MC ▸ NA ▸ courses ▸ FMN050 – spring term 2013

In short

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Lectures
Mondays 15-17 MA:06, Tuesdays 10-12 E:B, Thursdays 10-12 MA:06, Fridays 8-10 E:A.

First lecture: March 18, 2013. Last lecture: May 24, 2013.
Exercises
Partial solutions on exercises: Thursdays 13-15h, MA04 (MA02 for May 2nd).
No meeting on May 9.
Consultation hours for exercises: Mondays 13-15h at E:3308 You might want to bring your laptop for your MATLAB/Python related questions.

Thematic Schedule

DateLectureMaterial
2013-03-18

Lecture 01 Introduction & course outline, Iterations in 1D, Finding roots of nonlinear problems in 1D: here bisection method and its realization in MATLAB. (Read Sec 1.1)

Lecture01.pdf
2013-03-19

Lecture 02 Fixed Point, Fixed Point Iteration, Contractivity, Fixed Point Theorem, Examples, A priori and a posteriori error estimates

Lecture02.pdf
2013-03-21

Lecture 03 Newton iteration, variants of Newton iteration, order and rate of convergence

Lecture03.pdf
2013-03-23

Lecture 04 Linear Equations Systems, LU factorization (p. 101 ff), forward and backward substition, row pivoting, condition Number (just motivation)

Lecture04.pdf
2013-04-10

Lecture 05 Iterative schemes for linear systems Ax = B

Lecture05.pdf