Stability of some boundary value methods for IVPs. (English) Zbl 0834.65080
The stability properties of some classes of linear two-step methods of high order and involving derivatives of the solution up to order three are investigated for systems of the form \(y'(t) = K(t) y(t) + g(t)\). Computational examples are given.
Reviewer: S.L.Campbell (Raleigh)
MSC:
| 65L20 | Stability and convergence of numerical methods for ordinary differential equations |
| 65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A30 | Linear ordinary differential equations and systems |
Keywords:
boundary value methods; computational examples; stability; linear two- step methods; systemsReferences:
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