Euler method

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Euler method

[′oi·lər ‚meth·əd]
(mathematics)
A method of obtaining an approximate solution of an ordinary differential equation of the form dy / dx = f (x, y), where f is a specified function of x and y. Also known as Eulerian description.
(mechanics)
A method of studying fluid motion and the mechanics of deformable bodies in which one considers volume elements at fixed locations in space, across which material flows; the Euler method is in contrast to the Lagrangian method.
References in periodicals archive ?
The trapezoidal strategy relies its operation on a discrete trapezoidal linear approximation that more accurately determines the switching of the active filter for the one-step ahead current sample, such that three significant advantages are potentially exhibited: first, the trapezoidal predictive controller slightly increments the processing time without affecting the switching of the power converter; second, in contrast to the typical Euler approximation used in other works [6,7,13-20], the trapezoidal method generates lower AC current ripple; and third, the convergence time and load operating performance are wider than those obtained using the typical predictive control strategy, which improves the reference current tracking and, therefore, the power quality.
The APF was operated with the aid of a PLL [22] and driven with either the trapezoidal predictive controller (9) or a typical predictive controller that uses the Euler approximation of
2006a) use a first-order Euler approximation to Equation (6.