Dahlquist test equation (source code)

= Dahlquist test equation
{c}
{title2=$y'=\lambda y$}
{wiki}

The Dahlquist test equation is the scalar linear initial-value problem $y'=\lambda y$. A one-step method reduces it to $y_{n+1}=R(h\lambda)y_n$, thereby defining its <stability function> $R$.