Numerical methods for differential equations (2013/2014)

Course code
4S00704
Credits
6
Coordinator
Marco Caliari
Academic sector
MAT/08 - NUMERICAL ANALYSIS
Language of instruction
Italian
Web page
http://profs.sci.univr.it/~caliari/teaching.htm#ED1314
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 4 I semestre Marco Caliari
Esercitazioni 2 I semestre Marco Caliari

Lesson timetable

I semestre
Activity Day Time Type Place Note
Teoria Monday 9:30 AM - 11:30 AM lesson Lecture Hall G  
Teoria Thursday 2:30 PM - 4:30 PM lesson Lecture Hall G  
Esercitazioni Thursday 2:30 PM - 4:30 PM laboratorio Laboratory Alfa  

Learning outcomes

The course has the purpose to analyze the main numerical methods for the solution of ordinary and classical partial differential equations, from both the analytic and the computational point of view.
There is an important part in the laboratory, where the studied methods are implemented and tested.
It is highly recommended to have attended the course Numerical analysis with laboratory.

Syllabus

Ordinary differential equations: numerical methods for initial value problems, one step methods (theta-method, variable step-size Runge-Kutta, exponential integrators) and
multistep, stiff problems, stability;
boundary value problems, finite differences and finite elements methods, spectral methods (collocation and Galerkin).
Partial differential equations: classical equations (Laplace, heat, transport and waves), multidimensional finite differences methods, the method on lines.

Assessment methods and criteria

After a first written part (solution in Matlab/Octave of some exercises in laboratory) there is an oral exam, to be due within the same session.

Teaching aids
Title Format (Language, Size, Publication date)
Dispensa  pdfpdf (it, 1171 KB, 23/01/14)