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Bulletin of the American Mathematical Society

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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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  • 1. John Gregory, Quadratic form theory and differential equations, Mathematics in Science and Engineering, vol. 152, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. MR 599362
  • 2. John Gregory, Marvin Zeman, and Mohsen Badiey, A finite element approximation for the initial value problem for nonlinear second-order differential equations. II. Systems, J. Math. Anal. Appl. 115 (1986), no. 1, 131–139. MR 835589, https://doi.org/10.1016/0022-247X(86)90028-4
  • 3. John Gregory and Marvin Zeman, Spline matrices and their applications to some higher order methods for boundary value problems, SIAM J. Numer. Anal. 25 (1988), no. 2, 399–410. MR 933732, https://doi.org/10.1137/0725027
  • 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. Ljubušin, An estimate of the rate of convergence of difference-quadrature approximations of variational problems, Zh. Vychisl. Mat. i Mat. Fiz. 18 (1978), no. 6, 1385–1396, 1627 (Russian). MR 518271

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

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