Numerical methods for computing sensitivities for ODEs and DDEs

DOI10.1007/s11075-016-0188-6zbMath1362.65070OpenAlexW2523344345MaRDI QIDQ521927

Jonathan Calver, W. H. Enright

Publication date: 12 April 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0188-6

zbMATH Keywords

ordinary differential equationsfittingdelay differential equationsleast squaresnumerical experimentvariational equationsadjoint methodsensitivities

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for functional-differential equations (65L03)

Related Items (4)

A modified multiple shooting algorithm for parameter estimation in ODEs using adjoint sensitivity analysis ⋮ Methods of continuation and their implementation in the COCO software platform with application to delay differential equations ⋮ Runge–Kutta Methods for Systems of Differential Equation with Piecewise Continuous Arguments: Convergence and Stability ⋮ Optimization along families of periodic and quasiperiodic orbits in dynamical systems with delay

Uses Software

• ADIC

Cites Work

• Delay differential equations: with applications in population dynamics
• Solution of delay differential equations via a homotopy perturbation method
• Forward and adjoint sensitivity analysis with continuous explicit Runge-Kutta schemes
• On the implementation of automatic differentiation tools
• Numerical computation of derivatives in systems of delay differential equations
• Pitfalls in Parameter Estimation for Delay Differential Equations
• A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations
• Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution
• Accurate First-Order Sensitivity Analysis for Delay Differential Equations

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