A Gautschi-type method for oscillatory second-order differential equations

Numerische Mathematik

Volumn 83, Issue 3, 1999, Pages 403-426

  Hochbruck, Marlis ^a   Lubich, Christian ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033409713     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050456     Document Type: Article

References (9)

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3. García-Archilla, B., Sanz-Serna, J., Skeel, R. (1996): Long-time-step methods for oscillatory differential equations. Applied Mathematics and Computation Reports 1996/7, Universidad de Valladolid. To appear in SIAM J. Sci. Comput.
4. García-Archilla, B., Sanz-Serna, J., Skeel, R. (1997): The modified impulse method for oscillatory differential equations. Applied Mathematics and Computation Reports 1997/5, Universidad de Valladolid. To appear in Proceedings of the 1997 Dundee Conference, D.F. Griffiths, G.A. Watson, eds.
5. García-Archilla, B., Sanz-Serna, J., Skeel, R. (1997): The modified impulse method for oscillatory differential equations. Applied Mathematics and Computation Reports 1997/5, Universidad de Valladolid. To appear in Proceedings of the 1997 Dundee Conference, D.F. Griffiths, G.A. Watson, eds.
6. Gautschi, W. (1961): Numerical integration of ordinary differential equations based on trigonometric polynomials. Numer. Math. 3: 381-397
7. Hochbruck, M., Lubich, C. (1997): On Krylov subspace approximations to the matrix exponential operator. SIAM J. Numer. Anal. 34(5): 1911-1925
8. Hochbruck, M., Lubich, C., Selhofer, H. (1998): Exponential integrators for large systems of differential equations. SIAM J. Sci. Comput., to appear
9. Petzold, L.R., Jay, L.O., Yen, J. (1997): Numerical solution of highly oscillatory ordinary differential equations. Acta Numerica 7: 437-483