Weak delay-dependent stability of Rosenbrock methods for neutral delay differential equations. (Chinese. English summary) Zbl 1474.65199
Summary: The weak delay-dependent stability of the Rosenbrock methods for neutral delay differential equations is studied under the condition that the equations are delay-dependent asymptotically stable. Based on the argument principle, a sufficient condition for the weak delay asymptotic stability of Rosenbrock methods is given. Finally, numerical examples are provided to verify the effectiveness of the theoretical results.
MSC:
| 65L03 | Numerical methods for functional-differential equations |
| 34K40 | Neutral functional-differential equations |
| 65L20 | Stability and convergence of numerical methods for ordinary differential equations |
