This peer-reviewed paper is about error propagation through design models. The formula typically used to analytically propagate error is based on a first-order Taylor series expansion, and consequently, it can be wrong by one or more orders of magnitude for nonlinear systems. Using a higher-order Taylor series does improve the accuracy of the approximation, but this comes at higher and higher computational cost. This paper presents a technique for error propagation that achieves higher-order accuracy but without the additional higher-order cost. This is accomplished by predicting the Taylor series truncation error and applying a “correction factor” to the lower-order model.
|Title||Efficient Propagation of Error Through System Models for Functions Common in Engineering|
|Abstract||System modeling can help designers make and verify design decisions early in the design process if the model’s accuracy can be determined. The formula typically… more|
|Journal||Journal of Mechanical Design|
|Publication Date||January 4, 2012|