课程信息
13,205

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完成时间大约为31 小时

建议:6 hours/week...

英语(English)

字幕:英语(English)

100% 在线

立即开始,按照自己的计划学习。

可灵活调整截止日期

根据您的日程表重置截止日期。

完成时间大约为31 小时

建议:6 hours/week...

英语(English)

字幕:英语(English)

教学大纲 - 您将从这门课程中学到什么

1
完成时间为 2 小时

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 个视频 (总计 85 分钟), 1 个阅读材料, 1 个测验
7 个视频
Modeling and Simulation13分钟
Modeling Space and Time15分钟
Example of bio-medical Modeling9分钟
Monte Carlo methods I9分钟
Monte Carlo methods II15分钟
Monte Carlo methods III10分钟
1 个阅读材料
Course slides10分钟
1 个练习
Introduction and general concepts8分钟
2
完成时间为 2 小时

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 个视频 (总计 94 分钟), 2 个阅读材料, 3 个测验
12 个视频
Concepts of code optimization6分钟
Concepts of parallelism4分钟
Palabos, a parallel lattice Boltzmann solver5分钟
An introduction to Python 36分钟
Running a Python program6分钟
Variables and data types11分钟
Operators8分钟
Conditional Statements7分钟
Loops7分钟
Functions15分钟
NumPy11分钟
2 个阅读材料
Course slides10分钟
Dive into python 310分钟
3 个练习
Introduction to programming with Python 310分钟
Project - Piles2分钟
Project - Class:Integration2分钟
3
完成时间为 3 小时

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 个视频 (总计 92 分钟), 3 个阅读材料, 3 个测验
9 个视频
The random walk14分钟
Growth of a population8分钟
Balance equations I8分钟
Balance equations II13分钟
Integration of ordinary differential equations7分钟
Error of the approximation8分钟
The implicit Euler scheme11分钟
Numerical integration of partial differential equations13分钟
3 个阅读材料
Course slides10分钟
References for numerical analysis10分钟
A reference for the random walk10分钟
3 个练习
Dynamical systems and numerical integration8分钟
The implicit Euler scheme18分钟
Project - Lotka-Volterra8分钟
4
完成时间为 2 小时

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 个视频 (总计 108 分钟), 2 个阅读材料, 2 个测验
7 个视频
Historical background9分钟
A mathematical abstraction of reality20分钟
Cellular Automata Models for Traffic13分钟
Complex systems20分钟
Lattice-gas models9分钟
Microdynamics of LGA17分钟
2 个阅读材料
Course slides10分钟
Notes on the Parity Rule10分钟
2 个练习
Cellular Automata8分钟
Project - The Parity Rule6分钟
5
完成时间为 2 小时

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 个视频 (总计 94 分钟), 1 个阅读材料, 4 个测验
8 个视频
Equations and challenges9分钟
From Lattice Gas to Lattice Boltzmann9分钟
Macroscopic Variables13分钟
Collision step: the BGK model12分钟
Streaming Step8分钟
Boundary Conditions21分钟
Flow around an obstacle6分钟
1 个阅读材料
Course slides10分钟
4 个练习
Optional - Equations and challenges2分钟
Lattice Boltzmann modeling of fluid flow4分钟
Project - Flow around a cylinder2分钟
Collision Invariant6分钟
6
完成时间为 2 小时

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 个视频 (总计 86 分钟), 1 个阅读材料, 2 个测验
6 个视频
Newton’s laws of motion, potentials and forces15分钟
Time-integration of equations of motion10分钟
The Lennard-Jones potential: Introducing a cut-off distance16分钟
The n-body problem: Evaluation of gravitational forces21分钟
Barnes-Hut algorithm: using the quadtree16分钟
1 个阅读材料
Course slides10分钟
2 个练习
Particles and point-like objects6分钟
Project - Barnes-Hut Galaxy Simulator2分钟
7
完成时间为 1 小时

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 个视频 (总计 70 分钟), 1 个阅读材料, 2 个测验
6 个视频
Definition of Discrete Events Simulations8分钟
Optimisation problems11分钟
Implementation matters9分钟
Traffic intersection12分钟
Volcano ballistics19分钟
1 个阅读材料
Course slides10分钟
2 个练习
Introduction to Discrete Event Simulation6分钟
Project - Simple modelling of traffic lights2分钟
8
完成时间为 2 小时

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 个视频 (总计 71 分钟), 1 个阅读材料, 2 个测验
6 个视频
Motivation7分钟
Agents9分钟
Multi-Agent systems9分钟
Implementation of Agent Based Models15分钟
Ants Corpse clustering16分钟
Bacteria chemotaxy12分钟
1 个阅读材料
Course slides10分钟
2 个练习
Agent based models6分钟
Project - Multi-agents model6分钟
4.1
26 个审阅Chevron Right

热门审阅

创建者 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!

讲师

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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

关于 日内瓦大学

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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