250046 VO Constructive Approximation (2019W)
Labels
Registration/Deregistration
Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Details
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
- Wednesday 02.10. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 07.10. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 09.10. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 14.10. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 16.10. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 21.10. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 23.10. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 28.10. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 30.10. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 04.11. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 06.11. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 11.11. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 13.11. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 18.11. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 20.11. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 25.11. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 27.11. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 02.12. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 04.12. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 09.12. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 11.12. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 16.12. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 08.01. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 13.01. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 15.01. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 20.01. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 22.01. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
- Monday 27.01. 13:15 - 14:45 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
- Wednesday 29.01. 16:45 - 17:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Information
Aims, contents and method of the course
The goal of the lecture is to introduce approximation techniques, i.e., Fourier, Spline, and Wavelet Methods, on the Sphere and the Ball in three dimensional space. After collecting the basics on the real line, we will transfer well-known approximation methods to their counterparts in spherical geometry and on the 3-D Ball. The derived methods are particularly used in the geosciences as well as in various medical applications.
Assessment and permitted materials
Oral Examination.
Minimum requirements and assessment criteria
Examination topics
The material presented in the lecture.
Reading list
Interesting/relevant books and papers are:
-W. Freeden, T. Gervens and M. Schreiner: Constructive Approximation on the Sphere with Applications in Geomathematics. Oxford University Press, Oxford (1998)
- W. Freeden and M. Schreiner: Spherical Functions of Mathematical Geosciences, a Scalar, Vectorial, and Tensorial Setup. Sptringer, Berlin (2009)
- W. Freeden and C. Gerhards: Geomathematically Oriented Potential Theory. Chapman and Hall/CRC, Boca Raton (2013)
- V. Michel: Lectures on Constructive Approximation, Birkhäuser, Boston (2013)
- C. Müller: Spherical Harmonics, Springer, Berlin (1966)
- N. Aronszajn: Theory of Reproducing Kernels, Transactions of the American Mathematical Society, 68(3), 1950
-W. Freeden, T. Gervens and M. Schreiner: Constructive Approximation on the Sphere with Applications in Geomathematics. Oxford University Press, Oxford (1998)
- W. Freeden and M. Schreiner: Spherical Functions of Mathematical Geosciences, a Scalar, Vectorial, and Tensorial Setup. Sptringer, Berlin (2009)
- W. Freeden and C. Gerhards: Geomathematically Oriented Potential Theory. Chapman and Hall/CRC, Boca Raton (2013)
- V. Michel: Lectures on Constructive Approximation, Birkhäuser, Boston (2013)
- C. Müller: Spherical Harmonics, Springer, Berlin (1966)
- N. Aronszajn: Theory of Reproducing Kernels, Transactions of the American Mathematical Society, 68(3), 1950
Association in the course directory
MANV, MAMV
Last modified: Mo 07.09.2020 15:21