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. Lecture Notes in Computer Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-38527-2_21
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DOI: https://doi.org/10.1007/978-3-662-38527-2_21
Publisher Name: Springer, Berlin, Heidelberg
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