Numerical Analysis
These pages consist of my notes on various undergraduate numerical analysis topics. I split my notes into two categories: “numerical analysis” as the topics listed below and numerical linear algebra because that is how my school (KU) splits up the curriculum into a two-semester sequence.
[example] [extitle]$\FF$ notation.[/extitle]
Whenever I use the symbol $\FF$, I am referring to a field that can be either $\RR$ or $\CC$. [/example]
[example] [extitle]$\FF^{m\times n}$ notation.[/extitle]
Whenever I use the symbol $\FF^{m\times n}$, I am referring to the set of $m\times n$ matrices with entries in the field $\FF$. Since my pages really only care about the standard basis representation, all matrices from $\FF^{m\times n}$ are assumed to be with respect to the standard basis of $\FF^k$. [/example]
- Numerical Analysis
- Numerical ODEs
- existence-uniqueness: todo
- Local Truncation Error
- Absolute Stability
- Fixed Point Iterations
- Numerical ODEs
- Numerical Linear Algebra