Sensitivity Analysis and Software for Differential-Algebraic Systems



YANG CAO
University of California Santa Barbara
Santa Barbara, CA 93106, USA


ycao@cs.ucsb.edu



Abstract:  Although much work has been devoted to understanding differential-algebraic equation (DAE) systems and developing numerical methods and software for the simulation problem, until recently relatively little work has been done regarding sensitivity analysis for this class of problems. Efficient methods for sensitivity analysis are required in model development, uncertainty analysis and as an intermediate step in design optimization of engineering processes. We describe the sensitivity analysis problem for DAEs by both the forward and the backward mode. We introduce the software DASPK3.0 for sensitivity analysis via the forward mode, and outline a general adjoint method for DAEs.



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