Dajana CONTE | CALCOLO SCIENTIFICO
Dajana CONTE CALCOLO SCIENTIFICO
cod. 0522200045
CALCOLO SCIENTIFICO
| 0522200045 | |
| DIPARTIMENTO DI MATEMATICA | |
| EQF7 | |
| MATHEMATICS | |
| 2019/2020 |
| OBBLIGATORIO | |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2018 | |
| PRIMO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| MAT/08 | 6 | 48 | LESSONS |
| Objectives | |
|---|---|
| KNOWLEDGE AND UNDERSTANDING: THE AIM OF THE COURSE IS THE THEORETICAL KNOWLEDGE AND CRITICAL ANALYSIS OF THE MAIN NUMERICAL METHODS FOR THE SOLUTION OF PROBLEMS MODELED BY ORDINARY DIFFERENTIAL EQUATIONS, TOGETHER WITH THE DEVELOPMENT OF THE CORRESPONDING MATHEMATICAL SOFTWARE. PART OF THE COURSE WILL DEAL WITH THE STUDY OF ELEMENTS OF PARALLEL CALCULUS FOR LINEAR ALGEBRA. APPLYING KNOWLEDGE AND UNDERSTANDING: THE AIM OF THE COURSE IS TO MAKE THE STUDENT CAPABLE TO SOLVE PROBLEMS OF SCIENTIFIC COMPUTING MODELED BY ORDINARY DIFFERENTIAL EQUATIONS BY DEVELOPING AND USING MATHEMATICAL SOFTWARE AND SUITABLE CALCULUS ENVIRONMENTS, TEACHING HIM TO CHOOSE THE MORE APPROPRIATE NUMERICAL METHOD TO SOLVE THE PROBLEM UNDER EXAMINATION. EXAMPLES WHOSE RESOLUTION REQUIRES THE USAGE OF THE DESCRIBED METHODS WILL BE FURNISHED. |
| Prerequisites | |
|---|---|
| THEORY OF ORDINARY DIFFERENTIAL EQUATIONS. BASICS ON PROGRAMMING LANGUAGES MATLAB AND C. |
| Contents | |
|---|---|
| DIFFERENCE EQUATIONS. NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS: ANALYTICAL APPROXIMATION METHODS, LNEAR MULTISTEP METHODS, PREDICTOR CORRECTOR METHODS, BDF METHODS, RUNGE-KUTTA METHODS, ERROR ESTIMATIONS, CONSISTENCY, CONVERGENCE, ZERO-STABILITY. THEORY OF WEAK STABILITY. STIFF SYSTEMS. STRUCTURE OF A VARIABLE STEPSIZE ALGORITHM. STARTING PROCEDURES. LOCAL TRUNCATION ERROR ESTIMATION. STRATEGIES FOR STEPSIZE CHANGING. MATHEMATICAL SOFTWARE EVALUATION. |
| Teaching Methods | |
|---|---|
| LECTURES,PRACTICES,LABORATORY, PROJECTS ON DEVELOPMENT OF MATHEMATICAL SOFTWARE |
| Verification of learning | |
|---|---|
| THE FINAL EXAM CONSISTS IN THE DISCUSSION OF A PRACTICAL PART IN THE LABORATORY AND AN ORAL PART ON THE CONTENTS OF THE COURSE. THE PRACTICAL PARTY REGARDS THE USE OF THE MATHEMATICAL SOFTWARE DEVELOPED DURING THE TEACHING, TO BE APPLIED TO CERTAIN TEST PROBLEMS BASED ON ORDINARY DIFFERENTIAL EQUATIONS, TO CHECK THE ABILITY TO APPLY THE ACQUIRED KNOWLEDGE. THE ORAL PART REGARDS THE THEORETICAL CONTENTS OF TEACHING, IN ORDER TO CHECK THE ABILITY TO ANALYZING AND PRESENTING WITH RIGOR THE PROPERTIES OF NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS PRESENTED DURING THE LESSONS. |
| Texts | |
|---|---|
| J.D.LAMBERT, NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL SYSTEMS, J. WILEY & SONS, 1991. HAIRER, LUBICH, WANNER, GEOMETRIC NUMERICAL INTEGRATION, SPRINGER |
| More Information | |
|---|---|
| TEACHERS' E-MAIL: BEAPAT@UNISA.IT, DAJCONTE@UNISA.IT |
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