Sentence examples for most finite difference from inspiring English sources

In most finite difference and finite element formulations, all the solution variables except the velocities are cell-centered while the velocities are edge- or vertex-centered.

In this section we present a completely general approach from which most finite difference algorithms may be derived.

As pointed out above, most researchers used finite difference schemes for the spatial discretizations of time-delay partial differential equations to get a system of ODEs with time delays.

In most cases, people use finite difference schemes to generate solutions of such model problems.

This review will describe and discuss the numerical anisotropy in the framework of wave equation and will present some of the most important optimizations of finite difference schemes in the context of reducing the numerical anisotropy.

We also investigate different finite difference and finite element formulations.

Various techniques have been applied in the simulation of hydraulically fractured wells using finite difference simulators; most of these techniques are limited by the grid dimensions and computing time and hardware restrictions.

On the other hand, conventional numerical schemes need continuous solutions (i.e., finite difference method) and most of them were not designed to capture contact discontinuities, for instance, compressive or rarefaction shock.

In MMs the spatial domain is represented by a set of nodes (cloud of points) and not discretized by elements as in most of the mesh-based methods (finite difference method, finite element method, finite volume method); consequently, there is no need for predefined connectivity between the nodes.

This is most likely because instead of using finite difference approximation of the gradient in the optimization problem, we utilize sensitivity equations, yielding a more robust calculation of the gradient, which also seems to influence the precision of parameter estimates.

Most optimized finite-difference schemes for modeling seismic-wave propagation suppress only spatial but not temporal dispersion errors.