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Course unit
NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS
INP5070378, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
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 |
Examination board
Board |
From |
To |
Members of the board |
5 2018 |
01/10/2018 |
30/11/2019 |
BERGAMASCHI
LUCA
(Presidente)
FERRONATO
MASSIMILIANO
(Membro Effettivo)
JANNA
CARLO
(Supplente)
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Prerequisites:
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Numerical Analysis, Linear Algebra, Differential and integral calculus of functions of several variables |
Target skills and knowledge:
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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:
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Computer implementation of a numerical project. Oral examination. |
Assessment criteria:
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Critical knowledge of the course topics. Ability to present the studied material. Discussion of the student project. |
Course unit contents:
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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:
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Lectures. Students are required to work on computer implementation of the techniques introduced in the course lectures. |
Additional notes about suggested reading:
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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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Giuseppe Gambolati, Massimiliano Ferronato, Lezioni di Metodi Numerici per l'Ingegneria. Padova: Libreria Progetto, 2015.
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A. Quarteroni, Numerical Models for Differential Equations. --: Springer, 2014. Free download online
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