Computational Applied Mathematics
The Computational Applied Mathematics Group (CAM) is devoted the development, analysis and application of efficient numerical algorithms for solving large-scale scientific and engineering problems on advanced computer architectures. The Computational Applied Mathematics Group is home the Householder Postdoctoral Fellowship. Principal research areas include:
- Multi-scale methods, including atomistic-t-continuum coupling;
- Computational kinetic theory;
- Computational fluid dynamics and turbulence;
- High-dimensional approximation theory;
- Large-scale iterative methods for linear and eigenvalue problems;
- Numerical methods for stochastic (partial) differential equations;
- Uncertainty quantification;
- Probability theory;
- Statistical sampling and design of experiments;
- Combinatorial optimization and graph theory;
- Computational geometry and mesh generation;
- Sparse methods for data analytics;
- High-order continuous and discontinuous methods for PDEs; and
- Multi-resolution analysis
Group leader: Clayton Webster |
Group Secretary: Nancy Valentine |
Staff
- Rick K. Archibald (archibaldrk@ornl.gov)
- Nicholas Dexter (dexternc@ornl.gov) - Bredesen Center Student
- Eirik Endeve (endevee@ornl.gov)
- Diego Galindo (galindod@ornl.gov)
- George I. Fann (fanngi@ornl.gov)
- Charles Garrett (garrettck@ornl.gov)
- Cory Hauck (hauckc@ornl.gov)
- Jae-Seok Huh (huhj@ornl.gov)
- Jun Jia (jiaj@ornl.gov)
- Se Ran Jun (junse@ornl.gov)
- Mike R. Leuze (leuzemr@ornl.gov)
- Miroslav Stoyanov (stoyanovmk@ornl.gov)
- Hoang Tran (tranha@ornl.gov)
- Stephen Wood (woodsl4@ornl.gov) - Bredesen Center Student
- Yulong Xing (ORNL based UTK joint faculty)
- Guannan Zhang (zhangg@ornl.gov)
If you have an interest in collaborating with us, contact Clayton Webster, (865) 574-3649.
ORACLE Associate
Oak ridge National Laboratory (ORNL) has a rich history in computational mathematics. The first time that ORNL had the fastest computer in the world was 1954, when ORACLE (Oak Ridge Automatic Computer and Logical Engine) came online as the fastest and largest data storage computer on the planet, with a peak rate of 14 Kilo-FLOPS^{1}. ORACLE was tasked with problems in nuclear physics, radiation effects, and reactor shielding. Over the years ORNL has continued in the tradition of standing up world class leadership computing and has expanded the base of applications that computing plays an impactful and necessary role. The predictive methods group is dedicated to the continuing development of mathematical and statistical foundations for computational based science and engineering problems at scale on the evolving platforms of leadership computing. The ORACLE Fellowship seeks to engage promising graduate students that are beginning their career in the fields of mathematics and statistics that will produce the fundamental understanding and necessary algorithms to maximize the knowledge that can be gained from world class leadership computing. Candidates must be in an accredited Ph.D. program in mathematics, applied mathematics, computer science, or a related field at a U.S. university.
Oracle Fellows will earn $1,000 per week, which includes stipend and housing allowance, for up to a ten-week summer internship that may be renewed for a second summer. ORNL is located in east Tennessee, near Knoxville and the Smoky Mountains. Suitable applicants are encouraged to send a current resumé, along three letters of reference to Nancy Valentine, Oak Ridge National Laboratory, P.O. Box 2008 MS6164, Oak Ridge, TN, 37821-6164 (valentinen@ornl.gov).
^{1}Addition operation was 70µs with multiplication/division ~590µs
Associates
Matthew Plumlee was a Ph.D. student of the H. Milton School of Industrial and Systems Engineering Department of Georgia Institute of Technology when he started his Oracle Fellowship. While at the Computational and Applied Mathematics Group at Oak Ridge National Laboratory in the summer of 2013, he studied emulation methods for high performance computational modeling of stochastic differential equations.