Computational Methods
Free

COURSE CONTENT
- Algebraic equations root finding and iterative solution methods for non-linear simultaneous equations
- Gaussian elimination, partial pivoting, iterative methods Gauss-Seidel and over-relaxation, algebraic eigenvalue problems
- Numerical integration
- Interpolation and curve fitting
- Numerical solution of ordinary differential equations, Taylor – Euler – Runge-Kutta methods – Midpoint rule – multistep and predictor-corrector methods
- Numerical instability
- Two-point boundary value problems, finite differences and shooting methods
LEARNING OUTCOMES
This course provides the basic knowledge of Numerical Analysis and Computational Mathematics.
The goals are to give the student the ability to solve linear and no-linear problems as well as to apply numerical techniques for solving mathematical and engineering problems using a PC. This knowledge is necessary and is used in many subsequent specialization courses in mechanical engineering and aeronautics.
At the end of the course the student will have developed the following skills and competencies:
- To solve numerically linear and non-linear algebraic equations as well as systems.
- Know methods to interpolate (estimate) a value of a function between two known values and curve fitting.
- Know to approximate derivatives and definite integrals.
- Know to solve numerically initial and boundary value problems
- To develop procedures in C which implement numerical techniques for the solution of mathematical and engineering problems.
Course Features
- Lectures 0
- Quizzes 0
- Skill level All levels
- Language English
- Students 0
- Assessments Yes