Abstract
Improving the quality of the results by lowering the numerical integration index requires that the velocity constraints be used together with the corresponding geometrical constraints. An STF (Sparse Tableaux Formulation) implemented in the original ADAMS increases the size of the problem, and therefore, the size of the Dynamic Jacobean Matrix in a BDF (Backwards Difference Formula) scheme. The sparse matrix technique increases the number of operations by N1.3–1.7, where N is the number of rows, of the structured Dynamic Jacobeans. Hence, reducing the number of equations, at the same time maintaining a reasonable sparsity and ignoring some small value terms, will improve the computation speed during numerical integration.
The method that is used to accomplish this task is the one described by Fuhrer and Leimkuhler. It suggests a partition of the Dynamic Jacobeans and two solving steps of two BDF corrector formulas. This idea fits into STF only if two sparse matrix symbolic codes are generated. Here the method is called. Using a real example, this paper compares the results of the 2-Steps method with the results obtained by means of the I2 (index 2) having stabilization as needed.
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Orlandea, N. (2010). Comparative Study of Two Index Two Methods Applied to Original ADAMS Computer Program. In: Visa, I. (eds) SYROM 2009. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3522-6_3
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DOI: https://doi.org/10.1007/978-90-481-3522-6_3
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