Scientific Computing (Wissenschaftliches Rechnen)

TU Berlin, Winter Semester 2020/2021

Exam plan

I only have been able to convey the necessary topics for the Voronoi finite volume method, so exams will be based on this.

I offer two ways for the exams:

• Variant 1: Project based

• Variant 2: "Classical" exam

Exam dates.

Please note as many as possible dates in the following google sheet Mark your intended type of exam with 'p' or 'c', respectively.

Content Summary

• Numerical methods focusing on partial differential equations (finite elements, finite volumes, mesh generation, linear and nonlinear solvers, iterative methods), their implementation and programming

• Julia programming language

• Parallelization, visualization

Literature/Links

• Numerical methods:

  • G. Golub, C. van Loan: Matrix Computations

  • Y. Saad: Iterative methods for sparse linear systems

  • R. S. Varga: Matrix Iterative Analysis

  • J. Shewchuk: An Introduction to the Conjugate Gradient Method Without the Agonizing Pain

  • R. Barrett et al: Templates for the Solution of Linear Systems:Building Blocks for Iterative Methods

  • V. Eijkhout: Introduction to High-Performance Scientific Computing

  • G. Bärwolff: Script, Numerische Mathematik I (TU Berlin, in German)

  • G. Bärwolff: Script, Numerische Mathematik II (TU Berlin, in German)

• Mesh generation:

  • J.R. Shewchuk: Lecture Notes on Delaunay Mesh Generation

  • Hang Si: Course material from 2019 International Summer School in Beihang University

• Julia:

  • Running/Installing/Editing:

    • Homepage: Download of the latest version from here

    • Julia Pro: Curated Julia distribution, free download

    • Julia via package managers: Homebrew, OpenSUSE, Ubuntu sometimes outdated

    • Visual Studio Code extension

    • Emacs support

    • Atom extension: Juno

    • Pluto notebooks; How to install Julia and Pluto: MIT course video

  • Learning:

    • Learning resources

    • Documentation

    • Cheat Sheet

    • QuantEcon tutorial

    • Julia by Example

    • WikiBook

    • VMLS Book Julia companion many linear algebra oriented examples

    • Think Julia Julia based introduction to programming

    • Noteworthy differences from Matlab

    • Noteworthy differences from R

    • Noteworthy differences from Python

    • Noteworthy differences from C/C++

    • Matlab-Julia-Python cheat sheet

    If you look for further online resources, please ensure that they are for Julia 1.0 and newer. This is best achieved by looking for material not older than two years.

• Git (distributed version control system)

  • Homepage

  • git - the simple guide

  • Tutorial

• Linux

  • A Cheat Sheet

  • TuxArena: Introduction to Linux Command Line for Beginners

Administrative Information

Enrolment

We are 50 students now (2020-11-04)!

For registering, please send an email to juergen dot fuhrmann at wias minus berlin dot de with the following information:

• Name

• University

• "Matrikelnummer"

• "Studiengang".

Any additional information regarding interests, previous experience (courses, programming skills) etc. is appreciated but not mandatory.

I will use the email address you use for inscription for all online communication with you. Please let me know if you need to change it.

Please do not forget to send me your "Matrikelnummer" once you obtain it.

Lecture mode

Due to the COVID19 pandemic, I plan to record all lectures and make the videos available online. Course material (pdf slides, Pluto notebooks) will be posted on this page.

Lecture dates

Lecture time slots are Thursday, Friday 16:00-18:00. I will be available online (zoom, zulip chat) during these times. Also I am contemplating the possibility of physical meetings if possible under the pandemic rules.

I intend to organize material in weekly sets of topics, and (hopefully) will be able to upload the material by Wednesday night each week.

Homework

There will be 3-4 programming assignments.

Exams

I intend to base exams on coding projects (groups of 1-3 students) and individual reports to be presented/discussed during oral exams.

Previous courses

• WS 2019/2020

• WS 2018/2019

• WS 2017/2018

• WS 2016/2017