This course gives you an introduction to modeling methods and simulation tools for a wide range of natural phenomena. The different methodologies that will be presented here can be applied to very wide range of topics such as fluid motion, stellar dynamics, population evolution, ... This course does not intend to go deeply into any numerical method or process and does not provide any recipe for the resolution of a particular problem. It is rather a basic guideline towards different methodologies that can be applied to solve any kind of problem and help you pick the one best suited for you.
The assignments of this course will be made as practical as possible in order to allow you to actually create from scratch short programs that will solve simple problems. Although programming will be used extensively in this course we do not require any advanced programming experience in order to complete it.
提供：
ジュネーヴ大学（University of Geneva）
11,210 登録済み
シラバス - 本コースの学習内容
週
12時間で修了
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件のビデオ （合計85分）, 1 reading, 1 quiz
7件のビデオ
Modeling and Simulation13 分
Modeling Space and Time15 分
Example of bio-medical Modeling9 分
Monte Carlo methods I9 分
Monte Carlo methods II15 分
Monte Carlo methods III10 分
1件の学習用教材
Course slides10 分
1の練習問題
Introduction and general concepts8 分
週
22時間で修了
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件のビデオ （合計94分）, 2 readings, 3 quizzes
12件のビデオ
Concepts of code optimization6 分
Concepts of parallelism4 分
Palabos, a parallel lattice Boltzmann solver5 分
An introduction to Python 36 分
Running a Python program6 分
Variables and data types11 分
Operators8 分
Conditional Statements7 分
Loops7 分
Functions15 分
NumPy11 分
2件の学習用教材
Course slides10 分
Dive into python 310 分
3の練習問題
Introduction to programming with Python 310 分
Project - Piles2 分
Project - Class:Integration2 分
週
33時間で修了
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件のビデオ （合計92分）, 3 readings, 3 quizzes
9件のビデオ
The random walk14 分
Growth of a population8 分
Balance equations I8 分
Balance equations II13 分
Integration of ordinary differential equations7 分
Error of the approximation8 分
The implicit Euler scheme11 分
Numerical integration of partial differential equations13 分
3件の学習用教材
Course slides10 分
References for numerical analysis10 分
A reference for the random walk10 分
3の練習問題
Dynamical systems and numerical integration8 分
The implicit Euler scheme18 分
Project - Lotka-Volterra8 分
週
42時間で修了
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件のビデオ （合計108分）, 2 readings, 2 quizzes
7件のビデオ
Historical background9 分
A mathematical abstraction of reality20 分
Cellular Automata Models for Traffic13 分
Complex systems20 分
Lattice-gas models9 分
Microdynamics of LGA17 分
2件の学習用教材
Course slides10 分
Notes on the Parity Rule10 分
2の練習問題
Cellular Automata8 分
Project - The Parity Rule6 分
週
52時間で修了
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件のビデオ （合計94分）, 1 reading, 4 quizzes
8件のビデオ
Equations and challenges9 分
From Lattice Gas to Lattice Boltzmann9 分
Macroscopic Variables13 分
Collision step: the BGK model12 分
Streaming Step8 分
Boundary Conditions21 分
Flow around an obstacle6 分
1件の学習用教材
Course slides10 分
4の練習問題
Optional - Equations and challenges2 分
Lattice Boltzmann modeling of fluid flow4 分
Project - Flow around a cylinder2 分
Collision Invariant6 分
週
62時間で修了
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件のビデオ （合計86分）, 1 reading, 2 quizzes
6件のビデオ
Newton’s laws of motion, potentials and forces15 分
Time-integration of equations of motion10 分
The Lennard-Jones potential: Introducing a cut-off distance16 分
The n-body problem: Evaluation of gravitational forces21 分
Barnes-Hut algorithm: using the quadtree16 分
1件の学習用教材
Course slides10 分
2の練習問題
Particles and point-like objects6 分
Project - Barnes-Hut Galaxy Simulator2 分
週
71時間で修了
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件のビデオ （合計70分）, 1 reading, 2 quizzes
6件のビデオ
Definition of Discrete Events Simulations8 分
Optimisation problems11 分
Implementation matters9 分
Traffic intersection12 分
Volcano ballistics19 分
1件の学習用教材
Course slides10 分
2の練習問題
Introduction to Discrete Event Simulation6 分
Project - Simple modelling of traffic lights2 分
週
82時間で修了
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件のビデオ （合計71分）, 1 reading, 2 quizzes
6件のビデオ
Motivation7 分
Agents9 分
Multi-Agent systems9 分
Implementation of Agent Based Models15 分
Ants Corpse clustering16 分
Bacteria chemotaxy12 分
1件の学習用教材
Course slides10 分
2の練習問題
Agent based models6 分
Project - Multi-agents model6 分
4.2
26件のレビュー人気のレビュー
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!
講師
Bastien Chopard
Full ProfessorComputer Science
Jean-Luc Falcone
Research AssociateComputer Science
Jonas Latt
Senior LecturerComputer Science
Orestis Malaspinas
Research AssociateComputer Science Department
ジュネーヴ大学（University of Geneva）について
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.
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