Department of Computer Science, Regentropfen College of Applied Sciences, Bolgatanga, Ghana. In the realm of computational mathematics and scientific computing, the choice of software can profoundly ...

Abstract: This study aimed at comparing the rate of convergence and performance of Newton-Raphson and Regula-Falsi method for solving the nonlinear equations. To solve nonlinear equations, two ...

The project report details the development and testing of a Newton-Raphson-based solver for systems of nonlinear equations. This solver incorporates the Secant method to approximate the Jacobian ...

Abstract: It is well known that the Newton-Raphson method is the most popular iterative method for nonlinear finite element problems. The method has a quadratic convergence. Under certain conditions ...

Tensegrity structures are geometric nonlinear systems and statically and kinematically indeterminate structures that require an initial shape-finding procedure to establish a self-equilibrium state.

Use symbolic computation where possible to maintain precision. Transition to numerical computation for tasks like solving linear systems and matrix decompositions. Provide outputs consistent with ...

ABSTRACT: This note is mainly concerned with the creation of oppositely converging and alternatingly converging iterative methods that have the added advantage of providing ever tighter bounds on the ...