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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The first was attributed to the Euler approximation used with the predictive control switching that continuously tracks the reference currents [23], which was confirmed with a dynamic condition of stepping the output filter inductance from 50 mH to 100 mH.
Based on Euler approximation, the discretization scheme for [S.sup.[dagger].sub.t,[epsilon]] is as follows:
(2006a) use a first-order Euler approximation to Equation (6.1) in order to implement the models: