Course teacher(s)
Artem NAPOV (Coordinator)ECTS credits
4
Language(s) of instruction
french
Course content
Floating point representation and arithmetic. Stability and conditioning. Systems of linear equations : conditioning, direct and iterative methods. Overdetermined systems and QR factorization. Nonlinear equations and systems of nonlinear equations. Interpolation and approximation of functions. Numerical integration. Ordinary differential equations (ODEs) and systems of ODEs : initial and boundary value problems.
Objectives (and/or specific learning outcomes)
Give a basic overview of different areas of numerical analysis, corresponding problems and numerical algorithms used to solve these problems. Practical aspects are explored with the help of GNU Octave software (an open source clone of Matlab).
Prerequisites and Corequisites
Required and corequired courses
Teaching methods and learning activities
Theory is exposed during the lectures. Students explore the practical aspects during the class hours (using Octave software in a computer laboratory).
References, bibliography, and recommended reading
1) A Quarteroni, R Sacco, F Saleri, Méthodes numériques: algorithmes, analyse et applications, Springer.
2) Lloyd N. Trefethen, David Bau, III, Numerical Linear Algebra, SIAM.
3) Uri Ascher and Chen Greif, A First Course in Numerical Methods, SIAM.
Other information
Contacts
Artem Napov
office : campus Solbosch, building D, office DB3.141 ;
e-mail : artem.napov@ulb.be
Campus
Solbosch
Evaluation
Method(s) of evaluation
- written examination
written examination
A written examination at the computer laboratory, covering theoretical and (mainly) practical aspects.
Mark calculation method (including weighting of intermediary marks)
The course mark is the written examination mark.
Language(s) of evaluation
- french