Abstract
A truncation error of the interpolant is considered for a class of particle methods, which can describe Smoothed Particle Hydrodynamics (SPH). Owing to sufficient conditions of the weight function and a regularity of the family of discrete parameters, a truncation error estimate of the interpolant is established for a class of particle methods based on the Voronoi decomposition. Moreover, some numerical results are shown, which agree well with theoretical ones.
