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计算数学 1979
THE DANGEROUS PROPERTY OF NUMERICAL METHODS OF STIFF DIFFERENTIAL EQUATIONS
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Abstract:
A numerical method of stiff equations has "dangerous property" if it can notdiscover the instability of the system. The reason why the general methods make thisdangerous property is analysed in this paper. We also point out that the methodproposed in 4] does not have this dangerous property. B. Lindberg has showed astwo examples in 2]. He could not get the correct solution with the general methods(e.g. Gear's). However by the same examples the method in 4] detected the ap-pearance of eigenvalue with positive real immediately in the computing procedure.