Sentence examples for minimal dispersion error from inspiring English sources

We find the optimal finite difference coefficients that share the dispersion characteristics of the exact equation with minimal dispersion error.

We present a procedure for constructing Summation-by-Parts operators with minimal dispersion error both near and far from numerical interfaces.

This is done by demonstrating that the problem of constructing central difference stencils that have minimal dispersion error in the infinity norm can be recast into a problem of approximating a continuous function from a finite dimensional subspace with a basis forming a Chebyshev set.

The optimal linear scheme has minimum dispersion error and a dissipation error that satisfies a dispersion-dissipation relation.

Such implementation offers the advantages of high-order accuracy, minimal dispersion errors, a degree of geometrical flexibility, and parallelism.

We used the statistical analyze to select optimal solution having minimal dispersion of parameterization error.

We also carry out a discrete Fourier analysis of the one-dimensional linear rotating shallow water equations to show that the method is unconditionally stable with minimal dispersion and dissipation error.

The scheme is optimized for minimal dissipation and dispersion errors.

It is illustrated that the combination of various optimized schemes with Richardson extrapolation is not optimal for minimal dissipation and dispersion errors.

Compared to the Lax Wendroff finite-difference method, the present flux-difference Roe-splitting scheme was shown to be more robust and accurate, which offers high-resolution with minimal dissipation and dispersion errors in simulating long-duration, mutually interacting wave reflections and re-reflections that commonly occur in the tree-like arterial network.

In order to ensure correct communication of solutions on the interfaces of grids with different time step sizes, the values at intermediate-stages of the Runge Kutta time integration on the elements neighboring such interfaces are coupled with minimal dissipation and dispersion errors.