$$
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\vex}{{v_{\small\mbox{e}}}}
\newcommand{\half}{\frac{1}{2}}
\newcommand{\tp}{\thinspace .}
\newcommand{\Oof}[1]{\mathcal{O}(#1)}
$$
Overview of what truncation errors are
- Definition: The truncation error is the discrepancy that
arises from performing a finite number of steps to approximate a
process with infinitely many steps.
- Widely used: truncation of infinite series, finite
precision arithmetic, finite differences, and differential equations.
- Why? The truncation error is an error measure that is easy to compute.
