Least squares and Chebyshev fitting for parameter estimation in ODEs

DOI10.1007/BF02072016zbMath0826.65064OpenAlexW1974942793MaRDI QIDQ1895896

Jack Williams, Zacharoula Kalogiratou

Publication date: 26 November 1995

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02072016

zbMATH Keywords

parameter estimationinverse problemnumerical examplesleast squares fittingglobal best approximationChebyshev fittingnonlinear mean square approximation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Inverse problems involving ordinary differential equations (34A55)

Related Items (5)

Numerical treatment of the parameter identification problem for delay- differential systems arising in immune response modelling ⋮ A semi-smooth Newton method for inverse problem with uniform noise ⋮ On the selection of ordinary differential equation models with application to predator‐prey dynamical models ⋮ Bayesian penalized B-spline estimation approach for epidemic models ⋮ Discrete total \({\l}_p\)-norm approximation problem for the exponential function

Uses Software

• HSL
• VG02A

Cites Work

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• On nonuniqueness in nonlinear \(L_ 2\)-approximation
• On nonuniqueness in rational \(L_ p\)-approximation
• On the unicity of nonlinear approximation in smooth spaces
• Nonlinear Chebyshev fitting from the solution of ordinary differential equations
• Uniqueness theorems for nonlinear \(L_2\)-approximation problems
• Mean-square approximation by generalized rational functions
• On the Remez algorithm for non-linear families
• Best mean rational approximation
• An Algorithm for Minimax Solution of Overdetermined Systems of Non-linear Equations
• Best Chebyshev approximation from families of ordinary differential equations

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