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IMA Journal of Numerical Analysis

Volumn 21, Issue 1, 2001, Pages 421-438

Using resolvent conditions to obtain new stability results for θ-methods for delay differential equations

(1) Van Den Heuvel, E G a

a LEIDEN UNIVERSITY (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS;

DELAY DIFFERENTIAL EQUATIONS; ERROR GROWTH; NUMERICAL EXPERIMENTS; NUMERICAL PROCESS; STABILITY REGIONS; STABILITY RESULTS; TEST PROBLEM; THEORETICAL BOUNDS;

ERRORS;

EID: 0035529773 PISSN: 02724979 EISSN: None Source Type: Journal
DOI: 10.1093/imanum/21.1.421 Document Type: Article

Times cited : (6)

References (11)

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- Calvo, M.¹ Grande, T.²

2
- 0004094304
- New York: John Wiley & Sons
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- Henrici, P.¹

3
- 34249839190
- A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
- HOUT, K. J. IN 'T 1992 A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations. BIT 32, 634-649.
- (1992) BIT , vol.32 , pp. 634-649
- Hout, K.J.I.¹

4
- 0001044031
- Asymptotic stability analysis of θ-methods for functional differential equations
- JACKIEWICZ, Z. 1984 Asymptotic stability analysis of θ-methods for functional differential equations. Numer. Math. 43, 389-396.
- (1984) Numer. Math. , vol.43 , pp. 389-396
- Jackiewicz, Z.¹

5
- 0000714267
- The stability of the θ-methods in the numerical solution of delay differential equations
- LIU, M. Z. & SPIJKER, M. N. 1990 The stability of the θ-methods in the numerical solution of delay differential equations. IMA J. Numer. Anal. 10, 31-48.
- (1990) IMA J. Numer. Anal. , vol.10 , pp. 31-48
- Liu, M.Z.¹ Spijker, M.N.²

6
- 0031210214
- Numerical stability, resolvent conditions and delay differential equations
- SPIJKER, M. N. 1997 Numerical stability, resolvent conditions and delay differential equations. Appl. Numer. Math. 24, 233-246.
- (1997) Appl. Numer. Math. , vol.24 , pp. 233-246
- Spijker, M.N.¹

7
- 21344462327
- Stability estimates for families of matrices of nonuniformly bounded order
- SPIJKER, M. N. & STRAETEMANS, F. A. J. 1996 Stability estimates for families of matrices of nonuniformly bounded order. Lin. Alg. Appl. 239, 77-102.
- (1996) Lin. Alg. Appl. , vol.239 , pp. 77-102
- Spijker, M.N.¹ Straetemans, F.A.J.²

8
- 0007060136
- Using resolvent conditions to obtain new stability results for θ-methods for delay differential equations
- Mathematical Institute, Leiden University
- VAN DEN HEUVEL, E. G. 1998 Using resolvent conditions to obtain new stability results for θ-methods for delay differential equations. Report TW-98-01. Mathematical Institute, Leiden University.
- (1998) Report TW-98-01
- Van Den Heuvel, E.G.¹

9
- 84972047930
- Linear stability analysis in the numerical solution of initial value problems
- VAN DORSSELAER, J. L. M., KRAAIJEVANGER, J. F. B. M., & SPIJKER, M. N. 1993 Linear stability analysis in the numerical solution of initial value problems. Acta Numerica 1993, 199-237.
- (1993) Acta Numerica , vol.1993 , pp. 199-237
- Van Dorsselaer, J.L.M.¹ Kraaijevanger, J.F.B.M.² Spijker, M.N.³

10
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- The stability of difference formulas for delay differential equations
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11
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- P-stability properties of Runge-Kutta methods for delay differential equations
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- Zennaro, M.¹

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