  In this article, we propose a finite volume limiter function for a
reconstruction on the three-point stencil. Compared to classical limiter
functions in the MUSCL framework, which yield $2^{\text{nd}}$-order accuracy,
the new limiter is $3^\text{rd}$-order accurate for smooth solutions. In an
earlier work, such a $3^\text{rd}$-order limiter function was proposed and
showed successful results [2]. However, it came with unspecified parameters. We
close this gap by giving information on these parameters.
