ME200C - Spring 2002

 Mathematical and Computational

Methods for Engineers


Objectives:  This course is an introduction to numerical methods, mainly those used to solve ordinary and partial differential equations.

 

Contents of the course:  Numerical methods from the user's point of view. Lagrange interpolation, splines. Integration: Trapezoid, Romberg, Gauss, Adaptive quadrature. Numerical solution of ordinary differential equations: explicit and implicit methods, multistep methods, predictor - corrector and Runge - Kutta methods, boundary value problems, eigenvalue problems. System of differential equations, stiffness. Emphasis is on analysis of numerical methods for accuracy, stability and convergence. Introduction to numerical solutions of partial differential equations. Von Neumann stability analysis. Alternating direction implicit methods, non linear equations.
 

Instructor:

Prof. Parviz Moin
Building 500, Room 500C
(650)-723-9713
moin@stanford.edu
Office Hours: MW 9:00-10:30 am


Course Assistant:

Sandipan Kumar Das
Building 520, Room 520L3, (650)-725-6076
skdas@stanford.edu
Office Hours:  M 4:30-6:00 pm, T 1:30-4:00 pm, W 4:30-6:00 pm, Th 2:00-4:00 pm,
                        F 10:00-12:00 am (if there is no class) & 4:30-6:00 pm, Sa 1:00-4:00 pm


Lectures:
MW 11:00-12:15, Skilling Auditorium.