Identification of the initial function for nonlinear delay differential equations

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 20, Issue 1, 2005, Pages 45-66

  Baker, C T H ^a,b   Parmuzin, E I ^c  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b UNIVERSITY OF CHESTER   (United Kingdom)

^c INSTITUTE OF NUMERICAL MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DATA REDUCTION; FUNCTIONS; INFORMATION ANALYSIS; NONLINEAR EQUATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING;

DATA ASSIMILATION; MINIMIZATION PROBLEM; NUMERICAL EXPERIMENTS; REGULARIZATION;

DIFFERENTIAL EQUATIONS;

EID: 14844364306     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1163/1569398053270831     Document Type: Article

References (9)

1. C. T. H. Baker and E. I. Parmuzin, A guided tour of VPF for continuous and discretized DDEs. NA Report No. 430, MCCM, Manchester, England, 2004.
2. C. T. H. Baker and E. I. Parmuzin, Identification of the initial function for delay differential equation: Part I: The continuous problem & an integral equation analysis. NA Report No. 431, MCCM, Manchester, England, 2004.
3. C. T. H. Baker and E. I. Parmuzin, Identification of the initial function for delay differential equations: Part II: A discrete analogue of the data assimilation problem & computational results. NA Report No. 443, MCCM, Manchester, England, 2004.
4. C. T. H. Baker and E. I. Parmuzin, Identification of the initial function for delay differential equation: Part III: Nonlinear DDE & computational results. NA Report No. 444, MCCM, Manchester, England, 2004.
5. C. T. H. Baker and E. I. Parmuzin, Analysis via integral equations of an identification problem for delay differential equations. J. Int. Equations Appl. (2004) 16, 111-135.
6. F.-X. Le Dimet and V. P. Shutyaev, On Newton methods in data assimilation. Russ. J. Numer. Anal. Math. Modelling (2000) 15, No. 5, 419-434.
7. L. A. Liusternik and V. J. Sobolev, Elements of Functional Analysis. Frederick Ungar Publishing Company, New York, 1961.
8. G. I. Marchuk and V. I. Lebedev, Numerical Methods in the Theory of Neutron Transport. Harwood Academic Publishers, New York, 1986.
9. J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York, 1970.