On the simulation of discontinuous functions

Journal of Applied Mechanics, Transactions ASME

Volumn 68, Issue 5, 2001, Pages 751-758

  Turner, J D ^a,b  

^a ASME   (United States)

^b UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746076037     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1387022     Document Type: Article

References (8)

1. Carver, M. B., 1978, "Efficient Integration Over Discontinuities in Ordinary Differential Equation Simulations," Math. Comput. Simul., 20, No. 3, pp. 190-196.
2. Ellison, D., 1981, "Efficient Automatic Integration Of Odes With Discontinuities," Math. Comput. Simul., 23, No. 1, pp. 12-20.
3. Enright, W. H., Jackson, K. R., Nørsett, S. P., and Thomson, P. G., 1986, "Effective Solution of Discontinuous Ivps Using a Runge-Kutta Formula Pair With Interpolants," Appl. Math. Comput., 27, pp. 313-335.
4. Filippov, A. F., 1964, "Differential Equations With Discontinuous Right Hand Side," ASM Trans. 42, pp. 199-231.
5. Halin, H. J., 1976, "Integration of Ordinary Differential Equations Containing Discontinuities," Proceedings of the Summer Computer Simulation Conference 976, La Jolla, SCI Press, La Jolla, CA, pp. 46-53.
6. Pfeiffer, F., 1984, "Mechanische Systeme mit unstetigen Übergängen," Ingenieurarchiv, 54, pp. 232-240.
7. Eich-Soellner, Edda, and Fuhrer, Claus, 1998, Numerical Methods in Multibody Dynamics, B. G. Teubner, Stuttgart.
8. Hildbrand, F. B., 1962, Advanced Calculus for Applications, Prentice-Hall, Englewood Cliffs, NJ.