Scientific Computing II - Summer 16: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 6: | Line 6: | ||
| credits = 6 SWS (4V + 2Ü) / 8 Credits | | credits = 6 SWS (4V + 2Ü) / 8 Credits | ||
| audience = see [https://campus.tum.de/tumonline/WBMODHB.wbShowMHBReadOnly?pKnotenNr=456346&pOrgNr=14189 module description (IN2001)] in TUMonline | | audience = see [https://campus.tum.de/tumonline/WBMODHB.wbShowMHBReadOnly?pKnotenNr=456346&pOrgNr=14189 module description (IN2001)] in TUMonline | ||
| tutorials = [[ | | tutorials = [[Emily Mo-Hellenbrand, M.Sc.]], [[Angelika Schwarz, M.Sc.]] | ||
| exam = | | exam = tba | ||
| tumonline = | | tumonline = | ||
}} | }} | ||
== News & Announcements == | == News & Announcements == | ||
== What's ASC about? == | == What's ASC about? == | ||
| Line 50: | Line 33: | ||
** Sparse grids, wavelets, multi-grid methods | ** Sparse grids, wavelets, multi-grid methods | ||
== | == Lecture Slides and Supplementary Materials == | ||
Lecture slides | Lecture slides will be published here as soon as they become available. | ||
== | == Worksheets and Solutions == | ||
Assignment sheets will be posted here. All in good time. | |||
=== IPython Notebook === | === IPython Notebook === | ||
| Line 131: | Line 47: | ||
** If you install IPython Notebook for Windows, it might happen that starting it from the "Start" menue will open an IPython server website, but that you cannot create or import any new Python notebooks. In that case, try to start IPython Notebook from the command line via "ipython notebook --notebook-dir=.\" (from the directory where you want to store the Python notebooks); you can also create a batch file for this ([http://www5.in.tum.de/lehre/vorlesungen/asc/ss13/startNotebook.bat download example], place it in the desired directory). | ** If you install IPython Notebook for Windows, it might happen that starting it from the "Start" menue will open an IPython server website, but that you cannot create or import any new Python notebooks. In that case, try to start IPython Notebook from the command line via "ipython notebook --notebook-dir=.\" (from the directory where you want to store the Python notebooks); you can also create a batch file for this ([http://www5.in.tum.de/lehre/vorlesungen/asc/ss13/startNotebook.bat download example], place it in the desired directory). | ||
== Literature and Additional Material == | == Literature and Additional Material == | ||
Books that are labeled as "available as e-book" can be accessed as e-book | Books that are labeled as "available as e-book" can be accessed as e-book via the TUM library - see the [http://www.ub.tum.de/ebooks ebooks website] of the library for details on how to access the books. | ||
=== Fast Fourier Transform: === | === Fast Fourier Transform: === | ||
Revision as of 12:30, 18 December 2015
- Term
- Summer 2016
- Lecturer
- Michael Bader
- Time and Place
- Lecture: tba
- Tutorial: tba
- Audience
- see module description (IN2001) in TUMonline
- Tutorials
- Emily Mo-Hellenbrand, M.Sc., Angelika Schwarz, M.Sc.
- Exam
- tba
- Semesterwochenstunden / ECTS Credits
- 6 SWS (4V + 2Ü) / 8 Credits
- TUMonline
News & Announcements
What's ASC about?
Many applications in computer science require methods of (prevalently numerical) mathematics - especially in science and engineering, of course, but as well in surprisingly many areas that one might suspect to be directly at the heart of computer science:
Consider, for example, Fourier and wavelet transformations, which are indispensable in image processing and image compression. Space filling curves (which have been considered to be "topological monsters" and a useless theoretical bauble at the end of the 19th century) have become important methods used for parallelization and the implementation of data bases. Numerical methods for minimization and zero-setting are an essential foundation of Neural Networks in machine learning.
Essentially, these methods come down to the question of how to represent and process information or data as (multi-dimensional) continuous functions. Algorithms of Scientific Computing (former Algorithmen des Wissenschaftlichen Rechnens) provides a generally understandable and algorithmically oriented introduction into the foundations of such mathematical methods. Topics are:
- The fast Fourier transformation (FFT) and some of its variants:
- FCT (Fast Cosine Transform), real FFT, Application for compression of video and audio data
- Space filling curves (SFCs):
- Construction and properies of SFCs
- Application for parallelization and to linearize multidimensional data spaces in data bases
- Hierarchical and recursive methods in scientific computing
- From Archimede's quadrature to the hierarchical basis
- Cost vs. accuracy
- Sparse grids, wavelets, multi-grid methods
Lecture Slides and Supplementary Materials
Lecture slides will be published here as soon as they become available.
Worksheets and Solutions
Assignment sheets will be posted here. All in good time.
IPython Notebook
- If you want to use a local installation of IPython Notebook on your laptop or home computer, just refer to the IPython Notebook website on how to install IPython Notebook on Linux, Windows or MAC platforms
- If you install IPython Notebook for Windows, it might happen that starting it from the "Start" menue will open an IPython server website, but that you cannot create or import any new Python notebooks. In that case, try to start IPython Notebook from the command line via "ipython notebook --notebook-dir=.\" (from the directory where you want to store the Python notebooks); you can also create a batch file for this (download example, place it in the desired directory).
Literature and Additional Material
Books that are labeled as "available as e-book" can be accessed as e-book via the TUM library - see the ebooks website of the library for details on how to access the books.
Fast Fourier Transform:
The lecture is oriented on:
- W.L. Briggs, Van Emden Henson: The DFT - An Owner's Manual for the Discrete Fourier Transform, SIAM, 1995 (available as e-book)
- Thomas Huckle, Stefan Schneider: Numerische Methoden - Eine Einführung für Informatiker, Naturwissenschaftler, Ingenieure und Mathematiker, Springer-Verlag, Berlin-Heidelberg, 2.Auflage 2006 (German only)
- Charles van Loan: Computational Frameworks for the Fast Fourier Transform, SIAM, 1992 (available as e-book)
Hierarchical Methods and Sparse Grids
- Skript of H.-J. Bungartz for the lecture "Rekursive Verfahren und hierarchische Datenstrukturen in der numerischen Analysis" (German only)
- General overview paper on Sparse Grids
- Chapter on Sparse Grids in this book
Wavelets
- E. Aboufadel, S. Schlicker: Discovering Wavelets, Whiley, New York, 1999 (available as e-book).
- Collection of Wavelet tutorials (maintained by E. Aboufadel and S. Schlicker)
- J.S. Walker: A Primer on Wavelets and their Scientific Applications, Second Edition, Chapman and Hall/CRC, 2008.
- J.S. Walker: Wavelet-based Image Compression (download as PDF)
Space-filling Curves:
- Michael Bader: Space-Filling Curves - An introduction with applications in scientific computing, Texts in Computational Science and Engineering 9, Springer-Verlag, 2012
( available as eBook, also in the TUM library) - Hans Sagan: Space-Filling Curves, Springer-Verlag, 1994