Experimental design for distributed parameter vector systems

被引：6

作者：

Banks, H. T. ^{[1
]}

Rehm, K. L. ^{[1
]}

机构：

[1] NC State Univ, Ctr Res Sci Computat, Ctr Quantitat Sci Biomed, Raleigh, NC 27695 USA

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 01期

关键词：

Optimal design; Inverse problems; Optimal selection of observables; Sampling points;

D O I：

10.1016/j.aml.2012.08.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We formulate formulate an optimal design problem for the selection of best states to observe and optimal sampling times and locations for parameter estimation or inverse problems involving complex nonlinear partial differential systems. An iterative algorithm for implementation of the resulting methodology is proposed. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：10 / 14

页数：5

共 5 条

[1] Comparison of optimal design methods in inverse problems [J].

Banks, H. T. ;

Holm, K. ;

Kappel, F. .

INVERSE PROBLEMS, 2011, 27 (07)

[2] Generalized sensitivities and optimal experimental design [J].

Banks, H. T. ;

Dediu, Sava ;

Ernstberger, Stacey L. ;

Kappel, Franz .

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2010, 18 (01) :25-83

[3]

Banks H.T., 2012, CRSCTR1211 N C STATE

[4] Modelling and estimating uncertainty in parameter estimation [J].

Banks, HT ;

Bihari, KL .

INVERSE PROBLEMS, 2001, 17 (01) :95-111

[5]

Seber G.A.F., 1989, Nonlinear Regression

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