Bilbao, Stefan

Hamilton, Brian

English

Brian Hamilton

Stefan Bilbao

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On Finite Difference Schemes for the 3-D Wave Equation Using Non-cartesian Grids

NEUROSURGERY ENTHUSIASTIC WOMEN SOCIETY

In this paper, we investigate ﬁnite difference schemes forthe 3-D wave equation using 27-point stencils on the cubiclattice, a 13-point stencil on the face-centered cubic (FCC)lattice, and a 9-point stencil on the body-centered cubic(BCC) lattice. The tiling of the wavenumber space for nonCartesian grids is considered in order to analyse numericaldispersion. Schemes are compared for computational efﬁ-ciency in terms of minimising numerical wave speed error.It is shown that the 13-point scheme on the FCC lattice ismore computationally efﬁcient than 27-point schemes onthe cubic lattice when less than 8% error in the wave speedis desired

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Finite-difference methods for partial differential equations.

Uber die partiellen differenzengleichungen der mathematischen physik,”

ON FINITE DIFFERENCE SCHEMES FOR THE 3-D WAVE EQUATION USING NON-CARTESIAN GRIDS

ON FINITE DIFFERENCE SCHEMES FOR THE 3-D WAVE EQUATION USING NON-CARTESIAN GRIDS

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NEUROSURGERY ENTHUSIASTIC WOMEN SOCIETY

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