Implicit Implementation of the Weighted Backward Euler Formula

This communication describes how the weighted backward Euler formula, as applied to analyze electromechanical systems, can be implicitly implemented by replacing capacitors and inductors by resistors and voltage or current sources, respectively, and by replacing the driving functions by their first differences. This replaces the set of differential equations, which describes the capacitive voltages and the inductive currents, by a set of algebraic first difference equations.