課程信息
4.2
62 ratings
16 reviews
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....
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立即開始,按照自己的計劃學習。
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建議:6 hours/week

完成時間大約為30 小時
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English

字幕:English
Globe

100% 在線課程

立即開始,按照自己的計劃學習。
Calendar

可靈活調整截止日期

根據您的日程表重置截止日期。
Clock

建議:6 hours/week

完成時間大約為30 小時
Comment Dots

English

字幕:English

教學大綱 - 您將從這門課程中學到什麼

1

章節
Clock
完成時間為 2 小時

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....
Reading
7 個視頻(共 85 分鐘), 1 個閱讀材料, 1 個測驗
Video7 個視頻
Modeling and Simulation13分鐘
Modeling Space and Time15分鐘
Example of bio-medical Modeling9分鐘
Monte Carlo methods I9分鐘
Monte Carlo methods II15分鐘
Monte Carlo methods III10分鐘
Reading1 個閱讀材料
Course slides10分鐘
Quiz1 個練習
Introduction and general concepts8分鐘

2

章節
Clock
完成時間為 2 小時

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....
Reading
12 個視頻(共 94 分鐘), 2 個閱讀材料, 3 個測驗
Video12 個視頻
Concepts of code optimization6分鐘
Concepts of parallelism4分鐘
Palabos, a parallel lattice Boltzmann solver5分鐘
An introduction to Python 36分鐘
Running a Python program6分鐘
Variables and data types11分鐘
Operators8分鐘
Conditional Statements7分鐘
Loops7分鐘
Functions15分鐘
NumPy11分鐘
Reading2 個閱讀材料
Course slides10分鐘
Dive into python 310分鐘
Quiz3 個練習
Introduction to programming with Python 310分鐘
Project - Piles2分鐘
Project - Class:Integration2分鐘

3

章節
Clock
完成時間為 3 小時

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....
Reading
9 個視頻(共 92 分鐘), 3 個閱讀材料, 3 個測驗
Video9 個視頻
The random walk14分鐘
Growth of a population8分鐘
Balance equations I8分鐘
Balance equations II13分鐘
Integration of ordinary differential equations7分鐘
Error of the approximation8分鐘
The implicit Euler scheme11分鐘
Numerical integration of partial differential equations13分鐘
Reading3 個閱讀材料
Course slides10分鐘
References for numerical analysis10分鐘
A reference for the random walk10分鐘
Quiz3 個練習
Dynamical systems and numerical integration8分鐘
The implicit Euler scheme18分鐘
Project - Lotka-Volterra8分鐘

4

章節
Clock
完成時間為 2 小時

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....
Reading
7 個視頻(共 108 分鐘), 2 個閱讀材料, 2 個測驗
Video7 個視頻
Historical background9分鐘
A mathematical abstraction of reality20分鐘
Cellular Automata Models for Traffic13分鐘
Complex systems20分鐘
Lattice-gas models9分鐘
Microdynamics of LGA17分鐘
Reading2 個閱讀材料
Course slides10分鐘
Notes on the Parity Rule10分鐘
Quiz2 個練習
Cellular Automata8分鐘
Project - The Parity Rule6分鐘
4.2

熱門審閱

創建者 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!

創建者 ARApr 18th 2018

Excellent course for people who love math, physics and simulations ! I choose it to get an insight on Lattice Boltzmann Method, I was happy to apply it and extend it to other cases.

講師

Bastien Chopard

Full Professor
Computer Science

Jean-Luc Falcone

Research Associate
Computer Science

Jonas Latt

Senior Lecturer
Computer Science

Orestis Malaspinas

Research Associate
Computer Science Department

關於 University of Geneva

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....

常見問題

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

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