Sentence examples for finite difference approximate from inspiring English sources

Priori estimate and second order convergence of the finite difference approximate solutions are discussed by discrete energy method.

Priori estimate and the convergence of the finite difference approximate solutions are discussed by the discrete energy method.

To analyze the discrete conservative laws of finite difference approximate solutions, the following lemmas should be introduced.

Finite differences approximate the mth derivative of a function u(x) by a series ∑j= -NNdj(m)u(xj), where the xj are the grid points.

In addition, when the derivatives are not available or are extremely expensive to compute, we approximate them by finite difference approximations having the desired accuracy to derive a new class of discrete quasi-interpolants.

A standard Galerkin finite element method is adopted to construct an approximate solution blended with a finite difference approximation for Caputo fractional time derivatives.

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.

A method is presented for modifying the truncation error of a given finite difference scheme approximating a nonlinear evolution equation.

The development is based on the use of the motion equation which is discretized by finite difference schemes approximating spatial derivatives of the displacement.

Finite difference operators approximating first and second derivatives and satisfying a summation by parts (SBP) rule have been derived for the 4th, 6th, 8th and 10th order case by using the symbolic mathematics software Maple.

Finite difference operators approximating second derivatives and satisfying a summation by parts rule have been derived for the fourth, sixth and eighth order case by using the symbolic mathematics software Maple.