Blokhin A.M., Krymskikh D.A. «The stability of numerical boundary treatment for finite-difference splitting scheme for the acoustics equations system» Вычислительные технологии, 3, № 1, с. 40-54 (1998)

Different questions on influence of boundary conditions on stability of the finite-difference splitting scheme are considered in the paper on the example of the initial value and initial-boundary value problems for the acoustics equations system. This scheme is often used for numerical approximations to solutions of aerodynamics problems. It is shown that stability of this scheme depends not only upon the type of the problem (the initial value problem or the initial-boundary value problem) but on its dimension too.