A similar discretised numerical approach is being made to the equations of general relativity.

Now, the exact form of the final discretised equation depends on the value of .

This can be rearranged to give the discretised equation for interior nodes:

Here the Discretised continuity equation is used to derive the correct intermediate pressure field instead of the correction pressure.

As the mesh for the computations is moving, there should be an extra advection term in the discretised momentum equation.

The value of changes with the method used to solve the discretised equation, especially depending on whether the method is explicit or implicit.

Another essential requirement for Boundedness is that all coefficients of the discretised equations should have the same sign (usually all positive).

Finite element theory applied to elasticity - equilibrium of the discretised body; element stiffness.

The discretised equation is:

Each integral term is then converted into a discrete form, thus yielding discretised equations at the centroids, or nodal points, of the control volumes.

The technique relies on the solution of a predictor equation for the discretised probability density functions for the particles velocities and positions.

Then, the values of the function of the grids would have to be iteratively adjusted so that the discretised equation would be satisfied.

Iterations were terminated when the cumulative residual for the discretised transport equation for momentum, continuity, and enthalpy fell below 1 x 10-10.

In this programme the work will involve the development of discretised versions of general relativity and an evaluation of what they have to say about the early universe.

In any discretised wavelet transform, there are only a finite number of wavelet coefficients for each bounded rectangular region in the upper halfplane.

The Scarborough criterion formulated by Scarborough (1958), can be expressed in terms of the values of the coefficients of the discretised equations:

A finite difference scheme is compact in the sense that the discretised formula comprises at most nine point stencils which includes a node in the middle about which differences are taken.

As the coefficients of the discretised equation are always positive hence satisfying the requirements for boundedness and also the coefficient matrix is diagonally dominant therefore no irregularities occur in the solution.

In formulating QCD on a space time lattice, the first step is to construct lattice discretised versions of QCD operators which reproduce the continuum operators as the lattice spacing tends to zero.

A relationship describing the shear-strength profile of a desiccating soil deposit is essential for the purpose of analysis, especially when a numerical method is adopted where each zone in a discretised grid is assigned an elevation-dependent shear-strength value.

As the ray passes from one plane of the data volume to the next, the closest voxel to the ray path is chosen, so that the discretised ray path is a zig-zag through the volume about the actual ray.

We have now taken the work further and are in the process writing these new ideas up. Essentially, we have formulated very precisely how the discretised equations defined on one particular lattice are related to those on a lattice twice as big.