(Created 2011-09-01.)

ADVANCED COURSE IN NUMERICAL ALGORITHMS WITH PYTHON/SCIPY | FMNN25 |

**Aim**

The course is intended as an algorithm oriented complement to most of the basic and specialized courses in numerical analysis, which are focused on analysis of methods. The course emphasizes the coupling between complex numerical algorithms and modern programming languages.

*Knowledge and understanding*

For a passing grade the student must

- have reinforced her/his knowledge about a number of important computational problems, and ways to attack them.

*Skills and abilities*

For a passing grade the student must

- have learnt how to code, test and evaluate the results of complex numerical algorithms, using established programme libraries.

- be able to carry out a group programming project, including identifying subproblems, distribution of tasks within the group and responsibility for the completion of his/her task.

- be able to account for a computational project, both in a written report and orally.

**Contents**

Introduction to Python for students already familar with another programming language, the use of object oriented programming in scientific computing, Scipy/Numpy datastructures.

Examples of complex numerical algorithms from varying subjects in numerical analysis,

Coupling to advanced numerical libraries in C and Fortran (Netlib).

Automatic tests in scientific computing. Graphical representation of mathematical results (animation). The use of Python to control system processes.

The course may be complemented with special contributions of invited guest teachers.

**Literature**

Führer,C, Solem,, J.E, Verdier, O: Scientific Computing with Python. Centre for Mathematical Sciences 2011.