# Unit ANALYSIS OF NUMERICAL METHODS

Course
Informatics
Study-unit Code
GP004259
Curriculum
In all curricula
Teacher
Ivan Gerace
Teachers
• Ivan Gerace
Hours
• 42 ore - Ivan Gerace
CFU
6
Course Regulation
Coorte 2023
Offered
2024/25
Learning activities
Affine/integrativa
Area
Attività formative affini o integrative
MAT/08
Type of study-unit
Opzionale (Optional)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
Italian
Contents
Partial differential equations. Weak formulation of the problem. Finite element method. Methods for solving the linear system: conjugate gradient.
Fredholm integral equations. Ill-position of the problem. Regularization.
Reference texts
Partial differential equations. Weak formulation of the problem. Finite element method. Methods for solving the linear system: conjugate gradient.
Fredholm integral equations. Ill-position of the problem. Regularization.
Educational objectives
The student will be able to describe, analyze, develop and apply numerical methods for:
partial differential equations of elliptical type;
Fredholm integral equations of the first kind.
Prerequisites
Elementi di base di analisi funzionale (importante).
Teaching methods
Face-to-face.
Other information
Optional written tests are provided during the lessons.
Learning verification modality
There are two tests to have to overcome in order to pass the exam.

The first is a written test. The purpose of this test is to entice the student in the study of solutions to problems through the application of the techniques studied in the theoretical subjects. This stage is essential in order to understand all the potentiality and purposes of the theory. The test is carried out in the classroom and independently by the student. Some exercises are offered to the student with the relevant score. The test is of unlimited duration and the student is free to use books and notes and use the computer. The test is evaluated by checking the proper performance of the year. The test is passed if you get a rating greater than or equal to 16. Passing this test allows admission to the second examination.
The second test is oral. The purpose of this test is to verify the theoretical competence and mastery of the subject by the student. The test can be sustained at any time after the passing of the first examination and lasts about half an hour. The result of this test will determine the final grade exam.

Both tests can be given in English if the student requests it.
Extended program
Partial differential equations. Weak formulation of the problem. Finite element method. Methods for solving the linear system: conjugate gradient.
Fredholm integral equations. Ill-position of the problem. Regularization.
Obiettivi Agenda 2030 per lo sviluppo sostenibile
4
Condividi su