In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...

Abstract: We study the conditions for the unique response in a class of nonlinear control systems subject to random inputs using statistical linearization approximation. As in the case of sinusoidal ...

We present a method for solving nonlinear eigenvalue problems (NEPs) using rational approximation. The method uses the Antoulas\textendash Anderson algorithm (AAA) of Nakatsukasa, Sète and Trefethen ...

Journal of Computational Mathematics, Vol. 25, No. 6 (November 2007), pp. 645-660 (16 pages) We study galvanic currents on a heterogeneous surface. In electrochemistry, the oxidation-reduction ...

This paper offers a qualitative theoretical analysis of the error that may arise when a linear programming calculation is used to solve a problem involving some ...

@sergio-dorado reported an issue over email that I will add below. When attempting to linearize certain blocks (e.g. the delay=Modelica.Blocks.Nonlinear.FixedDelay model), any Modelica tool should ...