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
    • Fixed Point Iterations
• Numerical Linear Algebra