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Numerical methods for extremal problems in the calculus of variations and optimal control theory
Author(s):
John
Gregory
Journal:
Bull. Amer. Math. Soc.
18
(1988),
31-34.
MSC (1985):
Primary 65K10, 49D29
MathSciNet review:
919654
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Additional information
References:
- 1.
- J. Gregory, Quadratic form theory and differential equations, Mathematics in Science and Engineering Series, Volume 152, Academic Press, 1980. MR 599362
- 2.
- J. Gregory, M. Zeman and M. Badley, A finite element approximation for the initial value problem for nonlinear second order differential equations, II: Systems, J. Math. Anal. Appl. 115 (1986), 131-139. MR 835589
- 3.
- J. Gregory and M. Zeman, Spline matrices and their applications to some higher order methods for boundary value problems, SIAM J. Numer. Anal. (to appear). MR 933732
- 4.
- P. Henrici, Discrete variable methods in ordinary differential equations, John Wiley and Sons, 1962. MR 135729
- 5.
- M. R. Hestenes, Calculus of variations and optimal control theory, John Wiley and Sons, 1966. MR 203540
- 6.
- A. A. Lyubushin, Convergence rate estimate for difference-quadrature approximations of variational problems, U.S.S.R. Comput. Math. and Math. Phys., vol. 18, Pergamon Press, 1979, pp. 24-35. MR 518271
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15584-X
PII:
S 0273-0979(1988)15584-X
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