Stability analysis of numerical methods for systems of neutral delay-differential equations

BIT Numerical Mathematics

Volumn 35, Issue 4, 1995, Pages 504-515

  Hu, Guang Da ^a   Mitsui, Taketomo ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

linear stability analysis; neutral delay differential equation; numerical methods; Stability region; sufficient condition of asymptotic stability; underlying numerical method for ODEs

Indexed keywords

EID: 34249759158     PISSN: 00063835     EISSN: 15729125     Source Type: Journal    
DOI: 10.1007/BF01739823     Document Type: Article

References (18)

1. Computing stability regions—Runge-Kutta methods for delay differential equations
2. Special stability problems for functional differential equations
3. Stability analysis of one-step methods for neutral delay-differential equations
4. Strong contractivity properties of numerical methods for ordinary and delay differential equations
5. On the numerical integration of a symmetric system of difference-differential equations of neutral type
6. The stability of θ-methods for systems of delay differential equations
7. Stability analysis of numerical methods for delay differential equations
8. Asymptotic stability analysis of θ-methods for functional equations
9. A stability property of A-stable natural Runge-Kutta methods for systems of delay differential equations
10. The asymptotic stability of one-parameter methods for neutral differential equations
11. The stability of the θ-methods in the numerical solution of delay differential equations
12. Stability of numerical methods for delay differential equations
13. P-stability properties of Runge-Kutta methods for delay differential equations