Deciphering singularities by discrete methods

Tourigny, Yves; Grinfeld, Michael

doi:10.1090/S0025-5718-1994-1203737-5

Deciphering singularities by discrete methods
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by Yves Tourigny and Michael Grinfeld PDF

Math. Comp. 62 (1994), 155-169 Request permission

Abstract:

We consider the problem of estimating numerically the parameters of singularities of solutions of differential equations. We propose a novel approach which is based on discretizing the governing equation and "time-stepping" in the complex domain. Some applications to ordinary and partial differential equations are discussed.

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