Parameter range reduction for ODE models using cumulative backward differentiation formulas

DOI10.1016/j.cam.2006.03.018zbMath1112.65066OpenAlexW2103429022MaRDI QIDQ875157

Allan R. Willms

Publication date: 11 April 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.03.018

zbMATH Keywords

stabilityinverse problemconsistencynumerical examplestime seriesmodel fittingglobal nonlinear optimization algorithm

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items

Parameter Range Reduction in ODE Models in the Presence of Partial Data Sets, An algorithm for continuous piecewise linear bounding of discrete time series data, Rigorous parameter reconstruction for differential equations with noisy data, Parameter range reduction in ordinary differential equation models, Parameter range reduction from partial data in systems of differential algebraic equations

Uses Software

• MEBDF
• GALAHAD
• SNOPT
• A-EBDF
• PRRMD

Cites Work

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