Calculation of the Transformation Kernels for the Functional Transformation Method

Conference contribution


Publication Details

Author(s): Schäfer M, Rabenstein R
Publication year: 2017
ISBN: 978-1-5386-1247-7
Language: English


Abstract

The main challenge in the application of the Functional Transformation Method is the determination of the transformation kernels for the forward and inverse Sturm-Liouville transformation. This paper presents a straightforward way for their calculation from the eigenfunctions and eigenfrequencies of the underlying physical system. The proposed form of the eigenfunctions is based on a beneficial representation of the matrix exponential. A suitable approach for the calculation of eigenfrequencies is also presented. Two extended examples demonstrate the proposed algorithms.


FAU Authors / FAU Editors

Rabenstein, Rudolf Prof. Dr.
Lehrstuhl für Multimediakommunikation und Signalverarbeitung
Schäfer, Maximilian
Lehrstuhl für Multimediakommunikation und Signalverarbeitung


How to cite

APA:
Schäfer, M., & Rabenstein, R. (2017). Calculation of the Transformation Kernels for the Functional Transformation Method. In Proceedings of the 10th International Workshop on Multidimensional (nD) Systems (nDS 2017). Zielona Góra, PL.

MLA:
Schäfer, Maximilian, and Rudolf Rabenstein. "Calculation of the Transformation Kernels for the Functional Transformation Method." Proceedings of the 10th International Workshop on Multidimensional (nD) Systems (nDS 2017), Zielona Góra 2017.

BibTeX: 

Last updated on 2019-15-04 at 16:38