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 ?
Euler's method is used for the numerical solution whith the Taylor's expansion in this form (Butcher, 2003):
Numerical solution is achieved by using standard Euler's method (Butcher, 2003):
Applying Euler's method to this equation yields the difference equation
The purpose of this paper is to demonstrate the importance of Euler's method.