A Program for a Locally-Parametrized Continuation Process.
PITTSBURGH UNIV PA INST FOR COMPUTATIONAL MATHEMATICS AND APPLICATIONS
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The study of many equilibrium phenomena leads to non-linear equations which involve a number of intrinsic parameters. Interest then centers rarely on the determination of a few specific solutions of the equations for fixed parameter values but rather on an assessment of the behavior of these solutions under general variations of the parameters. For example, in structural analysis the parameters may characterize load points and load directions, material properties, geometrical data, etc. The set of all solutions and associated parameter values has been called the equilibrium surface of the structure. This equilibrium surface provides considerable insight into the behavior of the structure and the stbility properties. From a numerical viewpoint the question then is to analyze computationally the shape and characterize particular features of this equilibrium surface.
- Theoretical Mathematics