One-step methods of any order for ordinary differential equations with discontinuous right-hand sides

Author:

Mannshardt Reinhold

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference26 articles.

1. André, J., Seibert, P.: The local theory of piecewise continuous differential equations. In: Contributions to the theory of nonlinear oscillations, Vol. 5 (L. Cesari et al., ed.), pp. 225?255. Princeton: Princeton Univ. Press 1960

2. De Backer, W.: Jump conditions for sensitivity coefficients. In: Sensitivity methods in control theory (Symp. Dubrovnik 1964; L. Radanovi?, ed.), pp. 168?175. Oxford: Pergamon Press 1966

3. Budak, B.M., Gorbunov, A.D.: On the difference method of solution of the Cauchy problem for the equationy?=f(x,y) and for the system of equationsx i ? =X i (t,x 1 ,...,x n ),i=1,...,n with discontinuous right-hand sides. Vestnik Moskov. Univ. Ser. Mat. Meh. Astr. Fiz. Him.5, 7?12 (1958) [in Russian; cf. MR.21 #157 (1960)]

4. Carver, M.B.: Efficient handling of discontinuities and time delays in ordinary differential equation simulations. In: Proceedings of the international symposium SIMULATION 1977 in Montreux (M.H. Hamza, ed.), pp. 153?158. Anaheim-Calgary-Zürich: Acta Press 1977

5. Cellier, F.E., Rufer, D.F.: Algorithm suited for the solution of initial value problems in engineering applications. In: Proceedings of the international symposium and course SIMULATION 1975 in Zürich (M.H. Hamza, ed.), pp. 160?165. Calgary-Zürich: Acta Press 1975

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