401-2673-AAL Numerical Methods for CSE
|Semester||Autumn Semester 2022|
|Periodicity||every semester recurring course|
|Language of instruction||English|
|Comment||Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.|
Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
|401-2673-AA R||Numerical Methods for CSE|
Self-study course. No presence required.
This course completely coincides with 401-2663-00 V Numerical Methods for CSE. All information published for that course also applies to this one. Participating students are requested to enrol in the course unit 401-2663-00L as well to ensure smooth flow of information.
|270s hrs||R. Hiptmair|
|Abstract||he course gives an introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology. The course focuses on fundamental ideas and algorithmic aspects of numerical methods. The exercises involve actual implementation of numerical methods in C++.|
|Objective||* Knowledge of the fundamental algorithms in numerical mathematics|
* Knowledge of the essential terms in numerical mathematics and the techniques used for the analysis of numerical algorithms
* Ability to choose the appropriate numerical method for concrete problems
* Ability to interpret numerical results
* Ability to implement numerical algorithms afficiently
|Content||* Direct Methods for linear systems of equations|
* Least Squares Techniques
* Data Interpolation and Fitting
* Filtering Algorithms
* Approximation of Functions
* Numerical Quadrature
* Iterative Methods for non-linear systems of equations
|Lecture notes||Lecture materials (PDF documents and codes) will be made available to participants.|
|Literature||U. ASCHER AND C. GREIF, A First Course in Numerical Methods, SIAM, Philadelphia, 2011.|
A. QUARTERONI, R. SACCO, AND F. SALERI, Numerical mathematics, vol. 37 of Texts in Applied Mathematics, Springer, New York, 2000.
W. Dahmen, A. Reusken "Numerik für Ingenieure und Naturwissenschaftler", Springer 2006.
M. Hanke-Bourgeois "Grundlagen der Numerischen Mathematik und des wissenschaftlichen Rechnens", BG Teubner, 2002
P. Deuflhard and A. Hohmann, "Numerische Mathematik I", DeGruyter, 2002
|Prerequisites / Notice||Solid knowledge about fundamental concepts and technques from linear algebra & calculus as taught in the first year of science and engineering curricula.|
The course will be accompanied by programming exercises in C++ relying on the template library EIGEN. Familiarity with C++, object oriented and generic programming is an advantage. Participants of the course are expected to learn C++ by themselves.
|Performance assessment information (valid until the course unit is held again)|
|Performance assessment as a semester course|
|ECTS credits||9 credits|
|Language of examination||English|
|Repetition||The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.|
|Mode of examination||written 210 minutes|
|Additional information on mode of examination||Mode of examination: written 180 minutes (leading to 210 minutes total exam time when adding the time reserved for reading the exam problems).|
Computer based examination involving coding problems beside theoretical questions. Parts of the lecture documents and other materials will be made available on the computers during the examination.
An optional 30-minutes mid-term and an optional 30-minutes end-term exam will be held during the teaching period. The grades of these interim examinations will be taken into account through a BONUS of up to 30% for the final grade. The dates for the term exams will be communicated in the beginning of the course.
|Written aids||No aids admitted. Some documentations and documents will be made available on the exam computers.|
|Online examination||The examination may take place on the computer.|
|Distance examination||It is not possible to take a distance examination.|
|This information can be updated until the beginning of the semester; information on the examination timetable is binding.|
|No public learning materials available.|
|Only public learning materials are listed.|
|No information on groups available.|
|There are no additional restrictions for the registration.|
|Physics Master||Course Units for Additional Admission Requirements||E-|
|Computational Science and Engineering Master||Course Units for Additional Admission Requirements||E-|