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- W1977799555 abstract "This paper deals with stability properties of Runge–Kutta methods for the initial value problem in nonlinear neutral delay differential equationsy′(t)=f(t,y(t),y(t-τ),y′(t-τ)),t⩾0,y(t)=φ(t),t∈[-τ,0].The new concepts of GS(l)-stability, GAS(l)-stability and Weak GAS(l)-stability are introduced, and it is shown that (k,l)-algebraically stable Runge–Kutta methods with piecewise linear interpolation are GS(l)-, GAS(l)- and Weakly GAS(l)-stable. Two numerical examples are given in the end of this paper which confirm our results." @default.
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- W1977799555 date "2008-04-01" @default.
- W1977799555 modified "2023-09-30" @default.
- W1977799555 title "Nonlinear stability of Runge–Kutta methods for neutral delay differential equations" @default.
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- W1977799555 doi "https://doi.org/10.1016/j.cam.2007.02.031" @default.
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