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Solution Methods

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Multidimensional Signals and Systems

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Abstract

The Sturm-Liouville transformation for initial-boundary-value problems requires the solution of eigenvalue problems for the involved spatial differentiation operators. The key problem, the calculation of a matrix exponential, is discussed in detail for problems with one space variable. The presented method is extended to problems with two or three space variables when separation of variables is applicable. Finally, a seven-step method for the solution of initial-boundary-value problems summarizes the results of this chapter.

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References

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Authors and Affiliations

  1. Multimedia Communications and Signal Processing, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Erlangen, Germany

    Rudolf Rabenstein

  2. Digital Communications, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Erlangen, Germany

    Maximilian Schäfer

Authors
  1. Rudolf Rabenstein
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  2. Maximilian Schäfer
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Rabenstein, R., Schäfer, M. (2023). Solution Methods. In: Multidimensional Signals and Systems. Springer, Cham. https://doi.org/10.1007/978-3-031-26514-3_11

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  • DOI: https://doi.org/10.1007/978-3-031-26514-3_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-26513-6

  • Online ISBN: 978-3-031-26514-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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