APPM 4720-5720: High Performance Computing Spring 2018

This course is an introductory course in scientific computing and will cover a wide variety of topics, some of them are listed below.

In designing the course I have been inspired by Randall J. LeVeque’s course AMath 483/583 so if you find that your are missing some information on these pages or if you want a slightly different description of some topic his class notes should be a good source of information.

The course repository where these notes and other files from class can be found is here.

News

Books

• Read Part III of Numerical Solutions of Partial Differential Equations by Silvia Bertoluzza, Silvia Falletta, Giovanni Russo, and Chi-Wang Shu.

• Note that the textbook Introduction to High-Performance Scientific Computing by Victor Eijkhout is available here.

• ProGit is available here.

• J. S. Hesthaven and T. Warburton, Nodal Discontinuous Galerkin Methods - Algorithms, Analysis, and Applications (Springer 2008). Details here (can also be downloaded through the library).

• Chebyshev and Fourier Spectral Methods, by John P. Boyd

• Spectral Methods in Fluid Dynamics by Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang. Details here (can also be downloaded through the library).

General information:

• Syllabus

Homework:

• Homework Instructions
• Homework 1, due 08.00, 26/1-2018
• Homework 2, due 08.00, 2/2-2018
• Homework 3, due 08.00, February 12 2018
• Homework 4, due 08.00, February 19 2018
• Homework 5, due 08.00, March 1 2018

Slides:

• Slides for lecture 2.
• Slides for lecture 3.
• Slides for lecture 4.
• Slides for lecture 5.
• Slides for lecture 6.
• Slides for lecture 7.
• Slides for lecture 8-9.
• Slides for lecture 11.
• Slides for lecture 12.
• Slides for lecture 13.
• Slides for lecture 14.

Technical topics:

• The Linux / Unix operating system
• Reproducibility and Version Control
• GIT
• PERL
• Fortran basics
• Finite difference approximations
• Finite difference examples in Fortran