A numerical method for friction problems with multiple contacts

Journal of the Australian Mathematical Society Series B-Applied Mathematics

Volumn 37, Issue 3, 1996, Pages 288-308

  Stewart, David E ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007152273     PISSN: 03342700     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0334270000010675     Document Type: Article

References (19)

1. F. Al-Khayyal, "An implicit enumeration procedure for the general linear complementarity problem", Math. Prog. Study 31 (1987) 1-20.
2. R. P. Brent, "Algorithms for minimization without derivatives", in Automatic Computation, (Prentice-Hall, Englewood Cliff, NJ, 1973).
3. E. A. Coddington and N. Levinson, Theory of ordinary differential equations (Tata McGraw-Hill Publishing, New Delhi, 1972).
4. R. W. Cottle and G. B. Dantzig, "Complementary pivot theory of mathematical programming", Lin. Alg. and its Appl. 1 (1969) 103-125.
5. A. Dontchev and F. Lempio, "Difference methods for differential inclusions: A survey", SIAM Rev. 34 (1992) 263-294.
6. C. M. Elliott, "On the convergence of a one-step method for the numerical solution of ordinary differential inclusions", IMA J. Numer. Anal. 5 (1985) 3-21.
7. A. F. Filippov, "On certain questions in the theory of optimal control", SIAM J. on Control and Optim. 1 (1962) 76-84.
8. A. F. Filippov, "Differential equations with discontinuous right-hand side", Amer. Math. Soc. Transl. 42 (1964) 199-231.
9. C. W. Gear, "Numerical initial value problems in ordinary differential equations", in Automatic Computation, (Prentice-Hall, Englewood Cliff, NJ, 1973).
10. G. Golub and C. Van Loan, Matrix computations, first ed. (North Oxford Academic, 1983).
11. V. Guilleman and A. Pollack, Differential topology (Prentice-Hall, Englewood Cliffs, NJ, 1974).
12. A. Kastner-Maresch, "Diskretisierungsverfahren zur lösung von differentialinklusionen", Ph. D. Thesis, Universität Bayreuth, 1990.
13. A. Kastner-Maresch, "Implicit Runge-Kutta methods for differential inclusions", Numer. Funct. Anal. and Optim. 11 (1991) 937-958.
14. H.-D. Niepage, "Inverse stability and convergence of difference approximations for boundary value pboelmes for differential inclusions", Numer. Funct. Anal. and Optim. 9 (1987) 761-778.
15. H.-D. Niepage and W. Wendt, "On the discrete convergence of multistep methods for differential inclusions", Numer. Funct. Anal. and Optim. 9 (1987) 591-617.
16. D. E. Stewart, "A high accuracy method for solving ODEs with discontinuous right-hand side", Numer. Math. 58 (1990) 299-328.
17. D. E. Stewart, "High accuracy methods for solving ordinary differential equations with discontinuous right-hand side", Ph. D. Thesis, University of Queensland, St. Lucia, Queensland 4072, Australia, 1990.
18. K. Taubert, "Differenzverfahren für schwingungen mit trockner und zäher reibung und für reglung-systeme", Numer. Math. 26 (1976) 379-395.
19. K. Taubert, "Converging multistep methods for initial value problems involving multi-valued maps", Computing 27 (1981) 123-136.