A Note on the Computational Stability of the Two-Step Lax-Wendroff Form of the Advection Equation

JOSEPH P. GERRITY JR. National Meteorological Center, National Weather Service, NOAA, Suitland, Md.

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Abstract

It is shown by elementary analysis that the two-step Lax-Wendroff method for integrating the advection equation is subject to nonlinear computational instability. The source of the instability lies in the possibility of lattice separation in the field of the advecting coefficient.

Abstract

It is shown by elementary analysis that the two-step Lax-Wendroff method for integrating the advection equation is subject to nonlinear computational instability. The source of the instability lies in the possibility of lattice separation in the field of the advecting coefficient.

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