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. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
MATHEMATICAL ENGINEERING (Ord. 2017)
IN2191, Degree course structure A.Y. 2017/18, A.Y. 2017/18
N0
bring this page
with you
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

Mode of delivery (when and how)
Period First semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 02/10/2017
End of activities 19/01/2018

Syllabus
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 textbook and lecture notes.
Textbooks (and optional supplementary readings)
  • Giuseppe Gambolati, Massimiliano Ferronato, Lezioni di Metodi Numerici per l'Ingegneria. Padova: Libreria Progetto, 2015. Cerca nel catalogo