Software Manual

Manuals for libraries used in assignments.

All software documentation is generated using the popular Doxygen with JavaDoc-style comments on the code. To regenerate documentation, run doxygen doxygen.cfg in the project root (in the gh-pages branch).

Homework Problems

• HW 1
  1. Machine Epsilon
  2. Absolute/Relative Approximation Error
  3. Logistic Equation
  4. Spring Mass Equation
• HW 2
  1. Matrix Library Written in C++
  2. Finite Difference Method Coefficients
  3. Thomas Algorithm to solve Elliptic ODE (With Error Norm)
  4. LU Factorization
  5. Jacobi Iteration
  6. Elliptic ODE (non-simplified version)
• HW 3
  1. Matrix Norms
  2. Power Iteration
  3. Inverse Power Iteration
  4. Laplace Equation with FDM
• HW 4
  1. Gauss-Siedel
  2. Conjugate Gradient
  3. CG-Solution to Poisson
  4. Explicit Euler
• HW 5
  1. Some Test Cases
  2. Explicit Euler Part Deux
  3. Implicit Euler
  4. Runge Kutta
  5. Predictor Corrector
  6. Summary
• HW 6
  1. Some Experiments
  2. Implicit Euler Experiment
  3. Predictor Corrector Experiment
  4. Runge Kutta Experiment
• HW 7
  1. Heat Equation
  2. Heat Equation w/ Implicit Euler
  3. Heat Equation w/ Predictor Corrector
  4. Heat Equation w/ Runge Kutta
• HW 8
  1. Upwinding
  2. Lax Wendorff
  3. Warming and Beam Methods
  4. Von Neumann Stability