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<title>
   Numerical Computation Research Group
</title>

<h3>
    Computer Science Department
<br>
    University of Colorado at Boulder
<br>
    Academic Year 1996/97
</h3>
<hr>
<br>



<h1>
   Numerical Computation Research Group
</h1>


<h2>
   Faculty
</h2>

   <!WA0><a href="http://www.cs.colorado.edu/~lizb/Home.html">
      Liz Bradley
   </a>,

   <!WA1><a href="http://www.cs.colorado.edu/~richard/Home.html">
      Richard Byrd
   </a>,

   <!WA2><a href="http://www.cs.colorado.edu/~cai/Home.html">
      Xiao-Chuan Cai
   </a>,

   <!WA3><a href="http://www.cs.colorado.edu/~jessup/Home.html">
      Liz Jessup 
   </a>,

   <!WA4><a href="http://www.cs.colorado.edu/~mcbryan/Home.html">
      Oliver McBryan
   </a>,

   <!WA5><a href="http://www.cs.colorado.edu/~bobby/Home.html">
      Bobby Schnabel
   </a>.


<h2>
   Research Interests 
</h2>

<p>
The numerical computation research group is concerned with
developing, analyzing, implementing, and testing methods for
solving mathematical problems on computers.  It is also
concerned with applications of numerical methods to scientific
and engineering applications, and with languages and tools 
for numerical computation.  There is considerable emphasis
on the development of methods for parallel computers.

<p>
Specific areas of emphasis within the group include optimization
and nonlinear equations (Byrd, Schnabel), partial differential
equations (Cai, McBryan), eigenvalue problems (Jessup), and
languages and tools for parallel computation (Jessup, Schnabel).
Currently there is also considerable emphasis on applications
from molecular chemistry (Byrd, Schnabel), astrophysics (McBryan),
space structures (McBryan), and combustion and chaotic systems (Bradley).

<p>
Courses and a textbook in
<!WA6><a href = "http://www.cs.colorado.edu/ftp/pub/HPSC/README.html>
   High Performance Scientific Computing
</a>
have been developed for both undergraduates and graduate students.
A specially equipped laboratory, the HPSC lab, provides computing support
for these courses.

<h2>
   Major Funded Research Projects
</h2>

The main funded research projects in this area include:

<ul>
   <li> High performance computing issues for turbulence and aeroelastic
           simulation -- funded by ARPA, NSF, and NASA, including an 
           NSF Grand Challenge grant and a NASA Grand Challenge grant
   <li> Large-scale optimization methods, with emphasis on applications   
           from molecular chemistry -- funded by AFOSR, ARO, NSF
   <li> Numerical methods for structured sparse matrix problems --
           funded by DOE 
   <li> Domain decomposition methods for partial differential equations  --
           funded by NSF
</ul>

<p>
In addition, each faculty member in this group who was eligible
to compete for an NSF Young Investigator award -- Bradley, Cai,
and Jessup -- has received this award. 


<h2>
Professional Leadership Activities in Numerical Computation
</h2>

Selected activities in the numerical computation community are listed
below.

<ul>
   <li> Byrd: Editorial board, Applied Mathematics Letters
   <li> McBryan: Editorial board, IMPACT of Computing in Scientific
           Applications, Supercomputing Review, Concurrency: Practice and 
           Experience; member, Army High Performance Computing Research Center
           Board, NIST Computer Board, Los Alamos National Laboratory Computing
           Review Board
   <li> Schnabel: Past chair, ACM Special Interest Group on Numerical
           Mathematics; Associate editor, Mathematical Programming,
	   SIAM Review, SIAM Journal on Optimization;
	   member, SIAM Council, RIACS Science Council; co-founder,
	   SIAM Activity Group on Optimization
</ul>
   

<h2>
Facilities
</h2>

In addition to utilizing the department's many workstations,
the numerical computation group makes extensive use of the
parallel computing facilities available in the department.
Currently these include:

<ul>
   <li> Intel iPSC-2 Distributed Memory Multiprocessor (32 processors)
   <li> KSR1 Virtual Shared Memory Multiprocessor (64 processors)
   <li> Intel Paragon Distributed Memory Multiprocessor 
           (208 nodes, 6GB memory), housed at NOAA Laboratory, Boulder 
</ul>