@article{KYB_1979_15_3_a4,
author = {Dole\v{z}al, Jaroslav and Fidler, Ji\v{r}{\'\i}},
title = {On the numerical solution of implicit two-point boundary-value problems},
journal = {Kybernetika},
pages = {222--230},
year = {1979},
volume = {15},
number = {3},
zbl = {0404.65049},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1979_15_3_a4/}
}
Doležal, Jaroslav; Fidler, Jiří. On the numerical solution of implicit two-point boundary-value problems. Kybernetika, Tome 15 (1979) no. 3, pp. 222-230. http://geodesic.mathdoc.fr/item/KYB_1979_15_3_a4/
[1] A. Miele R. R. Iyer: General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutions. J. Optimization Theory Appl. 5 (1970), 5, 382-399. | MR
[2] A. Miele R. R. Iyer: Modified quasilinearization method for solving nonlinear, two-point boundary-value problems. J. Math. Anal. Appl. 36 (1971), 3, 674-692. | MR
[3] A. Miele S. Naqui A. V. Levy R. R. Iyer: Numerical solution of nonlinear equations and nonlinear, two-point boundary-value problems. In "Advances in Control Systems: Theory and Applications", Vol. 8, C. T. Leondes (ed.), Academic Press, New York 1971, 189-215.
[4] S. M. Roberts J. S. Shipman: On the Miele-Iyer modified quasilinearization method. J. Optimization Theory Appl. 14 (1974), 4, 381-391. | MR
[5] J. Fidler: The application of the modified quasilinearization method for the solution of continuous time boundary-value problems. Research Report No. 819. Institute of Information Theory and Automation, Prague 1977. In Czech.
[6] J. Doležal: On the modified quasilinearization method for discrete two-point boundary-value problems. Research Report No. 788, Institute of Information Theory and Automation, Prague 1977.
[7] J. Doležal: On a certain type of discrete two-point boundary-value problems arising in discrete optimal control. EQUADIFF 4 Conference, Prague, August 22-26, 1977. See also: Kybernetika 15 (1979), 3, 215-221. | MR
[8] J. Doležal J. Fidler: To the problem of numerical solution of implicit two-point boundary-value problems. Research Report No. 857, Institute of Information Theory and Automation, Prague 1978. In Czech.
[9] J. Doležal: Modified quasilinearization method for the solution of implicit, nonlinear, two-point boundary-value problems for systems of difference equations. The 5th Symposium on Algorithms ALGORITMY' 79, High Tatras, April 23-27, 1979. In Czech.
[10] M. R. Hestenes: Calculus of Variations and Optimal Control Theory. Wiley, New York 1966. | MR | Zbl
[11] D. G. B. Edelen: Differential procedures for systems of implicit relations and implicitly coupled nonlinear boundary-value problems. In "Numerical Methods for Differential Systems: Recent Development in Algorithm, Software, and Applications", L. Lapidus, W. E. Schiesser (eds.), Academic Press, New York 1976, 85-95. See also: In "Mathematical Models and Numerical Methods", Banach Center Publications Vol. 3, A. N. Tichonov et al. (eds.), PWN-Polish Scientific Publishers, Warszawa 1978, 289-296. | MR
[12] S. M. Roberts J. S. Shipman: Two-Point Boundary Value Problems: Shooting Methods. American Elsevier, New York 1972. | MR
[13] E. Polak: Computational Methods in Optimization: Unified Approach. Academic Press, New York 1971. | MR