Week 07 (February 19)

Tuesday

• Introduction to solving linear systems Ax=b
  • Direct vs. iterative methods
  • Using a fixed point method to solve F(x) = b-Ax
  • Discussion of notebooks fixed_point.ipynb (see notebooks directory on this site)

Thursday

Introduction to implementation details

• Node-centered meshes vs. cell-centered meshes. Is one easier than the other?
• Jacobi method - parallelizes in an obvious way.
• Gauss-Seidel method (not obvious how to parallelize)