ANALYSIS OF CHARACTERISTICS OF TWO-DIMENSIONAL RUNGE-KUTTA MULTIRESOLUTION TIME-DOMAIN SCHEME | Zendy

Qunsheng Cao | Zendy; Xinlei Chen | Zendy

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ANALYSIS OF CHARACTERISTICS OF TWO-DIMENSIONAL RUNGE-KUTTA MULTIRESOLUTION TIME-DOMAIN SCHEME

Author(s) -

Qunsheng Cao,

Xinlei Chen

Publication year - 2010

Publication title -

progress in electromagnetics research m

Language(s) - English

Resource type - Journals

ISSN - 1937-8726

DOI - 10.2528/pierm10070704

Subject(s) - runge–kutta methods , scheme (mathematics) , domain (mathematical analysis) , computer science , multiresolution analysis , mathematics , mathematical analysis , computer vision , numerical analysis , wavelet , wavelet transform , discrete wavelet transform

In this paper, the stability condition of the Runge- Kutta m-order multiresolution time-domain (RKm-MRTD) scheme has been studied. By analyzing the ampliflcation factors, we derive the numerical dispersion relation of the RK-MRTD scheme. The numerical dispersive and dissipative errors are investigated. Finally, the theoretical predictions of the numerical errors are calculated through the numerical simulations.

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