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Original Articles

Dynamic programming treatment of the finite element method for two-point boundary value problems Footnote

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Pages 137-151 | Received 01 Nov 1980, Published online: 19 Mar 2007

References

  • Ahlberg , J.H. , Nilson , E.N. and Walsh , J.L. 1967 . The Theory of Splines and Their Applications , New York : Academic Press . London
  • Angel , E. and Bellman , R. 1972 . Dynamic Programming and Partial Differential Equations , London, New York : Academic Press .
  • Bellman , R.E. and Kalaba , R.E. 1965 . Quasilinearizational and Nonlinear Boundary Value Problems , New York : American Elsevier Publishing .
  • Bellman , R. , Kashef , B.G. and Vasudevan , R. 1972 . Splines via dynamic programming . Journal of Mathematical Analysis and Applications , 38 : 471 – 479 .
  • Ciarlet , P.G. , Schultz , M.H. and Varga , R.S. 1967 . Numerical methods of high-order accuracy for nonlinear boundary value problems . Numerisch Mathematik , 9 : 394 – 430 .
  • Davis , P.J. 1975 . Interpolation and Approximation , New York : Dover Publications .
  • Distefano , N. and Samartin , A. 1975 . A dynamic programming approach to the formulation and solution of the finite element equations . Computer Methods in Applied Mechanics and Engineering , 5 : 37 – 52 .
  • Strang , G. and Fix , G.J. 1973 . An Analysis of The Finite Element Method , Prentice-Hall .

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