NUMERICAL METHODS IN MECHANICS | FMN081 |

**Aim**

The aim of the course is to teach basics computational methods for solving simple and common mathematical problems by computers and numerical software. This includes the construction, application and analysis of basic computational algorithms. Problemsolving by computers is a central part of the course.

*Knowledge and understanding*

For a passing grade the student must

*Skills and abilities*

For a passing grade the student must

- be able to evaluate both accuracy and relevance of numerical results.

*Judgement and approach*

For a passing grade the student must

- write a logically well structured report in suitable terminology on the construction of basic mathematical models and algorithms.

- write a algorithmically well structured report in suitable terminology on the numerical solution of a mathematical problem.

**Contents**

Polynomial- and spline interpolation, L2 approximation, quadrature, fixed point- and Newton iteration, order of convergence, numerical methods for initial and boundary value propblems, stiff and non stiff problems, consistence and stability, basics of finite elements.

**Literature**

Süli, E., Mayers, D. F.: An introduction to Numerical Analysis. 2003. ISBN: 0521007941