An electromechanical model for a circular piezoelectric actuator is developed and analyzed. A critical challenge in certain applications employing piezoceramic actuators is to maximize theâ€¦ (More)

A new approach to the construction of finite-difference methods is presented. It is shown how the multi-point differentiators can generate regularizing algorithms with a stepsize h being aâ€¦ (More)

The Newton-Sabatier procedure for finding the potential from fixed-energy phase shifts is analyzed. A method is proposed for finding two quite different spherically-symmetric real-valued,â€¦ (More)

The goal of this paper is to develop a general approach to solution of ill-posed nonlinear problems in a Hilbert space based on continuous processes with a regularization procedure. To avoid theâ€¦ (More)

A nonlinear operator equation F (x) = 0, F : H â†’ H, in a Hilbert space is considered. Continuous Newtonâ€™s-type procedures based on a construction of a dynamical system with the trajectory starting atâ€¦ (More)

Assume that the potential q(r), r > 0, is known for r â‰¥ a > 0 and the phase shifts Î´l(k) are given at a fixed energy, i. e., at a fixed k > 0, for l = 0, 1, 2, . . .. The inverse scattering problemâ€¦ (More)

A new continuous regularized Gauss-Newton-type method with simultaneous updates of the operator [F â€²âˆ—(x(t))F â€²(x(t)) + Îµ(t)I]âˆ’1 for solving nonlinear ill-posed equations in a Hilbert space isâ€¦ (More)