EXACT PARAMETER SPACE REDUCTION FOR NUMERICALLY INTEGRATING PARAMETERIZED DIFFERENTIAL EQUATIONS

摘要

In a computational environment including at least one processor, an example method of reducing the number of parameters in a model of a physical system includes receiving an initial model such as a system of differential algebraic equations (DAEs), eliminating isolated parameters (if any) from the initial model, extracting parameter sub-expressions from the DAEs, establishing minimal disconnected clusters of parameter subexpressions, and for each cluster, attempting to generate a reduced cluster having a reduced number of parameters using one or more algorithms. If more than one approach is successful, that which is most successful in reducing the number of parameters is selected. A revised model is created having fewer parameters than the initial model.