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Author:

Sun, Gang (Sun, Gang.) | Ma, Xikui (Ma, Xikui.) | Bai, Zhongming (Bai, Zhongming.)

Indexed by:

EI

Abstract:

In this paper, the stability condition and the numerical dispersion relation of the wavelet Galerkin scheme-based precise integration time domain (WG-PITD) method are derived in a Hilbert space. The Daubechies scaling functions with high order are used as the basis functions in the spatial discretization of the WG-PITD method. It is found that the time step size of the WG-PITD method can be of a value much larger than the Courant-Friedrich-Levy (CFL) stability limitation of the finite difference time domain (FDTD) method. The Daubechies scaling functions with higher order always give smaller numerical dispersion error in the WG-PITD method. © 2011 Engineers Australia.

Keyword:

Algorithm design and analysis Courant-Friedrich-Levy stabilities Numerical dispersion relation Numerical dispersions Precise integration Scaling functions Spatial discretizations Stability condition

Author Community:

  • [ 1 ] [Sun, Gang;Ma, Xikui;Bai, Zhongming]State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'An Jiaotong University, Xi'an, Shaanxi 710049, China

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Source :

Asia-Pacific Microwave Conference Proceedings, APMC

ISSN: 9780858259744

Year: 2011

Publish Date: 2011

Page: 74-77

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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