TY - CHAP A1 - Zellmer, Timo A1 - Poddig, Rolf T1 - Numerical Solution of Systems of Ordinary Differential Equations Computed in Arbitrary Precision, based on the Method of Lie Series T2 - Papers of 33rd International Scientific Conference "Science in Practice" N2 - 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. KW - High Frequency Electromagnetic Waves KW - Ordinary Differential Equations Solver KW - Lie Series Y1 - 2015 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:863-opus-2756 SP - 46 EP - 49 ER -