Computer Algebraic Manipulation for the Calculus of Variations, The Maximum Principle, and Automatic Control
HAWAII UNIV HONOLULU
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This report describes how to use a computer algebra system such as MACSYMA to slve variational optimization problems analytically. For a calculate of variations problem, the user merely provides expressions for the integrand of the functional and any constraints. From these expressions, a program derives the specific Euler-Lagrange equations together with first integrals when the augmented functional is free of the independent andor any dependent variables. Other programs may then be used to construct families of analytical solutions to these differential equations and to obtain the particular solutions that satisfy given boundary conditions.
- Theoretical Mathematics
- Computer Hardware