The need of accurately reproducing the behaviour of elastoplastic materials in
computational environments for the solution of engineering problems motivates the …

Ordinary differential equation models have become a standard tool for the mechanistic
description of biochemical processes. If parameters are inferred from experimental data …

The eight-chain model, also known as Arruda-Boyce model, is widely used to capture the
rate-independent hyperelastic response of rubber-like materials. The parameters of this …

We address the solution of constrained nonlinear systems by new linesearch quasi-Newton
methods. These methods are based on a proper use of the projection map onto the convex …

Gas distribution networks traditionally maintain constant pressure setpoints at regulating
stations, ensuring a consistent supply to end-users with a high safety margin. However, the …

A nonmonotone trust-region method for the solution of nonlinear systems of equations with
box constraints is considered. The method differs from existing trust-region methods both in …

In this paper, we propose two complementary variants of the projected Levenberg–
Marquardt (LM) algorithm for solving convex constrained nonlinear equations. Since the …

We introduce an inexact Gauss–Newton trust-region method for solving bound-constrained
nonlinear least-squares problems where, at each iteration, a trust-region subproblem is …

Spectral residual methods are derivative-free and low-cost per iteration procedures for
solving nonlinear systems of equations. They are generally coupled with a nonmonotone …

Modeling of industrial plants, and especially energy systems, has become increasingly
important in industrial engineering and the need for accurate information on their behavior …