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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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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References | Similar articles | 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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