Studies on Frequency Response Optimized Integrators Considering Second Order Derivative

Autor:	Lei, Sheng, Flueck, Alexander
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis Electrical Engineering and Systems Science - Systems and Control
Druh dokumentu:	Working Paper
Popis:	This paper presents comprehensive studies on frequency response optimized integrators considering second order derivative regarding their numerical error, numerical stability and transient performance. Frequency domain error analysis is conducted on these numerical integrators to reveal their accuracy. Numerical stability of the numerical integrators is investigated. Interesting new types of numerical stability are recognized. Transient performance of the numerical integrators is defined to qualitatively characterize their ability to track fast decaying transients. This property is related to unsatisfactory phenomena such as numerical oscillation which frequently appear in time domain simulation of circuits and systems. Transient performance analysis of the numerical integrators is provided. Theoretical observations from the analysis of the numerical integrators are verified via time domain case studies. Comment: Copyright may be transferred without notice, after which this version may no longer be accessible
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.03266 Zobrazit plný text záznamu View this record from Arxiv