Asymptotic stability of Runge-Kutta method for solving nonlinear functional differential-algebraic equations
Asymptotic stability of Runge-Kutta method for solving nonlinear functional differential-algebraic equations
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DOI:
10.1016/j.apnum.2022.06.007
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发表时间:
2022
影响因子:
2.8
通讯作者:
Shuiping Yang
中科院分区:
文献类型:
--
作者:
Hongliang Liu;Haodong Li;Yameng Zhang;Shoufu Li;Shuiping Yang
A Runge-Kutta method with canonical interpolation operators is constructed, which is an efficient method for a class of nonlinear functional differential-algebraic equations (FDAEs). The contractivity and asymptotic stability theories of this method are established. Some numerical experiments show the efficiency of the method for solving FDAEs.