Scientific computing, also called numerical analysis or
computational mathematics, is concerned with the design and
analysis of algorithms for solving mathematical problems arising in
many fields, especially in science and engineering, and with the
implementation of such algorithms on high performance computers.
Research topics in the
Scientific Computing Group at Illinois include:
- Iterative solvers and preconditioners for linear systems
- Mesh-based solvers for finite element structural analysis
- High-order finite element and spectral element methods
- Nonlinear systems and optimization
- Discrete exterior calculus
- Geometric mechanics and control
- Computational astrodynamics
- Numerical simulation of astrophysical phenomena
- Numerical simulation of biomolecules
- Numerical simulation of electromagnetics
- Numerical simulation of solid propellant rockets
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news
PhD Prelim Exam
(May 2009)
Jacob Schroder passed his PhD preliminary examination. His
thesis, written under the direction of Prof. Olson, is concerned with
generalizing smoothed aggregration in algebraic multigrid.
PhD Final Exam
(May 2009)
Bill Cochran passed his PhD final examination on May 11. His
thesis, written under the direction of Prof. Heath, is concerned with
generic mesh data structures, mesh partitioning, and mesh-based solvers.
Distinguished Visitors
(April 2009)
Prof. Donald Estep of Colorado State University and Prof.
Gilbert Strang of MIT were featured keynote speakers for the
annual CSE
Symposium on April 22.
PhD Final Exam
(April 2009)
Michael Wolf passed his PhD final examination on April 16. His
thesis, written under the direction of Prof. Heath, is concerned with
hypergraph-based combinatorial optimization of matrix-vector
multiplication.
Alumni Visitor
(April 2009)
Dr. Paul Hovland of Argonne National Laboratory, a former PhD
student of Prof. Heath, visited on April 8 and presented an overview of
automatic differentiation.
Software Release
(March 2009)
PyAMG, a library of
algebraic multigrid solvers developed by alumnus Nathan Bell,
Professor Luke Olson, and graduate student Jacob
Schroder, has been released. PyAMG is written largely in
Python and features a convenient user interface.
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