Mar 20, 2023  
2015-2016 Undergraduate Academic Catalog 
2015-2016 Undergraduate Academic Catalog [ARCHIVED CATALOG]

Add to Portfolio (opens a new window)

GE 611 - Numerical Methods

3 lecture hours 0 lab hours 3 credits
Course Description
This course introduces numerical methods for solving ordinary differential equations and partial differential equations with engineering applications. (prereq: Computer programming, Differential Equations and Laplace Transform, Graduate standing)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • No course learning outcomes appended

Prerequisites by Topic
  • Computer Programming
  • Differential equations and Laplace Transform

Course Topics
  • Taylor series, Error propogation, Numerical Differentiation, Forward-Backward-Central difference formulations of First and Second derivatives, Richardson’s Extrpolation
  • Numerical Integration: Newton-Gregory forward formula for interpolation, Trapezoidal rule, Simpson’s rules, Boole’s rule, Romberg Integration
  • Root finding methods: Bisection, False position, Fixed-point iteration, Newton-Raphson, Secant, Modified Secant
  • Ordinary Differential Equations: Initial Value problems, Euler’s method, Heun’s method, Runge-Kutta methods- Third order and Fourth Order, Stiff equations: Implicit Euler’s method, Adam’s solvers: Explicit and Implicit methods, Milne’s predictor-corrector methods

Subha Kumpaty

Add to Portfolio (opens a new window)