Computational Methods for Engineering Applications II

Lecturer: Siddhartha Mishra

Substitute lecturer: Andreas Hiltebrand

Assistants:

• Kjetil Olsen Lye (coordinator)
• Laura Scarabosio (coordinator)
• Michel Breyer (mbreyer@student...)
• Carlo Del Don (deldonc@student...)
• Alessio Zanchettin (zalessio@student...)

Lecture hours: Tuesday, 15-17, HG F 7.

Exercise classes: Thursday, 10-12.

Presence hours: Tuesday, h. 17-18, room HG D 5.3.

News

No lecture and no exercise classes the first week of the semester.

Lecture notes (handwritten)

The lecture notes are uploaded here. For now, the lecture notes are hand written, there will be a computerized version available soon.

• Chapters 1 and 2
• Chapters 3, 4 and 5
• Chapters 6 and 7

Lecture notes (computer version)

• Chapters 1 to 11 (changelog) updated on 18.12.2015
  

Series

Bonus points: from the second assignment on, some of the problems contained in the assignments will be marked as Core problems. Each assignment will contribute with approximatively 4 points, over a total of 20 points for the overall bonus. The core problems will be corrected and full mark for the total of them will give a 20% bonus of the total points in the final exam. This is really a bonus, which means that at the exam you can still get the highest grade without having the bonus points (of course then you need to score more points at the exam).

Correction of coding tasks : only codes that compile will be corrected by the assistants.

Tutorial classes

The tutorial classes take place on Thursdays 10 - 12. Please go to the tutorial class you are registered in.

Install instructions for setting up necessary software

For this course, you will need to have the following available:

• A C++ compiler (eg. GCC, clang, MSVC)
• cmake
• A tool for plotting (MATLAB, or Python with matplotlib)

Full install instructions are available.

Programming guides

• Slides on using C++ in CMEA II, as well as plotting.
• A cheat sheet for Eigen.
• A short example program for Eigen.
  

Aims of the course

The course gives an introduction to the numerical methods for the solution of ordinary and partial differential equations that play a central role in engineering applications. Both basic theoretical concepts and implementation techniques necessary to understand and master the methods will be addressed.

Students should be able to:

• implement numerical methods for the solution of ordinary and partial differential equations;
• identify features of a PDE (= partial differential equation) based model that are relevant for the selection and performance of a numerical algorithm;
• understand engineering research publications on numerical methods for ordinary and partial differential equations;

Programming Language: C++.

Content of the course

• Initial value problems for ODE
• Two-point boundary value problems
• Elliptic boundary value problems
• Parabolic boundary value problems
• Hyperbolic problems

See a more comprehensive list on the VVZ.

C++ links and references

• Link to the C++ website, where you can find the reference manual and C++ tutorials.
• S. B. Lippman, J. Lajoie and B. E. Moo, C++ Primer, Addison-Wesley, 2005.

Literature

The following references are not meant as course material, but as supplementary reading beyond the course lecture notes.

• A. Tveito and R. Winther, Introduction to Partial Differential Equations. A Computational Approach, Springer, 2005.