  An approach for constructing a low-dissipation numerical method is described.
The method is based on a combination of the operator-splitting method, Godunov
method, and piecewise-parabolic method on the local stencil. Numerical method
was tested on a standard suite of hydrodynamic test problems. In addition, the
performance of the method is demonstrated on a global test problem showing the
development of a spiral structure in a gravitationally unstable gaseous
galactic disk.
