scholarly journals Simplifying Multivariate Second-Order Response Surfaces by Fitting Constrained Models Using Automatic Differentiation

Technometrics ◽  
2005 ◽  
Vol 47 (3) ◽  
pp. 249-259 ◽  
Author(s):  
Trevor J Ringrose ◽  
Shaun A Forth
Keyword(s):  
Automatic Differentiation ◽  
Response Surfaces ◽  
Second Order ◽  
Constrained Models

Extraction of Flavonoids from Clovers

2012 ◽  
Vol 195-196 ◽  
pp. 360-363
Author(s):  
Chun Gang Chen ◽  
Fen Xia Han ◽  
Yuan Zhang ◽  
Yu Zhong Shi
Keyword(s):  
Response Surface Methodology ◽  
Optimum Condition ◽  
Central Composite Design ◽  
Response Surface ◽  
Ethanol Concentration ◽  
Response Surfaces ◽  
Second Order ◽  
Order Model ◽  
Solid Ratio ◽  
Central Composite

The extraction of flavonoids from clovers was optimized to maximize flavonoid yield Y in this study. A central composite design of response surface methodology involving extracting time, liquid-solid ratio, extracting temperature and ethanol concentration was used, and second-order model for Y was employed to generate the response surfaces. The optimum condition for Y was determined as follows: extracting time 24min, liquid-solid ratio 20, extracting temperature 80°C, and ethanol concentration 72%. Under the optimum condition, the flavonoid yield was 2.49%.

First- and Second-Order Aerodynamic Sensitivity Derivatives via Automatic Differentiation with Incremental Iterative Methods

1996 ◽  
Vol 129 (2) ◽  
pp. 307-331 ◽  
Author(s):  
Laura L. Sherman ◽  
Arthur C. Taylor III ◽  
Larry L. Green ◽  
Perry A. Newman ◽  
Gene W. Hou ◽  
...  
Keyword(s):  
Iterative Methods ◽  
Automatic Differentiation ◽  
Second Order ◽  
Sensitivity Derivatives
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