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This article presents a new spectral analysis approach for dispersion errorand a methodology to numerically evaluate it. In practice, this new analysisallows the numerical study of dispersion errors on all types of mesh and formultiple dimensions. Nonetheless, when mesh uniformity and one-dimensionalityassumptions are imposed as in the classical method, the results of this newtechnique coincide with those of the classic method. We establish thetheoretical basis of the approach, derive a numerical methodology to evaluatedispersion errors and assess the method after a set of numerical tests onnon-uniform stretched meshes.

A general method to compute numerical dispersion errors and its application to stretched meshes