Estimation of numerically stable step-size for neutral delay-differential equations via spectral radius

[摘要] We derive the estimates of numerically stable step-size for systems of neutral delay-differential equations (NDDEs), which only need to be calculated the spectral radius of the corresponding matrices. The stable step-size for numerical integration of NDDEs can be easily selected by means of the estimates. The stability regions of both linear multistep methods and explicit Runge-Kutta methods are presented.

[发布日期] 1997-02-17

[关键词] numerical stability region;neutral delay-differential equations;underlying numerical methods for ODEs;stable step-size