A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations

BIT

Volumn 32, Issue 4, 1992, Pages 634-649

  In 't Hout, K J ^a  

^a LEIDEN UNIVERSITY   (Netherlands)

Author keywords

delay differential equations; interpolation procedures; numerical solution; Runge Kutta methods; stability; Subject classifications: AMS(MOS): 65L20, CR: 5.17

Indexed keywords

EID: 34249839190     PISSN: 00063835     EISSN: 15729125     Source Type: Journal    
DOI: 10.1007/BF01994847     Document Type: Article

References (14)

1. Special stability problems for functional differential equations
2. P-stable and P[α, β]-stable integration/interpolation methods in the solution of retarded differential-difference equations
3. The ϑ-methods in the numerical solution of delay differential equations
4. Stability analysis of numerical methods for delay differential equations
5. The optimal accuracy of difference schemes
6. The stability of the ϑ-methods in the numerical solution of delay differential equations
7. Trigonometric polynomials and difference methods of maximum accuracy
8. Stability of numerical methods for delay differential equations
9. The stability of difference formulas for delay differential equations
10. On the P-stability of one-step collocation for delay differential equations
11. P-Stability properties of Runge-Kutta methods for delay differential equations