How to develop, analyse and test a numerical algorithm

Note on error propagation.

Note on numerical ODEs (NODE) (including the predictor-corrector methods from week 38)

Note on norms and inner products in \(\mathbb{R}^m \)

Proof of Theorem 4.2

How to read the order conditions from a rooted tree. Example

Algorithm: Adaptive explicit RK method

Note on extrapolation methods.

Note on QR-decomposition

Lemma to prove the last inequality in Quarteroni et.al. p. 287

Note on nonlinear equations

Note on interpolating cubic splines

Lecture note on B-splines