Inhalt

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

Versionsauswahl
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 2025W
Learning Outcomes
Competences
The students are able to deal with the theory from the lecture of the same name, can solve examples independently and carry out simple proofs.
Skills Knowledge
  • be able to solve simple and more demanding tasks on the theory from the lecture independently
  • be able to formulate and prove simple theorems and results from the theory from the lecture independently
  • be able to develop and present sophisticated results related to the theory presented in the lecture using literature
  • be able to work on related topics beyond the lecture material using literature independently
  • be able to construct quasi-Monte Carlo point sets on the computer and to analyze them numerically
Monte Carlo method, numerical integration, uniform distribution and Weyl's criterion, discrepancy, Koksma-Hlawka inequality, worst-case error, error analysis in Hilbert spaces with reproducing kernel, quasi-Monte Carlo method, lattice rules, digital nets, curse of dimension and tractability
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