A Note on the Computational Stability of the Two-Step Lax-Wendroff Form of the Advection Equation
- 1 January 1972
- journal article
- Published by American Meteorological Society in Monthly Weather Review
- Vol. 100 (1) , 72-73
- https://doi.org/10.1175/1520-0493(1972)100<0072:anotcs>2.3.co;2
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.Keywords
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