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Introduction to high performance computing for modeling

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Simulation and modeling of natural processes

Université de Genève

4.1 (101 notes) | 12K étudiants inscrits

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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4.1 (101 notes)

5 stars
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EM

Nov 18, 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!

BS

Jul 25, 2019

In depth analysis of simulating processes, from mathematics to algorithms.

À partir de la leçon

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.

Introduction to high performance computing for modeling4:27

Enseigné par

Bastien Chopard
Full Professor
Jean-Luc Falcone
Research Associate
Jonas Latt
Senior Lecturer
Orestis Malaspinas
Research Associate

Transcription

[MUSIC]

Hello, my name is Orestis Malaspinas and I would like to welcome you to

the MOOC entitled Simulation and Modeling of Natural Processes.

This week course intends to make an introduction to programming in general,

and in particular we would like to introduce you to the programming with

Python three which will be the main language use throughout this course.

Before going into details,

we will first make an introduction to high performance computing for

modeling which is a very important thing to know when we are doing modeling.

Before going into the concepts of high performance computing,

we want first to understand why we need programming in this course.

The aim of this course is to represent nature.

To represent nature we want to translate nature into a mathematical model,

which is, first, a complex task, and then gives also complex mathematical models.

Usually these models are not tractable, analytically, or

even when we find an analytical solution,

there is no fast enough way to compute the solution.

So what can we do?

The first step is to use a numerical method to approximate

our mathematical model.

These allow us to transform a very complex system into something

that is still complex, but is really only

a system when we need to do a large amount of computations.

This is exactly what computers are good at.

We can give the computer a huge amount of computations to do and

it can do it very fast.

So, what should we do when we do a good model?

First, we should be accurate enough.

So our model should really represent the natural phenomenon of interest.

Second, and this is what we are going to talk in more detail in this module,

we have to produce a result in a reasonable amount of time.

We cannot wait for an unknown long time to have a result.

It would not be usable in practice.

So how can a computer model become faster?

One possibility Is just to wait for the computers to become faster.

As we have been accustomed to for the last 50 years or

so, computers are increasing their

performance in a really fast way, an exponential, actually, way.

This is starting to slow down a bit.

But anyway it is not a good way to think, to just wait.

Another way to do it is to optimize the algorithm of our computer model,

to make an algorithm that performs the same task with less computations.

Finally, and this is exactly what we are going to talk about, that you can also

write your algorithm as a computer program in an efficient way.

In computer science,

there are many different ways to give orders to your computer.

The way you are going to give them can influence

the performance of the computer program.

Okay.

So this ends the first module on Introduction to

High Performance Computing, and

our next module is on concepts of code optimization.

Thank you for your attention.

[MUSIC]

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