Course Catalog

Numerical Analysis (ENME 602)

Offered By:  Engineering and Materials Science Faculty

Description

  1. Basics of numerical mathematics.
  2. Program libraries.
  3. Roots of equations.
  • Bisection
  • False-position
  • Fixed point iterations
  • Secant method
  • Newton Raphson
  1. Matrix Operations
  • Gauss Elimination
  • LU-Decomposition
  • Gauss Seidel
  1. Curve Fitting
  • Regression
  • Polynomial regression
  • Least square method
  1. Numerical Integration
  • The Trapezoidal Rule
  • Simpson's Rule
  • Gauss Quadrature
  1. Initial and boundary value problem
  • Runge-Kutta methods
  • General basics for boundary value problems
  • Computation of eigenvectors.
  1. Introduction to finite elements and finite differences
  • Finite Difference Methods for ODE's
  • Finite Difference Methods for PDE's
  • Finite Element Methods