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PIER PIER B PIER C PIER M PIER Letters
2007-02-09
A Comparison of Marching-on in Time Method with Marching-on in Degree Method for the TDIE Solver
By
Baek-Ho Jung,

    Dr. Baek-Ho Jung

    Department of Information and Communication Engineering

    Hoseo University

    Korea

    Homepage

Zhong Ji,

    Dr. Zhong Ji

    Laird Technologies

    USA

    Homepage

Tapan Kumar Sarkar,

    Professor Tapan Kumar Sarkar

    Department of Electrical Engineering and Computer Science

    Syracuse University

    USA

    Homepage

Magdalena Salazar-Palma,

    Dr. Magdalena Salazar-Palma

    Dept. Signal Theory and Communications, Escuela Politecnica

    Universidad Carlos III de Madrid

    Spain

    Homepage

Mengtao Yuan

    Dr. Mengtao Yuan

    Cadence Design Systems Inc.

    USA

    Homepage

, Vol. 70, 281-296, 2007
doi:10.2528/PIER07013002
Abstract
One of the most popular methods to solve a time-domain integral equation (TDIE) is the marching-on in time (MOT) method. Recently, a new method called marching-on in degree (MOD) that uses Laguerre polynomials as temporal basis functions has been developed to eliminate the late time instability of the MOT method. The use of an entire domain basis for the time variable eliminates the requirement of a Courant condition, as there is no time variable involved in the field calculation. This is possible as in the procedure the time and the space variables can be separated analytically. A comparison is presented between these two methods from the standpoint of formulation, stability, cost, and accuracy. Numerical results are presented to illustrate these features in the comparison.
Citation
Baek-Ho Jung, Zhong Ji, Tapan Kumar Sarkar, Magdalena Salazar-Palma, and Mengtao Yuan, "A Comparison of Marching-on in Time Method with Marching-on in Degree Method for the TDIE Solver," , Vol. 70, 281-296, 2007.
doi:10.2528/PIER07013002
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