Inhalt
[ 404CANCSSIV23 ] VL (*)Symbolic Summation and Integration
|
|
|
|
| (*) Leider ist diese Information in Deutsch nicht verfügbar. |
 |
| Workload |
Ausbildungslevel |
Studienfachbereich |
VerantwortlicheR |
Semesterstunden |
Anbietende Uni |
| 4,5 ECTS |
M - Master |
Mathematik |
Carsten Schneider |
3 SSt |
Johannes Kepler Universität Linz |
|
|
|
| Detailinformationen |
| Quellcurriculum |
Masterstudium Computational Mathematics 2023W |
| Ziele |
(*)Crucial algorithms for symbolic summation and integration are elaborated and general toolboxes are presented to tackle non-trivial sums and integrals that arise in technical and natural sciences.
|
| Lehrinhalte |
(*)Symbolic summation in the setting of difference rings, symbolic integration in the setting of differential fields, solving linear recurrences and differential equations in finite terms
|
| Beurteilungskriterien |
(*)Oral or written examination at the end of the semester
|
| Lehrmethoden |
(*)Classical black board lecture supplemented with calculations in computer algebra systems
|
| Abhaltungssprache |
Englisch |
| Literatur |
(*)- M. Bronstein: Symbolic Integration.
- K. Geddes, S. Czapor, and G. Labahn: Algorithms for Computer Algebra.
- S.A. Abramov, M. Bronstein, M. Petkovsek, C. Schneider: On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in ΠΣ-field extensions. J. Symb. Comput. 107, pp. 23-66. arXiv:2005.04944 [cs.SC].
- C. Schneider Term: Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. In: Anti-Differentiation and the Calculation of Feynman Amplitudes, pp. 423-485. 2021. Springer, arXiv:2102.01471 [cs.SC]
- C. Schneider: A Difference Ring Theory for Symbolic Summation. J. Symb. Comput. 72, pp. 82-127. 2016. arXiv:1408.2776 [cs.SC]
- C. Schneider: Summation Theory II: Characterizations of RΠΣ-extensions and algorithmic aspects. J. Symb. Comput. 80(3), pp. 616-664. 2017. arXiv:1603.04285 [cs.SC]
|
| Lehrinhalte wechselnd? |
Nein |
|
|
|
| Präsenzlehrveranstaltung |
| Teilungsziffer |
- |
| Zuteilungsverfahren |
Direktzuteilung |
|
|
|
