Numerical Solution of Systems of Ordinary Differential Equations Computed in Arbitrary Precision, based on the Method of Lie Series

  • For the investigation of high frequency electromagnetic waves scattered at metallic bodies it is necessary to use algorithms with high accuracy. Moreover, ordinary differential equation systems play an important role in this context. Thus, the authors present an ODE-Solver based on the method of Lie Series. The algorithm is computing in arbitrary precision. An adaptive step width control enables improvement in computation time and precision. Furthermore, the authors show tests of one classical ODE-Problem plus geodesics on an ellipsoid.

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Metadaten
Author:Timo Zellmer, Rolf Poddig
URN:urn:nbn:de:bvb:863-opus-2756
Parent Title (English):Papers of 33rd International Scientific Conference "Science in Practice"
Document Type:Conference Proceeding
Language:English
Year of publication:2015
Publishing Institution:Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt
Release Date:2016/02/23
Tag:High Frequency Electromagnetic Waves; Lie Series; Ordinary Differential Equations Solver
First Page:46
Last Page:49
Institutes and faculty:Fakultäten / Fakultät Elektrotechnik
Regensburger Klassifikation:Mathematik
Technik
Licence (German):License LogoCreative Commons - Namensnennung-Keine kommerzielle Nutzung-Weitergabe unter gleichen Bedingungen
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