| First cycle degree courses | Second cycle degree courses | Single cycle degree courses |
| School of Engineering | ||
| MATHEMATICAL ENGINEERING | ||
Course unit
NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS
INP5070378, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS
INP5070378, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
Information on the course unit
| Degree course |
Second cycle degree in MATHEMATICAL ENGINEERING IN2191, Degree course structure A.Y. 2017/18, A.Y. 2019/20 |
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|---|---|---|
| Degree course track | Common track | |
| Number of ECTS credits allocated | 6.0 | |
| Type of assessment | Mark | |
| Course unit English denomination | NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS | |
| Department of reference | Department of Civil, Environmental and Architectural Engineering | |
| Mandatory attendance | No | |
| Language of instruction | English | |
| Branch | PADOVA | |
| Single Course unit | The Course unit can be attended under the option Single Course unit attendance | |
| Optional Course unit | The Course unit can be chosen as Optional Course unit |
Lecturers
| Teacher in charge | LUCA BERGAMASCHI | MAT/08 |
|---|
ECTS: details
| Type | Scientific-Disciplinary Sector | Credits allocated | |
|---|---|---|---|
| Core courses | MAT/08 | Numerical Analysis | 6.0 |
Course unit organization
| Period | First semester |
|---|---|
| Year | 1st Year |
| Teaching method | frontal |
| Type of hours | Credits | Teaching hours |
Hours of Individual study |
Shifts |
|---|---|---|---|---|
| Lecture | 6.0 | 48 | 102.0 | No turn |
| Start of activities | 30/09/2019 |
|---|---|
| End of activities | 18/01/2020 |
| Show course schedule | 2019/20 Reg.2017 course timetable |
| Prerequisites: | Numerical Analysis, Linear Algebra, Differential and integral calculus of functions of several variables |
| Target skills and knowledge: | Introduce the Mathematical Engineering students to the fundamental topics for the numerical solution of elliptic and parabolic PDEs discretized Finite Difference and Finite Element methods. Further focus on iterative methods for the solution fo the discretized large and sparse linear systems. |
| Examination methods: | Computer implementation of a numerical project. Oral examination. |
| Assessment criteria: | Critical knowledge of the course topics. Ability to present the studied material. Discussion of the student project. |
| Course unit contents: | Course introduction. Solution of sparse large-size linear systems: projective methods. Solution of ordinary differential equations: finite difference methods, stability and convergence. Solution of 2nd order ellptic/parabolic partial differential equations (PDE): classification, variational methods, finite elements, transient problems. Numerical solution of the diffusion and heat diffusion equations. Numerical project. |
| Planned learning activities and teaching methods: | Lectures. Students are required to work on computer implementation of the techniques introduced in the course lectures. |
| Additional notes about suggested reading: | Reference textbooks, lecture notes and some files uploaded by the teacher on the course Moodle page as well as suggested notes freely downloadable from internet. |
| Textbooks (and optional supplementary readings) |
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