NDAA07012U Scientific Computing

Skills
At course completion, the student should be able to:

• Choose an appropriate numerical method for the solution of the problem or sub-problem. The numerical method is selected among the methods presented in the course and it should be chosen with respect to the requirements of the model.
• Evaluate the numerical method with respect to potential accuracy, computational efficiency, robustness and memory requirements.
• Perform the required computation using Matlab or similar systems.
• Evaluate the quality of the solution with respect to the accuracy obtained and the sensitivity to model parameter variations.
• Estimate whether the quality of the solution is adequate relative to the desired use of the model.
• Analyse the reasons of a possible total failure of a method applied to a concrete problem.

Competences

The student will be able to use the methods presented in the course to perform numerical analysis of simple mathematical models from science in order to solve concrete problems and to evaluate the results obtained. The solution will mainly be based on Matlab or similar systems.

Knowledge

The student will know about

• simple mathematical models from science and numerical analysis of them.
• ideas behind and motivation for fundamental numerical methods for the solution of: linear and nonlinear equations, linear and nonlinear optimization, eigenvalue problems, initial value problems for ordinary differential equations, partial differential equations and the fast Fourier transform.