Maximum likelihood and the maximum product of spacings from the viewpoint of the method of weighted residuals

2020 ◽  
Vol 39 (3) ◽  
Author(s):  
Takuya Kawanishi
Keyword(s):  
Maximum Likelihood ◽  
Weighted Residuals ◽  
Method Of Weighted Residuals

Modeling of a Urea SCR Catalyst With Automotive Applications

2002 ◽  
Author(s):  
Devesh Upadhyay ◽  
Michiel Van Nieuwstadt
Keyword(s):  
Catalytic Reduction ◽  
Chemical Properties ◽  
Lumped Parameter Model ◽  
Scr Catalyst ◽  
Weighted Residuals ◽  
Method Of Weighted Residuals ◽  
Lumped Parameter ◽  
1D Model ◽  
Continuously Stirred Tank Reactor ◽  
Three State Model

A zero order lumped parameter control oriented model of a Selective Catalytic Reduction (SCR) catalyst is presented. The lumped parameter model is developed using two approaches. in the first approach it was assumed that the catalyst behaves as an Isothermal Continuously Stirred Tank Reactor (ICSTR). The second approach involved deriving the lumped parameter model from a 1D model using the method of weighted residuals. Both approaches led to a three state model, with the gas phase concentrations of NOx and NH3 and the surface coverage fraction as the states. The model depends on chemical properties specific to the SCR catalyst; consequently model validation requires knowledge of these parameters, either via laboratory-based experiments or as supplied by the catalyst supplier. We present an alternate approach that allows estimation of the essential parameters through a minimization of the l2 errors between measured and simulated results.

Application of the method of weighted residuals to the Glauert-jet problem

2007 ◽  
Vol 369 (5-6) ◽  
pp. 476-478 ◽  
Author(s):  
Lu-Feng Mo ◽  
Rong-Xu Chen ◽  
Yue-Yun Shen
Keyword(s):  
Weighted Residuals ◽  
Method Of Weighted Residuals

Reply by authors to Discussion by P. A. A. Laura

Geophysics ◽  
1980 ◽  
Vol 45 (6) ◽  
pp. 1096-1096
Author(s):  
K. Pann ◽  
E. Eisner ◽  
Y. Shin
Keyword(s):  
Galerkin’S Method ◽  
Weighted Residuals ◽  
Galerkin's Method ◽  
Method Of Weighted Residuals ◽  
Standard Terminology

In writing this paper, we did not find it easy to locate standard terminology which is agreed upon. We adopted the term “generalized Galerkin’s method” from page 335 of Pearson (1974), but it seems to be completely equivalent to the “method of weighted residuals” of Ames (1967), or the “orthogonality method” of Collatz (1960, p. 30).

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