Undergraduate Research in Computational Mathematics 2007-2008

URCM Seminars - Fall 2007

Project Directors

• Dr. Tim Sauer -- Project PI-- tsauer@gmu.edu-- Mathematical Sciences. 233 ST1
• Dr. John Wallin --Project Director 2007/8 -- jwallin@gmu.edu--Computational and Data Sciences, Research I, room 352

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• Dr. Dan Anderson --Mentor -- danders1@gmu.edu--Mathematical Sciences. 231 ST1
• Kumnit N, student researcher
• Kat W, student researcher

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• Dr. Thomas Wanner --Mentor -- wanner@math.gmu.edu--Mathematical Sciences. 226E ST1
• Dr. Evelyn Sander --Mentor -- sander@gmu.edu--Mathematical Sciences. 251 ST1
• John P, student researcher
• Hanein E, student researcher

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• Dr. Juan Cebral --Mentor -- jcebral@gmu.edu--Computational and Data Sciences, 342 Research I
• David A, student researcher
• Steve H, student researcher

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• Dr. Robert Weigel --Mentor -- rweigel@gmu.edu--Computational and Data Sciences, 350 Research I
• Andrew K, student researcher
• Mohammed M, student researcher

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• Dr. Dimitris Papaconstantopoulos --Mentor-- dpapacon@gmu.edu0--Computational and Data Sciences, 339 Research I
• Alex K, student researcher
• Fred I, student researcher

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• Resource

  • < a href="http://wwwinfo.cern.ch/asdoc/psdir/f90.ps.gz">Fortran 90 Tutorial by Metcalf
  • Presidential Commission on Computational Science
  • The NSF Computational Science for Undergraduates in the Mathematical Sciences Program
  • Math 493- including picture of our students
  • CDS Computing
  • CDS Computing FAQ
  • ITU Support Center
  • The Department of Mathematical Sciences
  • Department of Computational and Data Sciences

• Learning Linux and Matlab

  • http://www.linux.org/lessons/
  • http://www.schabell.com/linux-courses/
  • http://www.mathworks.com/access/helpdesk/help/techdoc/matlab.shtml
  • http://courses.washington.edu/css457/matlab/learning_matlab.pdf

• Practice Programming Projects

  • Download the following tarred datafiles
  • Untar them in a local directory
  • Write a matlab program that
    • Reads in the first two lines of the matrix files - these are (n,m) the number of rows and columns in the matrix
    • Reads in the nxm matrix A in the correct order - here is a link that show the correct order for matrix5
    • Reads in a vector y that is m elements long
    • Multiplies the matrix by the vector x = Ay
    • Prints out the results
  • Repeat the previous steps with Fortran
  • Using Matlab, solve the problem Ax = y
  • Repeat using Fortran - you will need to use some numerical libraries to do this. This part of the problem is fairly complex, and it may take a while before you can complete this task.