Delay-dependent stability of multistep Runge-Kutta methods for delay differential systems of neutral type. (Chinese. English summary) Zbl 1438.65142
Summary: Delay-dependent stability of numerical methods for delay differential systems of neutral type is considered. Based on the argument principle, a sufficent condition of weak delay-dependent stability of multistep Runge-Kutta methods for the systems is presented. Futhermore, numerical examples are given to illustrate the effectiveness of the main results.
MSC:
| 65L03 | Numerical methods for functional-differential equations |
| 34K40 | Neutral functional-differential equations |
| 65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |
| 65L20 | Stability and convergence of numerical methods for ordinary differential equations |
