Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)



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
MathSciNet review: 919654
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References [Enhancements On Off] (What's this?)

  • 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,
  • 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,
  • 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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