Beatrice PATERNOSTER | NUMERICAL ANALYSIS
Beatrice PATERNOSTER NUMERICAL ANALYSIS
cod. 0522200003
NUMERICAL ANALYSIS
| 0522200003 | |
| DIPARTIMENTO DI MATEMATICA | |
| MATHEMATICS | |
| 2015/2016 |
| YEAR OF COURSE 2 | |
| YEAR OF DIDACTIC SYSTEM 2010 | |
| PRIMO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| MAT/08 | 6 | 48 | LESSONS |
| Objectives | |
|---|---|
| 1.KNOWLEDGE AND UNDERSTANDING THE AIM OF THE COURSE IS ACQUIRE KNOWLEDGE TO ANALYZE CRITICAL THEORY AND NUMERICAL METHODS RELATING TO THE MAIN PROBLEM RESOLUTION NUMBER MODELED TO PARTIAL DIFFERENTIAL EQUATIONS. 2.APPLIED KNOWLEDGE AND UNDERSTANDING BY MEANS OF THE PRACTICE IN THE LABORATORY, THE STUDENTS WILL BE ABLE TO EXPERIMENT SOME NUMERICAL METHODS, TO ESTIMATE THE RELIABILITY OF THE OBTAINED RESULTS, TO DEVELOP ELEMENTS OF MATHEMATICAL SOFTWARE , TO USE PACKAGES OF NUMERICAL ANALYSIS AND TO EVALUATE PERFORMANCES. 3.JUDGEMENT THE COURSE AIMS TO DEVELOP THE STUDENTS’ SKILL TO CHOOSE THE MOST SUITABLE NUMERICAL METHOD FOR ANY SPECIFIC PROBLEM TO SOLVE, AND TO COMPARE THE PERFORMANCES OF THE CODES BASED ON DIFFERENT NUMERICAL METHODS, RESPECT TO EFFICIENCY, ACCURACY AND STABILITY. 4.COMMUNICATION SKILLS THE STUDENT WILL BE ABLE TO ILLUSTRATE CLEARLY AND RIGOROUSLY THE KNOWN NUMERICAL METHODS, THEIR THEORETICAL PROPERTIES AND THE RELATED ALGORITHMS, AND HE SHOULD TO EXPLAIN THE PERFORMANCES OF THE NUMERICAL METHODS APPLIED TO SPECIFIC PROBLEMS. HE WILL BE ABLE TO WRITE THE INTERNAL AND THE EXTERNAL DOCUMENTATION OF THE DEVELOPED SOFTWARE. 5.ABILITY TO LEARN THE COURSE WILL PROVIDE THE BASIC MEANS TO LEARN AND ANALYZE NEW NUMERICAL METHODS AND TO USE OR DEVELOP NEW SOFTWARE OF SCIENTIFIC COMPUTING. |
| Prerequisites | |
|---|---|
| THEORY OF ORDINARY DIFFERENTIAL EQUATIONS. PROGRAMMING PRINCIPLES. BASIC NOTIONS OF PROGRAMMING LANGUAGES C AND MATLAB. |
| Contents | |
|---|---|
| NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS: BASIC NOTIONS OF THEORY. GENERAL INFORMATION ON NUMERICAL TREATMENT OF SECOND ORDER LINEAR PARTIAL DIFFERENTIAL EQUATIONS. FINITE DIFFERENCE METHODS. WEAK FORM OF A DIFFERENTIAL PROBLEM. POLYNOMIAL APPROXIMATION. GALERKIN AND COLLOCATION METHODS. FINITE ELEMENT METHOD FOR ELLIPTIC AND HYPERBOLIC EQUATIONS. |
| Teaching Methods | |
|---|---|
| LECTURES, EXERCISES IN LABORATORY, DEVELOPMENT OF MATHEMATICAL SOFTWARE |
| Verification of learning | |
|---|---|
| 1) IN-DEPTH SEMINARS GIVEN BY THE STUDENTS ON SOME TOPICS OF THE COURSE 2) ORAL EXAMINATION ON THE CONTENTS OF THE COURSE |
| Texts | |
|---|---|
| ISAACSON, H.KELLER- ANALYSIS OF NUMERICAL METHODS - J. WILEY SONS. ALFIO QUARTERONI – MODELLISTICA NUMERICA PER PROBLEMI DIFFERENZIALI, SPRINGER |
| More Information | |
|---|---|
| BEAPAT@UNISA.IT; ANCARDONE@UNISA.IT |
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