Loading [MathJax]/extensions/TeX/boldsymbol.js
\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)}
Truncation errors in the initial condition
- Initial conditions: u(0)=I , u'(0)=V
- Need discretization of u'(0)
- Standard, centered difference: [D_{2t} u=V]^0 , R^0=\Oof{\Delta t^2}
- Simpler, forward difference: [D_t^+u=V]^0 , R^0=\Oof{\Delta t}
- Does the lower order of the forward scheme impact the order of
the whole simulation?
- Answer: run experiments!
