Laurea in Matematica Applicata

Numerical methods for differential equations (2010/2011)

Course code 4S02852   Credits 6   Coordinator Marco Caliari Disciplinary sector MAT/08 - Numerical Analysis Teaching language Italian Web page http://profs.sci.univr.it/~caliari/teaching.htm#ED1011

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Teaching is organised as follows:

Lecture timetable

Educational objectives

The course has the purpose to analyse 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.

Syllabus

Numerical linear algebra (semiiterative methods for the solution of large ans sparse linear systems).
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.

Exam methods

Written (solution in Matlab/Octave of some exercises) and oral exam.

Teaching aids
Activity	Title	Format (Language, Size, Publication date)
Teoria	Dispensa	pdf (it, 717.799 KB, 8/10/11)

Statistics on students' past performance (Art. 2 del D.M. 31/10/2007, n. 544)

Data from AA 2010/2011 based on 72 students. I valori in percentuale sono arrotondati al numero intero più vicino.