Numerical methods for extremal problems in the calculus of variations and optimal control theory

Author:
John Gregory

Journal:
Bull. Amer. Math. Soc. **18** (1988), 31-34

MSC (1985):
Primary 65K10, 49D29

DOI:
https://doi.org/10.1090/S0273-0979-1988-15584-X

MathSciNet review:
919654

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References | Similar Articles | Additional Information

**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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DOI:
https://doi.org/10.1090/S0273-0979-1988-15584-X