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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Deciphering singularities by discrete methods

Authors: Yves Tourigny and Michael Grinfeld
Journal: Math. Comp. 62 (1994), 155-169
MSC: Primary 65L05; Secondary 65P05
MathSciNet review: 1203737
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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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Article copyright: © Copyright 1994 American Mathematical Society