Author(s): R. Barrere
Symbolic approximations based on series expansions can be improved by
A heuristic algorithm developed in the field of
combinatorics is examined from the functional point of view.
This process may
reconstitute the exact solution, or lead to approximations by partial summation.
The modeling of physical systems or processes often leads to equations without
known closed-form solution, thus entailing the failure of computer algebra
However in that case, function space methods may give access to
symbolic approximation techniques.
In particular, successive approximations,
Newton's symbolic method, perturbation expansions and the Galerkin
procedure have been considered from that point of view .
This investigation was motivated by the re...
Size: 709 kb
Paper DOI: 10.2495/IMS970091
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