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<!doctype html> <html lang=en > <meta charset=UTF-8 > <meta name=viewport content="width=device-width, initial-scale=1"> <script src="/libs/lunr/lunr.min.js"></script> <script src="/libs/lunr/lunr_index.js"></script> <script src="/libs/lunr/lunrclient.min.js"></script> <link rel=stylesheet href="/css/franklin.css"> <link rel=stylesheet href="/css/poole_hyde.css"> <link rel=stylesheet href="/css/custom.css"> <style> html {font-size: 17px;} .franklin-content {position: relative; padding-left: 8%; padding-right: 5%; line-height: 1.35em;} @media (min-width: 940px) { .franklin-content {width: 100%; margin-left: auto; margin-right: auto;} } @media (max-width: 768px) { .franklin-content {padding-left: 6%; padding-right: 6%;} } </style> <link rel=icon href="/assets/favicon.png"> <title>404: File not found</title> <style> .content {max-width: 50rem} </style> <div class=sidebar > <div class="container sidebar-sticky"> <div class=sidebar-about > <img src="/assets/vaw_logo.png" style="width: 180px; height: auto; display: inline"> <div style="font-weight: margin-bottom: 0.5em"><a href="/"> Fall 2024</a> <span style="opacity: 0.7;">| <a href="https://www.vorlesungen.ethz.ch/Vorlesungsverzeichnis/lerneinheit.view?semkez=2024W&ansicht=KATALOGDATEN&lerneinheitId=182481&lang=en"> ETHZ 101-0250-00</a></span></div> <br> <h1><a href="/">Solving partial differential equations in parallel on GPUs</a></h1> <div style="line-height:18px; font-size: 15px; opacity: 0.85">by &nbsp; <a href="https://vaw.ethz.ch/en/people/person-detail.MjcwOTYw.TGlzdC8xOTYxLDE1MTczNjI1ODA=.html">Ludovic Räss</a>, &nbsp; <a href="https://vaw.ethz.ch/en/personen/person-detail.html?persid=124402">Mauro Werder</a>, &nbsp; <a href="https://www.cscs.ch/about/staff/">Samuel Omlin</a> & <br> <a href="https://vaw.ethz.ch/en/people/person-detail.MzAwMjIy.TGlzdC8xOTYxLDE1MTczNjI1ODA=.html">Ivan Utkin</a> </div> </div> <br> <style> </style> <nav class=sidebar-nav style="opacity: 0.9; margin-bottom: 1.2cm;"> <a class="sidebar-nav-item " href="/"><b>Welcome</b></a> <a class="sidebar-nav-item " href="/logistics/">Logistics</a> <a class="sidebar-nav-item " href="/homework/">Homework</a> <a class="sidebar-nav-item " href="/software_install/">Software install</a> <a class="sidebar-nav-item " href="/extras/">Extras</a> <br> <div class=course-section >Part 1 - Introduction</div> <a class="sidebar-nav-item " href="/lecture1/">Lecture 1 - Why Julia GPU</a> <a class="sidebar-nav-item " href="/lecture2/">Lecture 2 - PDEs & physical processes</a> <a class="sidebar-nav-item " href="/lecture3/">Lecture 3 - Solving elliptic PDEs</a> <div class=course-section >Part 2 - Solving PDEs on GPUs</div> <a class="sidebar-nav-item " href="/lecture4/">Lecture 4 - Porous convection</a> <a class="sidebar-nav-item " href="/lecture5/">Lecture 5 - Parallel computing</a> <a class="sidebar-nav-item " href="/lecture6/">Lecture 6 - GPU computing</a> <div class=course-section >Part 3 - Multi-GPU computing (projects)</div> <a class="sidebar-nav-item " href="/lecture7/">Lecture 7 - xPU computing</a> <a class="sidebar-nav-item " href="/lecture8/">Lecture 8 - Julia MPI & multi-xPU</a> <a class="sidebar-nav-item " href="/lecture9/">Lecture 9 - Multi-xPU & Projects</a> <a class="sidebar-nav-item " href="/lecture10/">Lecture 10 - Advanced optimisations</a> <div class=course-section >Final Projects</div> <a class="sidebar-nav-item " href="/final_proj/">Infos about final projects</a> </nav> <form id=lunrSearchForm name=lunrSearchForm > <input class=search-input name=q placeholder="Enter search term" type=text > <input type=submit value=Search formaction="/search/index.html"> </form> <br> <br> </div> </div> <div class="content container"> <div class=franklin-content ><h1 id=404_file_not_found ><a href="#404_file_not_found" class=header-anchor >404: File not found</a></h1> <p>The requested file was not found.</p> <p>Please <a href="/">click here</a> to go to the home page.</p> <div class=page-foot > <div class=copyright > <a href="https://github.com/eth-vaw-glaciology/course-101-0250-00/"><b>Edit this page on <img class=github-logo src="https://unpkg.com/[email protected]/dist/svg/logo-github.svg"></b></a><br> Last modified: September 16, 2024. Website built with <a href="https://github.com/tlienart/Franklin.jl">Franklin.jl</a> and the <a href="https://julialang.org">Julia programming language</a>. </div> </div> </div> </div>
<!doctype html> <html lang=en > <meta charset=UTF-8 > <meta name=viewport content="width=device-width, initial-scale=1"> <script src="/libs/lunr/lunr.min.js"></script> <script src="/libs/lunr/lunr_index.js"></script> <script src="/libs/lunr/lunrclient.min.js"></script> <link rel=stylesheet href="/css/franklin.css"> <link rel=stylesheet href="/css/poole_hyde.css"> <link rel=stylesheet href="/css/custom.css"> <style> html {font-size: 17px;} .franklin-content {position: relative; padding-left: 8%; padding-right: 5%; line-height: 1.35em;} @media (min-width: 940px) { .franklin-content {width: 100%; margin-left: auto; margin-right: auto;} } @media (max-width: 768px) { .franklin-content {padding-left: 6%; padding-right: 6%;} } </style> <link rel=icon href="/assets/favicon.png"> <title>404: File not found</title> <style> .content {max-width: 50rem} </style> <div class=sidebar > <div class="container sidebar-sticky"> <div class=sidebar-about > <img src="/assets/vaw_logo.png" style="width: 180px; height: auto; display: inline"> <div style="font-weight: margin-bottom: 0.5em"><a href="/"> Fall 2024</a> <span style="opacity: 0.7;">| <a href="https://www.vorlesungen.ethz.ch/Vorlesungsverzeichnis/lerneinheit.view?semkez=2024W&ansicht=KATALOGDATEN&lerneinheitId=182481&lang=en"> ETHZ 101-0250-00</a></span></div> <br> <h1><a href="/">Solving partial differential equations in parallel on GPUs</a></h1> <div style="line-height:18px; font-size: 15px; opacity: 0.85">by &nbsp; <a href="https://vaw.ethz.ch/en/people/person-detail.MjcwOTYw.TGlzdC8xOTYxLDE1MTczNjI1ODA=.html">Ludovic Räss</a>, &nbsp; <a href="https://vaw.ethz.ch/en/personen/person-detail.html?persid=124402">Mauro Werder</a>, &nbsp; <a href="https://www.cscs.ch/about/staff/">Samuel Omlin</a> & <br> <a href="https://vaw.ethz.ch/en/people/person-detail.MzAwMjIy.TGlzdC8xOTYxLDE1MTczNjI1ODA=.html">Ivan Utkin</a> </div> </div> <br> <style> </style> <nav class=sidebar-nav style="opacity: 0.9; margin-bottom: 1.2cm;"> <a class="sidebar-nav-item " href="/"><b>Welcome</b></a> <a class="sidebar-nav-item " href="/logistics/">Logistics</a> <a class="sidebar-nav-item " href="/homework/">Homework</a> <a class="sidebar-nav-item " href="/software_install/">Software install</a> <a class="sidebar-nav-item " href="/extras/">Extras</a> <br> <div class=course-section >Part 1 – Introduction</div> <a class="sidebar-nav-item " href="/lecture1/">Lecture 1 – Why Julia GPU</a> <a class="sidebar-nav-item " href="/lecture2/">Lecture 2 – PDEs & physical processes</a> <a class="sidebar-nav-item " href="/lecture3/">Lecture 3 – Solving elliptic PDEs</a> <div class=course-section >Part 2 – Solving PDEs on GPUs</div> <a class="sidebar-nav-item " href="/lecture4/">Lecture 4 – Porous convection</a> <a class="sidebar-nav-item " href="/lecture5/">Lecture 5 – Parallel computing</a> <a class="sidebar-nav-item " href="/lecture6/">Lecture 6 – GPU computing</a> <div class=course-section >Part 3 – Multi-GPU computing (projects)</div> <a class="sidebar-nav-item " href="/lecture7/">Lecture 7 – xPU computing</a> <a class="sidebar-nav-item " href="/lecture8/">Lecture 8 – Julia MPI & multi-xPU</a> <a class="sidebar-nav-item " href="/lecture9/">Lecture 9 – Multi-xPU & Projects</a> <a class="sidebar-nav-item " href="/lecture10/">Lecture 10 – Advanced optimisations</a> <div class=course-section >Final Projects</div> <a class="sidebar-nav-item " href="/final_proj/">Infos about final projects</a> </nav> <form id=lunrSearchForm name=lunrSearchForm > <input class=search-input name=q placeholder="Enter search term" type=text > <input type=submit value=Search formaction="/search/index.html"> </form> <br> <br> </div> </div> <div class="content container"> <div class=franklin-content ><h1 id=404_file_not_found ><a href="#404_file_not_found" class=header-anchor >404: File not found</a></h1> <p>The requested file was not found.</p> <p>Please <a href="/">click here</a> to go to the home page.</p> <div class=page-foot > <div class=copyright > <a href="https://github.com/eth-vaw-glaciology/course-101-0250-00/"><b>Edit this page on <img class=github-logo src="https://unpkg.com/[email protected]/dist/svg/logo-github.svg"></b></a><br> Last modified: September 16, 2024. Website built with <a href="https://github.com/tlienart/Franklin.jl">Franklin.jl</a> and the <a href="https://julialang.org">Julia programming language</a>. </div> </div> </div> </div>
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$\texttt{The small print of}$

# Solving partial differential equations in parallel on GPUs

## The Team

- Ludovic Räss -- _the good_
- Ludovic Räss — _the good_

- Ivan Utkin -- _the pro_
- Samuel Omlin — _the bad_

- Samuel Omlin -- _the bad_
- Mauro Werder — _the ugly_

- Mauro Werder -- _the ugly_
- Ivan Utkin — _the talking head_

- Giacomo Aloisi (Teaching Assistant)
- You Wu — _the teaching assistant_

## Logistics

All you need should be available on the course website:\
All the information should be available on the course's website:\
[https://pde-on-gpu.vaw.ethz.ch](https://pde-on-gpu.vaw.ethz.ch)

> If something is missing, ping us so we can add it (_or even better_ do a pull request\
> at [https://github.com/eth-vaw-glaciology/course-101-0250-00/](https://github.com/eth-vaw-glaciology/course-101-0250-00/))
Let's have a brief tour of the [course website](https://pde-on-gpu.vaw.ethz.ch)
> If something is missing, let us know so we can add it, or _even better_, submit a [pull request](https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/proposing-changes-to-your-work-with-pull-requests/about-pull-requests/)
> to [the course's repository](https://github.com/eth-vaw-glaciology/course-101-0250-00/)
### Discussion & help

We use the Element-chat as the main communication channel for the course, both between the teachers and the student, and hopefully also between students.
- We use the chat on Element as the main communication channel for the course
- Communication between students is encouraged
- Join [Element (https://chat.ethz.ch/)](https://chat.ethz.ch/) by logging in with you NETHZ username & password
- Login link is available on [Moodle](https://moodle-app2.let.ethz.ch/course/view.php?id=23586)
- Join the _**General**_ room for course-related information
- Join the _**Helpdesk**_ room for exercises Q&A

Join [Element (https://chat.ethz.ch/)](https://chat.ethz.ch/) by logging in with you NETHZ username & password.
- Login link is available on [Moodle](https://moodle-app2.let.ethz.ch/course/view.php?id=23586).
- Join the _**General**_ (course infos) and _**Helpdesk**_ (exercises Q&A) rooms.
## Grading

### Grading
All homework assignements can be done either alone or in groups of two. However, **note that every student has to hand in a personal version of the homework**.

- Weekly exercises 5 (out of 6) as homework (alone or groups of 2) **30%**
- Consolidation project (alone or groups of 2) **35%**
- Final project (groups of 2) **35%**
- 6 Weekly exercises in Part 1 and Part 2 of the course as homework — **30%**
- Best five out of six are graded
- Consolidation project, developed during Part 3 of the course — **35%**
- Final project — **35%**

## Computing

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- Who has access to an Nvidia / AMD GPU?
- What operating system are you on?

In the first few lecture we will use JupyterHub (accessible within Moodle) to get you started. Later we plan to get you all setup with a personal Julia installation.
In the first two lectures we will use JupyterHub. Later you will setup a personal Julia installation.

## Summary

- (Almost) All infos on [https://pde-on-gpu.vaw.ethz.ch](https://pde-on-gpu.vaw.ethz.ch)
- Get started with [Element (https://chat.ethz.ch/)](https://chat.ethz.ch/)

If some important info is missing, ping us so we can add it or make a PR.
- Almost all information is available on [https://pde-on-gpu.vaw.ethz.ch](https://pde-on-gpu.vaw.ethz.ch)
- Join [Element (https://chat.ethz.ch/)](https://chat.ethz.ch/)
- If something important is missing, let us know or make a PR

> **Suggestion:** \
> Bookmark [https://pde-on-gpu.vaw.ethz.ch](hhttps://pde-on-gpu.vaw.ethz.ch)
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# Why solve PDEs on GPUs? & The tool for the job
# Why solve PDEs on GPUs? The tool for the job

## Why solve PDEs on GPUs?

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# Tool for the job: introduction to Julia

![julia-logo](../assets/literate_figures/l1_julia-logo.png)
![julia-logo](../assets/literate_figures/l1_julia-logo.svg)

## Aside 1: Jupyter Notebooks

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## Exercise 1 - **Push-ups with memory copy**
## Exercise 1 — **Push-ups with memory copy**

👉 See [Logistics](/logistics/#submission) for submission details (this exercise doesn't need to be handed-in).

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## Exercise 2 - **Advanced data transfer optimisations (part 1)**
## Exercise 2 — **Advanced data transfer optimisations (part 1)**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 3 - **Advanced data transfer optimisations (part 2)**
## Exercise 3 — **Advanced data transfer optimisations (part 2)**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 1 - **Car travel**
## Exercise 1 — **Car travel**

👉 [Download the notebook to get started with this exercise!](https://github.com/eth-vaw-glaciology/course-101-0250-00/blob/main/exercise-notebooks/notebooks/lecture1_ex1.ipynb)

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## Exercise 2 - **Car travel in 2 dimensions**
## Exercise 2 — **Car travel in 2 dimensions**

👉 [Download the notebook to get started with this exercise!](https://github.com/eth-vaw-glaciology/course-101-0250-00/blob/main/exercise-notebooks/notebooks/lecture1_ex2.ipynb)

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## Exercise 3 - **Volcanic bomb**
## Exercise 3 — **Volcanic bomb**

👉 [Download the notebook to get started with this exercise!](https://github.com/eth-vaw-glaciology/course-101-0250-00/blob/main/exercise-notebooks/notebooks/lecture1_ex3.ipynb)

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## Exercise 4 _(optional)_ - **Orbital around a centre of mass**
## Exercise 4 _(optional)_ — **Orbital around a centre of mass**

👉 [Download the notebook to get started with this exercise!](https://github.com/eth-vaw-glaciology/course-101-0250-00/blob/main/exercise-notebooks/notebooks/lecture1_ex4.ipynb)

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## Exercise 5 _(optional)_ - **Many volcanic bombs**
## Exercise 5 _(optional)_ — **Many volcanic bombs**

👉 [Download the notebook to get started with this exercise!](https://github.com/eth-vaw-glaciology/course-101-0250-00/blob/main/exercise-notebooks/notebooks/lecture1_ex5.ipynb)

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## Exercise 1 - **Advection-Diffusion**
## Exercise 1 — **Advection-Diffusion**

👉 [Download the notebook to get started with this exercise!](https://github.com/eth-vaw-glaciology/course-101-0250-00/blob/main/exercise-notebooks/notebooks/lecture2_ex1.ipynb)

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## Exercise 2 - **Reaction-Diffusion**
## Exercise 2 — **Reaction-Diffusion**

👉 [Download the notebook to get started with this exercise!](https://github.com/eth-vaw-glaciology/course-101-0250-00/blob/main/exercise-notebooks/notebooks/lecture2_ex2.ipynb)

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## Exercise 3 - **Nonlinear problems**
## Exercise 3 — **Nonlinear problems**

👉 [Download the notebook to get started with this exercise!](https://github.com/eth-vaw-glaciology/course-101-0250-00/blob/main/exercise-notebooks/notebooks/lecture2_ex3.ipynb)

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## Exercise 4 - **Julia install and Git repo**
## Exercise 4 — **Julia install and Git repo**

The goal of this homework is to:
- finalise your local Julia install
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## Exercise 1 - **Implicit transient diffusion using dual timestepping**
## Exercise 1 — **Implicit transient diffusion using dual timestepping**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 2 - **Operator-splitting for advection-diffusion**
## Exercise 2 — **Operator splitting for advection-diffusion**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 3 - **Advection-diffusion in 2D**
## Exercise 3 — **Advection-diffusion in 2D**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 4 - **Optimal iteration parameters for pseudo-transient method**
## Exercise 4 — **Optimal iteration parameters for pseudo-transient method**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 1 - **Thermal porous convection in 2D**
## Exercise 1 — **Thermal porous convection in 2D**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 2 - **Thermal porous convection with implicit temperature update**
## Exercise 2 — **Thermal porous convection with implicit temperature update**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 1 - **Performance implementation**
## Exercise 1 — **Performance implementation**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 2 - **Performance evaluation**
## Exercise 2 — **Performance evaluation**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 3 - **Unit tests**
## Exercise 3 — **Unit tests**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 1 - **Data transfer optimisations**
## Exercise 1 — **Data transfer optimisations**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 2 - **Solving PDEs on GPUs**
## Exercise 2 — **Solving PDEs on GPUs**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 3 - **Unit and reference tests**
## Exercise 3 — **Unit and reference tests**

👉 See [Logistics](/logistics/#submission) for submission details.

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## Exercise 1 - **2D thermal porous convection xPU implementation**
## Exercise 1 — **2D thermal porous convection xPU implementation**

👉 See [Logistics](/logistics/#submission) for submission details.

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