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Numerik II (Numerical methods II) Semester
SoSe 2020
Lecturer
Luise Blank
Type of course (Veranstaltungsart)
Vorlesung
Contents
The course discusses the ideas, the analysis and the implementation of algorithms concerning the following two topics:
- Part I: Iterative solvers for systems of linear equations
- stationary methods
- gradient and conjugate gradient method
- Krylov subspace methods for symmetric matrices
- Part II: Numerical methods for ordinary differential equations
- One-step methods, in particular Runge-Kutta-methods
- multi-step methods
- Adaptive step size control
- stiff differential equations
Literature
- P. Deuflhard, A. Hohmann:
Numerische Mathematik I,
Eine algorithmisch orientierte Einführung,
de Gruyter, Berlin
- P. Deuflhard, F. Bornemann:
Numerische Mathematik II,
Gewöhnliche Differentialgleichungen,
de Gruyter, Berlin
- G. Hämmerlin, K.H. Hoffmann:
Numerische Mathematik,
Springer, Berlin
- J. Stoer: Numerische Mathematik 1,
Springer
- J. Stoer, R. Bulirsch: Numerische Mathematik 2,
Springer
- G. Golub, Ch. van Loan: Matrix computations, The Johns Hopkins University Press
- Y. Saad, Iterative methods for sparse linear systems, SIAM
- E. Hairer, S.P. Norsett, G. Wanner:
Solving ordinary differential equations 1,
Springer
Recommended previous knowledge
Numerical methods I,
knowledge of the programming language C
Time/Date
Monday 14-16, Wednesday 10-12
Location
Mo: M102; We: M103
Course homepage
https://elearning.uni-regensburg.de/course/view.php?id=40892
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)
Registration- Preliminary registration for the organisation of exercise classes: at the end of the previous
semester via EXA or LSF (see announcement by the department) - Registration for the exercise classes: via GRIPS
- Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)- Successful participation in the exercise classes: 50% of the points of the theoretical as well
as of the numericl exercises in Part I as well as in Part II of the lecture.
Participation
in Part I only is allowed in case of a passed exam of a course numerical methods for ordinary
differential equations
Examination (Prüfungsleistungen)- Oral exam: Duration: 30 minutes, for only Part I 20 minutes, Date: individual, on agreement,
re-exam: Date: individual, on agreement
Regelungen bei Studienbeginn vor WS 2015 / 16- Benotet:
- O. g. Studienleistung und o. g. Prüfungsleistung; die Note ergibt sich aus der Prüfungsleistung
- Unbenotet:
Additional comments
For BV, CS-B-Math3, CS-B-Math4, CS-M-P1, CS-M-P2, CS-M-P3 only graded exams are
possible.
Participation in Part I only is allowed in case of a passed exam of a course numerical
methods for ordinary differential equations
Modules
BPraMa(2), BV, MV, MAngAn, CS-B-Math3, CS-B-P16, CS-M-P1, CS-M-P2, CS-M-P3, PHY-B-WE 03, PHY-M-VE
03, RZ M 04, RZ-M61, RZ-M33
ECTS
9; for RZ M 04, RZ-M61, RZ-M33: 6; for Part I only: 4,5
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