À propos de ce cours
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Approx. 32 heures pour terminer

Recommandé : 6 hours/week...

Anglais

Sous-titres : Anglais

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Commencez dès maintenant et apprenez aux horaires qui vous conviennent.

Dates limites flexibles

Réinitialisez les dates limites selon votre disponibilité.

Approx. 32 heures pour terminer

Recommandé : 6 hours/week...

Anglais

Sous-titres : Anglais

Programme du cours : ce que vous apprendrez dans ce cours

Semaine
1
2 heures pour terminer

Introduction and general concepts

This module gives an overview of the course and presents the general ideas about modeling and simulation. An emphasis is given on ways to represent space and time from a conceptual point of view. An insight of modeling of complex systems is given with the simulation of the grothw and thrombosis of giant aneurysms. Finally, a first class of modeling approaches is presented: the Monte-Carlo methods....
7 vidéos (Total 85 min), 1 lecture, 1 quiz
7 vidéos
Modeling and Simulation13 min
Modeling Space and Time15 min
Example of bio-medical Modeling9 min
Monte Carlo methods I9 min
Monte Carlo methods II15 min
Monte Carlo methods III10 min
1 lecture
Course slides10 min
1 exercice pour s'entraîner
Introduction and general concepts8 min
Semaine
2
2 heures pour terminer

Introduction to programming with Python 3

This module intends to provide the most basic concepts of high performance computing used for modeling purposes. It also aims at teaching the basics of Python 3 which will be the programming language used for the quizzes in this course....
12 vidéos (Total 94 min), 2 lectures, 3 quiz
12 vidéos
Concepts of code optimization6 min
Concepts of parallelism4 min
Palabos, a parallel lattice Boltzmann solver5 min
An introduction to Python 36 min
Running a Python program6 min
Variables and data types11 min
Operators8 min
Conditional Statements7 min
Loops7 min
Functions15 min
NumPy11 min
2 lectures
Course slides10 min
Dive into python 310 min
3 exercices pour s'entraîner
Introduction to programming with Python 310 min
Project - Piles2 min
Project - Class:Integration2 min
Semaine
3
3 heures pour terminer

Dynamical systems and numerical integration

Dynamical systems modeling is the principal method developed to study time-space dependent problems. It aims at translating a natural phenomenon into a mathematical set of equations. Once this basic step is performed the principal obstacle is the actual resolution of the obtained mathematical problem. Usually these equations do not possess an analytical solution and advanced numerical methods must be applied to solve them. In this module you will learn the basics of how to write mathematical equations representing natural phenomena and then how to numerically solve them....
9 vidéos (Total 92 min), 3 lectures, 3 quiz
9 vidéos
The random walk14 min
Growth of a population8 min
Balance equations I8 min
Balance equations II13 min
Integration of ordinary differential equations7 min
Error of the approximation8 min
The implicit Euler scheme11 min
Numerical integration of partial differential equations13 min
3 lectures
Course slides10 min
References for numerical analysis10 min
A reference for the random walk10 min
3 exercices pour s'entraîner
Dynamical systems and numerical integration8 min
The implicit Euler scheme18 min
Project - Lotka-Volterra8 min
Semaine
4
2 heures pour terminer

Cellular Automata

This module defines the concept of cellular automata by outlining the basic building blocks of this method. Then an insight of how to apply this technique to natural phenomena is given. Finally the lattice gas automata, a subclass of models used for fluid flows, is presented....
7 vidéos (Total 108 min), 2 lectures, 2 quiz
7 vidéos
Historical background9 min
A mathematical abstraction of reality20 min
Cellular Automata Models for Traffic13 min
Complex systems20 min
Lattice-gas models9 min
Microdynamics of LGA17 min
2 lectures
Course slides10 min
Notes on the Parity Rule10 min
2 exercices pour s'entraîner
Cellular Automata8 min
Project - The Parity Rule6 min
Semaine
5
2 heures pour terminer

Lattice Boltzmann modeling of fluid flow

This module provides an introduction to the lattice Boltzmann method, a powerful tool in computational fluid dynamics. The lesson is practice oriented and show, step by step, how to write a program for the lattice Boltzmann method. The program is used to showcase an interesting problem in fluid dynamics, the simulation of a vortex street behind an obstacle....
8 vidéos (Total 94 min), 1 lecture, 4 quiz
8 vidéos
Equations and challenges9 min
From Lattice Gas to Lattice Boltzmann9 min
Macroscopic Variables13 min
Collision step: the BGK model12 min
Streaming Step8 min
Boundary Conditions21 min
Flow around an obstacle6 min
1 lecture
Course slides10 min
4 exercices pour s'entraîner
Optional - Equations and challenges2 min
Lattice Boltzmann modeling of fluid flow4 min
Project - Flow around a cylinder2 min
Collision Invariant6 min
Semaine
6
2 heures pour terminer

Particles and point-like objects

A short review of classical mechanics, and of numerical methods used to integrate the equations of motions for many interacting particles is presented. The student will learn that the computational expense of resolving all interaction between particles poses a major obstacle to simulating such a system. Specific algorithms are presented to allow to cut down on computational expense, both for short-range and large-range forces. The module focuses in detail on the Barnes-Hut algorithm, a tree algorithm which is popular a popular approach to solve the N-Body problem....
6 vidéos (Total 86 min), 1 lecture, 2 quiz
6 vidéos
Newton’s laws of motion, potentials and forces15 min
Time-integration of equations of motion10 min
The Lennard-Jones potential: Introducing a cut-off distance16 min
The n-body problem: Evaluation of gravitational forces21 min
Barnes-Hut algorithm: using the quadtree16 min
1 lecture
Course slides10 min
2 exercices pour s'entraîner
Particles and point-like objects6 min
Project - Barnes-Hut Galaxy Simulator2 min
Semaine
7
1 heure pour terminer

Introduction to Discrete Events Simulation

In this module, we will see an alternative approach to model systems which display a trivial behaviour most of the time, but which may change significantly under a sequence of discrete events. Initially developed to simulate queue theory systems (such as consumer waiting queue), the Discrete Event approach has been apply to a large variety of problems, such as traffic intersection modeling or volcanic hazard predictions....
6 vidéos (Total 70 min), 1 lecture, 2 quiz
6 vidéos
Definition of Discrete Events Simulations8 min
Optimisation problems11 min
Implementation matters9 min
Traffic intersection12 min
Volcano ballistics19 min
1 lecture
Course slides10 min
2 exercices pour s'entraîner
Introduction to Discrete Event Simulation6 min
Project - Simple modelling of traffic lights2 min
Semaine
8
2 heures pour terminer

Agent based models

Agent Based Models (ABM) are used to model a complex system by decomposing it in small entities (agents) and by focusing on the relations between agents and with the environment. This approach is derived from artificial intelligence research and is currently used to model various systems such as pedestrian behaviour, social insects, biological cells, etc....
6 vidéos (Total 71 min), 1 lecture, 2 quiz
6 vidéos
Agents9 min
Multi-Agent systems9 min
Implementation of Agent Based Models15 min
Ants Corpse clustering16 min
Bacteria chemotaxy12 min
1 lecture
Course slides10 min
2 exercices pour s'entraîner
Agent based models6 min
Project - Multi-agents model6 min
4.2
26 avisChevron Right

Meilleurs avis

par EMNov 18th 2017

This course was a perfect match with my expectations! I think it is a perfect introduction to Computer modeling of natural processes. I enjoyed lectures and tasks. Thank you very much!

Enseignants

Avatar

Bastien Chopard

Full Professor
Computer Science
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Jean-Luc Falcone

Research Associate
Computer Science
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Jonas Latt

Senior Lecturer
Computer Science
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Orestis Malaspinas

Research Associate
Computer Science Department

À propos de Université de Genève

Founded in 1559, the University of Geneva (UNIGE) is one of Europe's leading universities. Devoted to research, education and dialogue, the UNIGE shares the international calling of its host city, Geneva, a centre of international and multicultural activities with a venerable cosmopolitan tradition....

Foire Aux Questions

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