Kurt Frischmuth: Intro to Numerics
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Kurt Frischmuth

### Lecture

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*Introduction to Numerical Analysis*

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for Computational Science and Engineering

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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.

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Bibliography

selected books

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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.