Integral and Direct Representations of Nonlinear Inverse Mapping

Tsutomu Matsuura; Saburou Saitoh

doi:10.4028/www.scientific.net/AMM.36.476

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Integral and Direct Representations of Nonlinear Inverse Mapping
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 36Integral and Direct Representations of Nonlinear...

Integral and Direct Representations of Nonlinear Inverse Mapping

Abstract:

In this paper we shall give practical, numerical and explicit representations of inverse mappings of n-dimensional mappings (of the solutions of n-nonlinear simultaneous equations) and show their numerical experiments by using computers. We derive those concrete formulas from very general ideas for the representation of the inverse functions.

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Periodical:

Applied Mechanics and Materials (Volume 36)

Pages:

476-484

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.36.476

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Online since:

October 2010

Authors:

Tsutomu Matsuura, Saburou Saitoh

Keywords:

Fundamental Solution, General Green-Stokes Formula, Hodge Operator, Integral Representation, Integral Transforms, Inverse Function, Inverse Mapping, Reproducing Kernel, Sobolev Space

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References

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DOI: 10.1142/9789812837332_0052

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