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

✍ Scribed by Guang-Di Hu; Guang-Da Hu; Ming-Zhu Liu

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 251 KB
• Volume: 78
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(96)00153-7

✦ Synopsis

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.