Course Unit Page
-
Teacher Filippo Zaniboni
-
Learning modules Stefano Tinti (Modulo 1)
Filippo Zaniboni (Modulo 2)
-
Credits 6
-
SSD GEO/10
-
Teaching Mode Traditional lectures (Modulo 1)
Traditional lectures (Modulo 2)
-
Language Italian
-
Campus of Bologna
-
Degree Programme Second cycle degree programme (LM) in Physics of the Earth System (cod. 8626)
-
Course Timetable from Sep 23, 2021 to Dec 23, 2021
SDGs
This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.
Academic Year 2021/2022
Learning outcomes
At the end of the course, students will possess basic knowledge of the numerical techniques used in Geophysics. Particularly, students will be able:
- to apply explicit methods to solve ordinary differential equations and partial differential equations;
- to compute the propagation of waves through simple numerical models developed in the MATLAB environment.
Course contents
Teaching Unit 1 (Theory, Prof. Tinti)
Discretization methods of ordinary differential equations based on finite-difference schemes. Implicit and explicit multi-step methods. Runge-Kutta methods. Accuracy.
Partial differential equations. Parabolic and hyperbolic systems. Transport equation. Method of characteristics. Discrete differential operators. Stability analysis. Equation of heat transfer. Equation of waves propagation. Application to propagation of long ocean waves. Staggered grids technique.
Teaching Unit 2 (Laboratory, Dott. Zaniboni)
Application of numerical methods described in Teaching Unit 1 to cases of ordinary and partial differential equations.
The students will learn to develop on their own PC (or on one available in laboratory) the numerical codes for the implementation of such methods and the representation of the results. Such activity will be carried out by means of MatLab software (alternatively Octave).
Readings/Bibliography
Teaching Unit 1 (Theory, Prof. Tinti)
Lecture notes.
Teaching Unit 2 (Laboratory, Dott. Zaniboni)
Outline of the exercises performed in laboratory.
Teaching methods
Teaching Unit 1 (Theory, Prof. Tinti)
Classroom lectures
Teaching Unit 2 (Laboratory, Dott. Zaniboni)
Laboratory exercises carried out on own computer.
Assessment methods
The final test is joint for the two teaching units, exclusively oral, which duration ranges between one hour and one hour and half.
It consists of examination concerning theory as well as the numerical tests carried out in the laboratory.
The numerical codes for the resolution of the differential equations developed in laboratory will be shown, commented and run.
Teaching tools
Projector; PC and MATLAB (or Octave).
Office hours
See the website of Filippo Zaniboni
See the website of Stefano Tinti
Alumni