Welcome to MATH 9830: Sparse Matrix Algorithms and Advanced Topics in FEM (Spring 2015)

1. This site: http://www.math.clemson.edu/~heister/math9830-spring2015/
2. Blackboard: http://bb.clemson.edu
3. Syllabus
4. deal.II homepage: http://www.dealii.org
5. deal.II manual, tutorials
6. Video lectures
7. git repository
8. Homework:
   1. hw01.pdf
   2. hw02.pdf
   3. hw03.pdf
   4. hw04.pdf
   5. hw05.pdf
   6. hw06.pdf
   7. hw07.pdf
   8. hw08.pdf
9. Palmetto Cluster Help
10. Slides from class: slides.pdf

Contents:

• Numerical linear algebra:
  • sparse matrices
  • iterative solvers
  • preconditioners
  • multigrid methods
• Parallel computing in numerical methods:
  • models (MPI, Multithreading)
  • parallel linear algebra
• FEM analysis:
  • parallel FEM
  • incompressible flow problems
  • Stabilization schemes
  • flow problems

Prerequisites:

• MATH 8600
• MATH 8660 or approval of instructor

Optional reading material:

• The Unix Shell: http://software-carpentry.org/v4/shell/index.html
• A Tour of C++, Stroustrup
• C++ Programming Language (4th Edition), Stroustrup
• The Mathematical Theory of Finite Element Methods, Brenner/Scott
• Theory and Practice of Finite Elements, Ern/Guermond
• Iterative Methods for Sparse Linear Systems, Saad (pdf)
• Templates for the Solution of Linear Systems, Barrett et al. (free pdf)

See http://www.registrar.clemson.edu/pdf/academicCalendar.pdf for important dates.