Abstract
An algorithm for the approximate solution of two point boundary value problems of Class C2 is given. A simple version having one check point at the center of each polynomial segment results in an algorithm which is easy to program and very efficient. Computer test runs with a Newton-Raphson iterator and numerical differentiation to generate the partial derivatives required show a fast convergence compared to extremal field methods and gradient methods in function space.
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© 1975 Springer-Verlag Berlin Heidelberg
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Dickmanns, E.D., Well, K.H. (1975). Approximate solution of optimal control problems using third order hermite polynomial functions. In: Marchuk, G.I. (eds) Optimization Techniques IFIP Technical Conference Novosibirsk, July 1–7, 1974. Optimization Techniques 1974. Lecture Notes in Computer Science, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07165-2_21
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DOI: https://doi.org/10.1007/3-540-07165-2_21
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