Several years ago, I was intensively studying semilinear biharmonic elliptic equations, a
topic quite far away from suspension bridges. In 2009, I was invited at a conference in …

A one-dimensional reaction–diffusion–convection problem is numerically solved by a finite
element method on two layer-adapted meshes, Duran-type mesh and Duran–Shishkin-type …

This article deals with the development of an optimized third-derivative hybrid block method
for integrating general second order two-point boundary value problems (BVPs) subject to …

The R package bvpSolve for the numerical solution of Boundary Value Problems (BVPs) is
presented. This package is free software which is distributed under the GNU General Public …

In this article, we present a new strategy to determine an unmanned aerial vehicle trajectory
that minimizes its flight time in presence of avoidance areas and obstacles. The method …

The library QIBSH++ is a C++ object oriented library for the solution of Quasi Interpolation
problems. The library is based on a Hermite Quasi Interpolating operator, which was derived …

The Melan beam equation modeling suspension bridges is considered. A slightly modified
equation is derived by applying variational principles and by minimizing the total energy of …

There are two types of ordinary differential equations (ODEs): initial value problems (IVPs)
and boundary value problems (BVPs). While many probabilistic numerical methods for the …

Optimal control problems arise in many applications and need suitable numerical methods
to obtain a solution. The indirect methods are an interesting class of methods based on the …

We show the main features of the MATLAB code HOFiD_UP for solving second order
singular perturbation problems. The code is based on high order finite differences, in …