Editorial Type:
Article
Article Type:
Research Article

ON PARTIAL DIFFERENCE EQUATIONS IN MATHEMATICAL PHYSICS

ANDRÉ J. ROBERT Central Analysis Office, Meteorological Service of Canada, Toronto, Ontario

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FREDERICK G. SHUMAN National Meteorological Center, Weather Bureau, ESSA, Washington, D.C.

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JOSEPH P. GERRITY JR. National Meteorological Center, Weather Bureau, ESSA, Washington, D.C.

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Print Publication:
01 Jan 1970
DOI:
https://doi.org/10.1175/1520-0493(1970)098<0001:OPDEIM>2.3.CO;2
Page(s):
1–6
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Abstract

A rather general theory of nonlinear computational stability is reported. Instability is caused by both spatial and temporal high frequencies that, if not present initially, will appear from nonlinear interactions. It appears that through simple remedies relative stability, if not perfect stability, can be achieved.

Abstract

A rather general theory of nonlinear computational stability is reported. Instability is caused by both spatial and temporal high frequencies that, if not present initially, will appear from nonlinear interactions. It appears that through simple remedies relative stability, if not perfect stability, can be achieved.

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