The  main  objective  of  this  course  is  to  present  the  main  numerical  methods  applied  to  computational  mechanics and  their  corresponding  mathematical  analysis. 

This presentation will be very detailed, including implementation issues often overlooked by similar courses. As a result, students will have the knowledge to implement all the methods and actually will have to program a lot of them in order to solve several practical exercises that will be proposed along the course.  Periodically, students will present their exercises and discuss their results in class.

At  the  end  of the  course  a  student  should  have  become  familiar with many algorithms, should have a deep knolwledge of the most important ones and must know how to choose the most suitable for certain common problems of structural engineering.

1. Introduction to Octave/Matlab
2. Basic concepts on numerical methods. Floating-point representation of real numbers. Roundoff errors
3. Statics of solids and structures; nonlinear and linear problems
4. Nonlinear dynamics of solids and structures: one step, multi-step, structural and geometric methods