On a technique for high accuracy of discretizing spatial derivatives
Abstract
An analysis is given for numerical dispersion associated with a linear, onedimensional dispersion equation in cases where the space derivative is discretized by a higherorder numerical scheme. A very significant elimination of phase speed error is demonstrated, by comparison with alternative finite difference schemes. Although essentially derived from the finite Fourier transform, the method bypasses calculations using the transform algorithm required by the spectral or pseudospectral technique.
 Publication:

Innovative Numerical Analysis for the Engineering Sciences
 Pub Date:
 1980
 Bibcode:
 1980inae.symp..223L
 Keywords:

 Advection;
 Computational Fluid Dynamics;
 Finite Difference Theory;
 Fourier Transformation;
 Wave Dispersion;
 Algorithms;
 Linear Equations;
 Phase Velocity;
 Spectrum Analysis;
 Velocity Errors;
 Fluid Mechanics and Heat Transfer