中国科技论文
中國科技論文
중국과기논문
Sciencepaper Online
2012年
1期
49-51,63
,共4页
肖飞%唐小宏%王玲%吴涛
肖飛%唐小宏%王玲%吳濤
초비%당소굉%왕령%오도
时域有限差分算法%稳定性分析%Jury准则
時域有限差分算法%穩定性分析%Jury準則
시역유한차분산법%은정성분석%Jury준칙
finite-difference time-domain method%stability analysis%Jury test
在分析过程中要找出对应特征多项式的所有的根是相当困难的,尤其是对于高阶算法而言。为了解决这个问题,控制领域中的Jury准则将被引入,它仅需要使用特征多项式的系数而不需要直接求解整个方程获得所有的根。因此,使用它可以简化算法的稳定性分析,2个实例验证了它的有效性。
在分析過程中要找齣對應特徵多項式的所有的根是相噹睏難的,尤其是對于高階算法而言。為瞭解決這箇問題,控製領域中的Jury準則將被引入,它僅需要使用特徵多項式的繫數而不需要直接求解整箇方程穫得所有的根。因此,使用它可以簡化算法的穩定性分析,2箇實例驗證瞭它的有效性。
재분석과정중요조출대응특정다항식적소유적근시상당곤난적,우기시대우고계산법이언。위료해결저개문제,공제영역중적Jury준칙장피인입,타부수요사용특정다항식적계수이불수요직접구해정개방정획득소유적근。인차,사용타가이간화산법적은정성분석,2개실례험증료타적유효성。
Stability analysis is very important for the application of finite-difference time-domain (FDTD) methods. However, to find out all roots of a characteristic polynomial in stability analysis of the FDTD methods is a very difficult task, especially for high-order accurate FDTD methods. The Jury test in automatic control theory is introduced in detail, which only uses those coefficients of the characteristic polynomial for stability analysis instead of directly solving it. Such treatment can simplify the procedure of stability analysis. The Jury test is successfully applied in stability analysis of two typical FDTD methods.