discretization

(redirected from Discretization method)
Also found in: Dictionary.

discretization

[dis‚krēd·ə′zā·shən]
(mathematics)
A procedure in the numerical solution of partial differential equations in which the domain of the independent variable is subdivided into cells or elements and the equations are expressed in discrete form at each point by finite difference, finite volume, or finite element methods.
References in periodicals archive ?
From the discretization method (9) we obtain an horizon of the visible Universe at redshift z = 1.
An adaptive regularization and discretization method is developed in Griesbaum, Kaltenbacher, Vexler [10] and Kaltenbacher, Kirchner, Vexler [15] for linear and non-linear inverse problems, respectively.
We have described in detail the discretization method for elliptic PDEs on polyhedral meshes introduced by Copeland, Langer, and Pusch [8], and analyzed it in the special case of the 3D Laplace equation.
They cover the electrochemistry, governing equations, discretization methods, system response, battery system models, estimation, and battery management systems.
Unlike other commonly used discretization methods, SPH represents space with points that can move with materials, such as polymers or liquids, a process called the Lagrangian method (vs.
1) by discretization methods, motivated us for the present work.
The author first describes discretization methods for convection-diffusion-reaction equations with linear or nonlinear convection parts in 2D or 3D, direct and iterative solver methods, and splitting methods for parabolic differential equations.
The direct techniques for solving dynamic optimization problems fall under two broad frameworks: variational and discretization methods (Adjiman et al, 1998).
One approach to achieve accurate solutions with reduced computational costs in very large scale models and simulations is to use higher-order discretization methods.
Discretization methods can be divided into two groups: mathematical (with global approximation of displacement state--for ex.