents |
Who are we?
Computational math faculty
Tenured Faculty
-
Lynn Bennethum Associate Professor: Porous media, Continuum mechanics, Numerical solution of PDEs
-
Andrew Knyazev Professor: Eigenvalue problems, Numerical PDEs, Large scale parallel computations, Multigrid and Finite Element methods, Electronic structure calculations, Data clustering and Image segmentation
-
Julien Langou Associate Professor: Numerical linear algebra, Error analysis of algorithms, Parallel computing, Numerical analysis
-
Jan Mandel Professor: data assimilation, wildfire modeling, probability, numerical PDEs, multigrid, domain decomposition
Research Faculty
-
Jonathan Beezley, Assistant Research Professor
-
Loren Cobb, Associate Research Professor: Computational sociology, economics, and political science, Mathematical statistics
-
Rodney James, Assistant Research Professor
Staff
-
Russ Boice Computer Systems Administrator
Our current students
PhD
Henricus Bouwmeester, Tom Carson, Kannanat (Mon) Chamsri, Volodymyr Kondratenko, Brad Lowery, Donald McCuan, Mark Mueller, Matthew Nabity, Bryan C. Smith, Eric Sullivan, Peizhen Zhu
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
- 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, Parallel Preconditioned Eigenvalue and Singular Value Solvers, NSF, $65,080
- 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, $220,288
- Julien Langou, Jack Dongarra, Jan Mandel, Daniel Connors, Jonathan Beezley, GPU Cluster for Computing Research, NSF, $435,000
- Julien Langou, Improvement and Support of Community Based Dense Linear Algebra Software for Extreme Scale Computational Science, NSF, $400,000
- Julien Langou, Parallel Linear Algebra Software for Multiprocessor Architectures, NSF, $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
Recent PhDs
- Yaugen Vecharynski, 2011, Knyazev, Univ. Minnesota Minneapolis
- Keith Wojciechowski, 2011, Bennethum, University of Wisconsin Stout
- MInjeong Kim, 2011, Mandel
- Bedrich Sousedik, 2010, Mandel, University of South Callifornia
- Christopher Harder, 2010, Franca, Brazil, Acad. of Sci.
- Jonathan Beezley, 2009, Mandel, UC Denver
- Ilya Lashuk, 2007, Knyazev, LLNL
- 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
- IBM BlueGene supercomputer - Front Range Consortium (with NCAR and UCB)
- Gross cluster - cluster for parallel computing, large memory front end, large fast disk array ($120K)
- Janus cluster (with Boulder and NCAR) - number 31 in the Top 500 June 2010 list ($8M)
- visualizations
Coming soon
- GPU cluster - up to 80 NVIDIA GPUs - very fast, uses graphics card hardware for numerical computing ($435K)
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?
- 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!
How do we look?
