Gravitational lensing is the phenomenon of light bending around massive objects along curves in space-time, a major conclusion of the general theory of relativity. Typically a thorough working ...

Abstract: The inverted pendulum is modeled by Associated Linear Equations in its discrete version (Non-linear with Auto-Regressive inputs NARXs). Its homogeneous and particular response is evaluated ...

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We solve the Euler-Lagrange equations for $\textbf{q} = [\theta_1, \theta_2]$ such that, $$ \frac{\text{d}}{\text{d}t}\left(\frac{\partial L}{\partial \dot{\textbf{q ...

In order to understand how climate responds to changes in sea surface temperature (SST), it is common to use linear approximations, i.e. the response is assumed to vary linearly with the sign and ...

A method of successive Lagrangian formulation of linear approximation for solving boundary value problems of large deformation in finite elasticity is proposed. Instead of solving the nonlinear ...

The control of general nonlinear systems is a challenging task in particular for large-scale models as they occur in the semi-discretization of partial differential equations (PDEs) of, say, fluid ...