Necessary conditions for the stability of difference schemes |
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Authors: | V V Kucherenko |
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Institution: | 1. Moscow Electronic Machine Building Institute, USSR
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Abstract: | For difference equations of the form un+=Aun+f nh, n ≤ T/h the necessary condition for stability due to von Neumann is well known; this condition is expressed in terms of the spectrum of the operator A: r(A)≤1+ch. In this note, for a certain class of difference equations, we express this condition in terms of the spectral radius of the symbol of the operator A. |
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