The shooting method for the solution of ordinary differential equations: A control-theoretical perspective

International Journal of Systems Science

Volumn 32, Issue 8, 2001, Pages 1047-1053

  Schaerer, Christian E ^a   Kaszkurewicz, Eugenius ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; MATRIX ALGEBRA; OPTIMIZATION; ORDINARY DIFFERENTIAL EQUATIONS; STATE SPACE METHODS;

ITERATIVE SHOOTING METHOD; STATE SPACE LINEAR SYSTEMS;

FEEDBACK CONTROL;

EID: 0035437156     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720010015681     Document Type: Article

References (14)

1. Ascher, U., Matthen, R. M. M., and Russell, R. D., 1995, Numerical Solution of Boundary Value Problems for Ordinary Differential Equations (Philadelphia, Pennsylvania: Society for Industrial and Applied Mathematics).
2. Âstrôm, K. J., and Wittenmar K B., 1990, Computer-Controlled Systems: Theory and Design, second edition (Englewood Cliffs, New Jersey: Prentice-Hall).
3. Greenbaum, A., 1997, Iterative Methods for Solving Linear Systems (Philadelphia, Pennsylvania: Society for Industrial and Applied Mathematics).
4. Gôlub, G., and VanLôan, C., 1989, Matrix Computation (Baltimore, Maryland: The Johns Hopkins University Press).
5. KaszkURewicz, E., Bhaya, A., and RaMôs, P. R. V., 1995, A control-theoretic view of diagonal preconditioners. International Journal of Systems Science, 26, 1959-1672.
6. Kubicek, M., and Hlavacek, V., 1983, Numerical Solution of Nonlinear Boundary Value Problem with Applications (Englewood Cliffs, New Jersey: Prentice-Hall).
7. Lapidus, L., and Pinder, G., 1982, Numerical Solution of Partial Equations in Science and Engineering (New York: Wiley-Interscience).
8. Marôn, M. J., 1982, Numerical Analysis: A Practical Approach (London: Macmillan).
9. Ooata, K., 1970, Ingeniera de Control Moderna (Mexico: Prentice-Hall Hispanoamericana).
10. Orteoa, J., 1988, Introduction to Parallel and Vector Solution of Linear Systems (New York: Plenum).
11. Stern, V., 1981, State-Space Theory of Discrete Linear Control (New York: Wiley).
12. Varea, R., 2000, Matrix Iterative Analysis, second edition (Berlin: Springer-Verlag).
13. Vichnevetsky, R., 1981, Computer Methods for Partial Differential Equations, Vol. 1, Elliptic Equations and the Finite-Elements Method (Englewood Cliffs, New Jersey: Prentice-Hall).
14. WestLake, J., 1975, A Handbook of Numerical Matrix Inversion and Solution of Linear Equations (New York: Robert Krieger).