Kurt Frischmuth: Intro to Numerics

Kurt Frischmuth

Lecture

Introduction to Numerical Analysis

for Computational Science and Engineering




Abstract

The lecture covers basic numerical methods such as
interpolation, approximation, equation solving, matrix decompositions and eigenvalue problems.
Concepts like stability, consistency, condition and numerical cost will be discussed as well.

The lecture comes with a tutorial.
It will be essential to implement methods and test them on examples - individually.
Skills in calculus, algebra, computer science and programming are required (on BSc level), but not part of this subject.



Bibliography

selected books



Examination

time: August 21, 2018, 1-3 pm
location: HS 3, Parkstraße 6

Remarks:

For Task 1, it would have been helpful to know the eigenvalues of a triangular matrix, and to recognize similar matrices.
Task 2 is a toy version of Taks 4 in Exercise Worksheet 9.
In Task 3, using the symmetry of the function would have saved a lot of effort.
For Task 4, spd matrices and the condition number were crucial.
Task 5 was nothing but an integral by rectangle rule.

inofficial results:
examination of 07.03.2018
inspection of examination papers of August 21, 2018, will be possible October 23, 2018, from 13:45 to 14:30 pm at my office

Remember that stealing time means bad karma!




© Kurt Frischmuth, June 29, 2018.