Error estimates of the cubic interpolated pseudo-particle scheme for
one-dimensional advection equations
Error estimates of the cubic interpolated pseudo-particle scheme for
one-dimensional advection equations
Error estimates of cubic interpolated pseudo-particle scheme (CIP scheme) for the one-dimensional advection equation with periodic boundary conditions are presented. The CIP scheme is a semi-Lagrangian method involving the piecewise cubic Hermite interpolation. Although it is numerically known that the space-time accuracy of the scheme is third order, its rigorous …