Abstract In this study, the aeroelastic response of a wing-pylon-nacelle system in subsonic and low supersonic flow regimes is analyzed using continuation method conjunction with an adaptive step size control algorithm. Idealizing pylon nacelle as point mass, computed effects standard structural analysis wing together are compared those clean to build reduced-order model for analysis. The aerod...

Recently, a couple of approaches have been developed that combine multiobjective optimization with direct discretization methods to approximate trajectories of optimal control problems, resulting in restricted optimization problems of high dimension. The solution set of a multiobjective optimization problem is called the Pareto set which consists of optimal compromise solutions. A common way to...

This paper describes an efficient edge-preserved regularization algorithm for downward continuation of magnetic data in detection of unexploded ordnance (UXO). The magnetic anomalies arising from multi-source UXO can overlap at a height over the ground surface, while causative sources may not be readily separated due to low level of signal-to-noise ratio of the observed data. To effectively the...

CMPSc is a C++ program for homotopy continuation methods to find all isolated solutions of a system of polynomial equations. The numerical methods for solving polynomial systems employed in CMPSc are equivalent to the ones used in a matlab program CMPSm. The focus of CMPSc is on implementation of the cheater’s homotopy. The software CMPSc, this manual and some numerical examples are available a...

We develop a separable-kernel decomposition method for approximating the double-square-root DSR continuation operator in one-way migrations in this paper. This new approach is a further development of separable approximations of the single-square-root SSR operator. The separable approximation of the DSR operator generally involves solving a complicated nonlinear system of integral equations. In...

PHoM is a software package in C++ for finding all isolated solutions of polynomial systems using a polyhedral homotopy continuation method. Among three modules constituting the package, the first module StartSystem constructs a family of polyhedrallinear homotopy functions, based on the polyhedral homotopy theory, from input data for a given system of polynomial equations f(x) = 0. The second m...

This paper addresses the trajectory planning problem in robotic systems that can be represented by an affine control system with output. Using as a guideline the continuation method, a partial differential equation has been associated with the control system and its variational system, whose solution yields a 1–parameter family of control functions. After passing with the parameter to infinity ...