In this paper any non-homogeneous differential equation with constant coefficients is reduced to a matrix equation ~q = ~cP . For the discussion, ~q represents a matrix of constant coefficients to the differential equation, ~c a matrix of arbitrary constants to the solution, and P is a lower triangular matrix with entries that are derivatives of the characteristic polynomial of the differential...

The vibration behavior of ships is noticeably influenced by the surrounding water, which represents a fluid of high density. In this case, the feedback of the fluid pressure onto the structure cannot be neglected and a strong coupling scheme between the fluid domain and the structural domain is necessary. In this work, fast boundary element methods are used to model the semi-infinite fluid doma...

In this work, we propose a simple method for obtaining the algebraic solution of a complex interval linear system where coefficient matrix is a complex matrix and the right-hand-side vector is a complex interval vector. We first use a complex interval version of the Doolittle decomposition method and then we restrict the Doolittle's solution, by complex limiting factors, to achieve a complex in...