the current manuscript presents the validation of smoothed particle hydrodynamics (sph) techniques for wave generation by underwater explosion, utilizing the so-called dualsphysics numerical model. this numerical method is used to analyze generated waves which are initiated by man-made or natural explosions below free surface level of sea. in spite of the modeling limitations (e.g. absence of o...

finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. this paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. in mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...