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 20 papers discuss such aspects as the curvature Veronese of a 3-manifold immersed in Euclidean space, topological formulas for closed semi-algebraic sets by Euler integration, the topological classification of simple Morse Bott functions on surfaces, critical points of the Gauss map and the exponential tangent map, and Legendre curves in the unit spherical bundle over the unit sphere and evolutes.
This is illustrated in Figures 3 and 4, which show the solution obtained with fixed-step Forward Euler integration, with step-sizes of 20 [mu]s and 2 [mu]s, respectively.
the finite difference method with the explicit and symmetrical Euler integration in time [20,21,26,27] and the pseudospectral method [29].
Euler integration is generally done without assistance.