Sentence examples for finite difference third-order from inspiring English sources

We use the following eight algorithms: maximum slope gradient, maximum downhill slope gradient, second-order finite difference, third-order finite difference, third-order finite difference weighted by reciprocal of squared distance, third-order finite difference weighted by reciprocal of distance, frame finite difference and simple difference.

Based on the unsteady time-splitting method and the non-oscillatory, containing no free parameters, and dissipative (NND) scheme, the gas kinetic finite difference second-order scheme is constructed for the computation of the discrete velocity distribution functions.

The basic numerical scheme corresponds to a central second-order finite difference method, third-order Runge Kutta integration in time for the advective terms and an alternating direction implicit (ADI) scheme for the viscous and diffusive terms.

In this case, for a second order finite difference scheme, a second order convergence of the numerical solution to the exact solution is easily verified.

Motivated by the problem of solving the Einstein equations, we discuss high order finite difference discretizations of first order in time, second order in space hyperbolic systems.

The hybrid spatial scheme includes Fourier spectral accuracy in two directions and sixth-order compact finite differences for first and second-order wall-normal derivatives, while time marching can be up to fourth-order accurate.

The precision of finite-difference is fourth-order in space and second-order in time.

This approach solves the equations of motion in three-dimensional Cartesian coordinates with viscoelastic constitutive equations, using a finite difference method to fourth order in space and second order in time.

The fourth-order finite volume and finite difference and the sixth-order finite difference schemes which belong to this family are provided.

A finite difference method with second-order accuracy is used to solve the numerical model.

The resulting schemes involve three levels finite difference approximations with second order accuracies.