This project provides a review and implementation of Lagrangian methods in nonlinear programming. It explores the mathematical foundations, presents algorithms, and compares the Lagrangian approach ...

This paper deals with the convergence acceleration of iterative nonlinear methods. An effective iterative algorithm, named the three-point method, is applied to nonlinear analysis of structures. In ...

Implementation of various numerical methods to solve nonlinear equations, including Newton-Raphson, Bisection, Secant, and more. Each method is demonstrated with sample problems and step-by-step ...

Abstract: PV-PQ switching is always a difficult problem to solve in the calculation of power flow using the Newton-Raphson (N-R) method. Firstly, suitable PV buses cannot be selected for switching, ...

My research projects in the area of nonlinear systems deal with finding dc operating points, steady state, and transient responses of electronic circuits. These are essential tasks in electrical ...

In this paper we consider certain nonlinear and constrained variational problems that occur in the theory of search. The problems are definitely of a nonclassical variety, but, by using a device of R.

Abstract: Accurate simulation of the electromagnetic field in iron cores requires accounting for the hysteresis behavior of magnetic materials, which imposes higher requirements on the robustness and ...