Seismic waves are non-stationary due to its propagation through the earth. Time-frequency transforms are suitable tools for analyzing non-stationary seismic signals. Spectral decomposition can reveal the non-stationary characteristics which cannot be easily observed in the time or frequency representation alone. Various types of spectral decomposition methods have been introduced by some resear...

Spectral factorization is a prominent tool with several important applications in various areas of applied science. Wiener and Masani proved the existence matrix spectral factorization. Their theorem has been extended to multivariable case by Helson Lowdenslager. Solving problem numerically challenging both situations, also due its practical applications. Therefore, authors have developed algor...

A reduction method is presented for systems of conservation laws with boundary energy flow. It is stated as a generalized pseudo-spectral method which performs exact differentiation by using simultaneously several approximation spaces generated by polynomials bases and suitable choices of port-variables. The symplecticity of this spatial reduction method is proved when used for the reduction of...