Numerical Approximation
NUMN19 Numerical Approximation, 7.5 credits, is an elective course for a Master of Science degree in mathematics. The course can be taken as a stand-alone course. The course is given at half-study pace during the first half of each spring semester. The course is given in English.
Course Content
The course treats
- The approximation problem: Norms, approximation spaces, the Weierstrass theorem.
- Theory of best approximation in Euclidean spaces: Existence, uniqueness, characterisation theorems, duals.
- Construction of best approximations: Orthogonality, Chebyshev polynomials, Haar spaces, the exchange algorithm.
Teaching
The teaching consists of lectures and weekly theoretical and practical assignments.
Assessment
The examination consists of an oral examination and oral presentations of the practical and theoretical assignments.
Course Literature
- Armin Iske: Approximation Theory and Algorithms for Data Analysis, Springer 2019
Official Course Description
Course Evaluation
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