Solving differential equations by event driven techniques for parameter optimization

Article type: Research Article

Authors: Kuryla, Henrikas | Mockus, Jonas

Affiliations: Institute of Mathematics and Informatics, 2600 Vilnius, Akademijos St. 4, Lithuania

Abstract: In this paper we consider the numerical solution of the large system of nonlinear differential equations. We assume that the system simulates the semiconductor circuit. We apply the well known event driven techniques to get some approximation of solution fast. We extend those techniques by considering pairs of nodes, instead of single nodes, as usual. The “pairwise” solution is more efficient in tightly coupled circuits. The improvement of efficiency of solution is important optimizing the parameters of circuits. In many cases we need the global optimization of equation parameters. Then, the modeling speed could be the main factor of successful application.

Keywords: numerical methods, differential equations, circuits, optimization

DOI: 10.3233/INF-1994-53-405

Journal: Informatica, vol. 5, no. 3-4, pp. 338-350, 1994