AMSC 661 / CMSC 661 Scientific Computing II (Section 0101)

Information for Spring 2005

Lecture Notes (pdf) (Some links may be broken.)
  • Introduction
  • Solution of ordinary differential equations, boundary value problems
  • Notes Part 1: Some theory
  • Notes Part 2: Computational methods
  • Solution of elliptic partial differential equations
  • Notes Part 1: Some theory
  • Notes Part 2: Computational methods (Reposted 03/07)
  • slit.m Adaptive mesh example from class
  • Notes Part 3: Eigenvalue problems
  • Solution of sparse linear systems of equations
  • Notes Part 1: Direct methods
  • spar5.m Demo from class, reordering the 5-point operator using various algorithms. (The documentation is not good.)
  • Notes Part 2: Iterative methods
  • Notes Supplement: Convergence of SIMs
  • Notes Part 3: Convergence of Krylov methods and multigrid
  • Solution of parabolic differential equations
  • Notes on initial value problems for ODEs
  • Notes on theory for parabolic problems (reposted 04-19)
  • Notes on numerical methods for parabolic problems (reposted 04-21)
  • Solution of hyperbolic differential equations
  • Notes on theory for hyperbolic problems
  • Notes on numerical methods for hyperbolic problems
  • Fourier transforms, wavelets, and fast multipole algorithms
  • Notes on Fast Poisson Solvers (reposted to change "j=" to "k=" on the last page)
  • Notes on Transforms and Wavelets
  • Multipole article by Sun and Pitsianis (This link should work from the umd.edu domain.)
  • Notes on the Fast Multipole Method