Direct Multiple Shooting and Generalized Gauss-Newton Method for Parameter Estimation Problems in ODE Models

DOI10.1007/978-3-319-23321-5_1zbMath1337.65081OpenAlexW2487056803MaRDI QIDQ2801803

Hans Georg Bock, Johannes P. Schlöder, Ekaterina Kostina

Publication date: 22 April 2016

Published in: Contributions in Mathematical and Computational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-23321-5_1

zbMATH Keywords

parameter estimationnumerical examplesboundary value problemnumerical stabilitya posteriori error analysismultiple shooting

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for numerical methods for ordinary differential equations (65L70) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items

A modified multiple shooting algorithm for parameter estimation in ODEs using adjoint sensitivity analysis ⋮ An SQP-based multiple shooting algorithm for large-scale PDE-constrained optimal control problems

Cites Work

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• Numerical Methods for Parameter Estimation in Nonlinear Differential Algebraic Equations
• Gauss–Newton Methods for Robust Parameter Estimation
• On the Numerical Solution of Constrained Least-Squares Problems

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