Calculation of the Transformation Kernels for the Functional Transformation Method
Schäfer M, Rabenstein R (2017)
Publication Language: English
Publication Type: Conference contribution
Publication year: 2017
Event location: Zielona Góra
ISBN: 978-1-5386-1247-7
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.
Authors with CRIS profile
Maximilian Schäfer
Lehrstuhl für Multimediakommunikation und Signalverarbeitung (LMS)
Rudolf Rabenstein
Lehrstuhl für Multimediakommunikation und Signalverarbeitung (LMS)
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: Download