[ 201ZATHNMNU22 ] UE Number-theoretic Methods in Numerical Analysis

Workload Education level Study areas Responsible person Hours per week Coordinating university
1,5 ECTS B3 - Bachelor's programme 3. year Mathematics Friedrich Pillichshammer 1 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2023W
Objectives Exercises to the corresponding lecture of the same title
Subject The following topics are discussed: general introduction to the Monte Carlo and quasi-Monte Carlo method, uniform distribution modulo one discrepancy theory, error analysis in reproducing kernel Hilbert spaces, constructions of QMC rules (lattice methods, digital nets, Halton sequences), dependence of the error bounds on the dimension, avoiding the curse of dimensionality.
Criteria for evaluation Active participation during the course
Language English and French
Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
TM1WNUEZNUM: UE Number-theoretic methods in numerical analysis (2009S-2022S)
On-site course
Maximum number of participants 25
Assignment procedure Direct assignment