Introduction to Numerical Methods for Engineering
Description
This introduction to numerical solutions of partial differential equations and nonlinear equations explores various techniques for solving complex engineering problems. Emphasis is on the analysis of numerical methods for accuracy, stability, and convergence from the user's point of view. Explore a wide variety of effective tools for numerical analysis in a realistic context.
Please note that this course is cross listed with CME206.
Prerequisites
- Linear Algebra with Applications to Engineering Computations (Stanford Course: CME200/ME300A) and Partial Differential Equations in Engineering (Stanford Course: CME204/ME300B), equivalents, or consent of the instructor.
- An undergraduate GPA of 3.3 or better.
Topics include
- Lagrange interpolation and splines
- Integration: trapezoid, Romberg, Gauss, adaptive quadrature
- Boundary value and eigenvalue problems
- Numerical solutions of ordinary and partial differential equations
- Systems of differential equations, stiffness
- Von Neumann stability analysis
- Alternating direction implicit methods and nonlinear equations
Course Availability
The course schedule is displayed for planning purposes – courses can be modified, changed, or cancelled. Course availability will be considered finalized on the first day of open enrollment. For quarterly enrollment dates, please refer to our graduate education section.
