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Discrete approximations to the Laplace transformation

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Zusammenfassung

Einige numerische Anwendungen der Transformation

$$\mathfrak{X}f = \mathop \sum \limits_{n = 0}^\infty f(nh)z^{ - n}$$

einer Funktionf(t) (sogenanntez-Transformation) werden in dieser Arbeit auf ihre mathematische Gültigkeit hin untersucht. Es zeigt sich, dass manche dieser Techniken bekannteren Differenzenmethoden sehr ähnlich sind. Die Arbeit bespricht ferner die Beziehung zwischen der Laplace-Transformation und derz-Transformation sowie zwei verbesserte diskrete Annäherungen zur Laplace-Transformation.

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References

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Authors and Affiliations

  1. Mathematics Research Center, US Army, Madison, Wis.

    Wolfgang Wasow

Authors
  1. Wolfgang Wasow
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Additional information

This paper represents research supported in part by the Office of Naval Research and in part by the Mathematics Research Center, US Army, Contract No. DA-11-022-ORD-2059.

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Wasow, W. Discrete approximations to the Laplace transformation. Journal of Applied Mathematics and Physics (ZAMP) 8, 401–417 (1957). https://doi.org/10.1007/BF01596313

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  • DOI: https://doi.org/10.1007/BF01596313

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