Regular Article: On a Class of Padé Finite Volume Methods

A class of Pade finite volume methods providing an improved spectral resolution is presented and compared with well-known methods. The formulation is based on the sliding averages of the variables and allows the computation of derivatives of all orders. Using the Fourier analysis, these methods are examined with respect to (i) order of accuracy, (ii) spectral resolution, (iii) boundary conditions, and (iv) stability.

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