A Memory-Efficient Formulation of Precise-Integration Time-Domain Method With Riccati Matrix Differential Equations
A Memory-Efficient Formulation of Precise-Integration Time-Domain Method With Riccati Matrix Differential Equations
复制标题
具有 Riccati 矩阵微分方程的精确积分时域方法的内存有效形式
DOI：
10.1109/tmag.2019.2952152
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发表时间：
2020-01
影响因子：
2.1
通讯作者：
Yin Shuli
中科院分区：
文献类型：
--
作者：
Zhu Xiaojie;Ma Xikui;Shao Jinghui;Yin Shuli
A novel numerical method, referred to as the Riccati precise-integration time-domain (Riccati-PITD) method, is proposed to reduce the memory requirement of the conventional PITD method. In the Riccati-PITD method, the electromagnetic field components of the transverse electric/transverse magnetic (TE/TM) wave are arranged in a matrix for constructing the Riccati matrix differential equations (RDEs) about Maxwell’s curl equations. Then the precise integration technique is adopted for the numerical integration of the RDEs. Theoretical analyses about the memory requirements of the conventional and the Riccati-PITD methods are presented. It is found that the memory requirement can be more greatly reduced by solving the electromagnetic-field components in the form of the matrices in the Riccati-PITD method rather than in the form of the vectors in the conventional PITD method. Numerical examples are also given to confirm that the proposed method has significant advantages over the conventional PITD method with respect to the execution time and the memory requirement.
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影响因子：
2.1
作者：
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DOI：
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期刊：
--
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