401-0663-00L  Numerical Methods for CSE

SemesterAutumn Semester 2020
LecturersR. Hiptmair
Periodicityyearly recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
401-0663-00 VNumerical Methods for CSE
This course is designed in a flipped classroom format based on video tutorials and supplemented by a weekly question-and-answer session, for which attendance is highly recommended.
However, physical presence in the lecture hall is restricted: details will be announced. As of November 2020 physical presence in the lecture hall is not possible.
2 hrs
Thu10:15-12:00HG F 1 »
R. Hiptmair
401-0663-00 UNumerical Methods for CSE
Groups are selected in myStudies.
Mon 10-12 or Mon 12-14 or Mon 14-16
The lecturers will communicate the exact lesson times of ONLINE courses.
2 hrs
Mon10:00-12:00ON LI NE »
10:00-12:00ON LI NE »
10:00-12:00ON LI NE »
10:00-12:00ON LI NE »
10:00-12:00ON LI NE »
10:00-12:00ON LI NE »
10:00-12:00ON LI NE »
12:00-14:00ON LI NE »
14:00-16:00ON LI NE »
14:00-16:00ON LI NE »
14:00-16:00ON LI NE »
14:00-16:00ON LI NE »
R. Hiptmair
401-0663-00 PNumerical Methods for CSE
self-study based on video tutorial and lecture notes
3 hrsR. Hiptmair

Catalogue data

AbstractThe 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* Computing with Matrices and Vectors
* Direct Methods for linear systems of equations
* Least Squares Techniques
* Data Interpolation and Fitting
* Filtering Algorithms
* Data Interpolation and Data Fitting in 1D
* Approximation of Functions in One Dimension
* Numerical Quadrature
* Iterative Methods for non-linear systems of equations
Lecture notesLecture materials (PDF documents and codes) will be made available to the participants through the course web page, whose address will be announced in the beginning of the course.
LiteratureU. 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.

W. Gander, M.J. Gander, and F. Kwok "Scientific Computing", Springer 2014.

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 / NoticeThe 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

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block forBachelor's Degree Programme in Computational Science and Engineering 2016; Version 27.03.2018 (Examination Block G1)
Bachelor's Programme in Computational Science and Engineering 2012; Version 13.12.2016 (Examination Block G1)
ECTS credits8 credits
ExaminersR. Hiptmair
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 225 minutes
Additional information on mode of examinationMode of examination: written 180 minutes (the 225 minutes mentioned elsewhere includes 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 online 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 20% for the final grade. The dates for the term exams will be communicated in the beginning of the course.
Written aidsNo aids admitted.
Online examinationThe examination may take place on the computer.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.

Groups

401-0663-00 UNumerical Methods for CSE
GroupsG-ON 01
Mon10:00-12:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
G-01
Mon10:00-12:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
G-02
Mon14:00-16:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
G-03
Mon14:00-16:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
G-04
Mon10:00-12:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
G-05
Mon10:00-12:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
G-06
Mon10:00-12:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
G-07
Mon12:00-14:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
G-08
Mon14:00-16:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
G-09
Mon14:00-16:00ON LI NE »
not for  Computational Science and Engineering BSc (406000)
RW3-ON 01
Mon10:00-12:00ON LI NE »
only for  Computational Science and Engineering BSc (406000)
RW3-01
Mon10:00-12:00ON LI NE »
only for  Computational Science and Engineering BSc (406000)
RW3-02
Mon10:00-12:00ON LI NE »
only for  Computational Science and Engineering BSc (406000)

Restrictions

GroupsRestrictions are listed under Groups

Offered in

ProgrammeSectionType
Computational Biology and Bioinformatics MasterTheoryWInformation
Computer Science BachelorBasic CoursesOInformation
Computational Science and Engineering BachelorBlock G1OInformation