Sentence examples for spatial approximation from inspiring English sources

We introduce a fully discrete scheme for the inequality, using a finite element approach for the spatial approximation and a backward finite difference to approximate the time derivative.

The spatial approximation used includes upwind differencing based on Roe's approximate Riemann solver and van Leer's MUSCL scheme, with numerically computed implicit flux linearizations.

Upwind methods are used for the spatial approximation.

The accuracy and Cauchy stability properties of the proposed spatial approximation are discussed in detail.

The step-size is chosen adaptively according to estimates of the temporal and spatial approximation errors.

This spatial approximation, combined with a leapfrog scheme in time, leads also to a fast explicit and accurate method.

Then, weak form formulation and spatial approximations of variables are utilized to discretize the equations of motion.

Finite-difference (5-point) and finite-element (9-point) spatial approximations are compared for different grid aspect ratios.

For the discretization with PML, symmetric second-, fourth-, and sixth-order spatial approximations as well as Crank Nicolson and classical Runge Kutta time-integration methods are employed.

A variety of nodal connectivity schemes leading to finite-difference, finite-element and hybrid spatial approximations in three dimensions are incorporated in the formulation.

Such choice of unknowns with the use of the Lagrange polynomials in spatial approximations of displacements through the layer thicknesses leads to a robust laminated plate formulation.