A Unified Approach to Integration and Optimization of Parametric Ordinary Differential Equations

DOI10.1007/978-3-319-23321-5_12zbMath1337.65082arXiv1302.1904OpenAlexW1502713142MaRDI QIDQ2801816

Daniel Kaschek, Jens Timmer

Publication date: 22 April 2016

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

Full work available at URL: https://arxiv.org/abs/1302.1904

zbMATH Keywords

convergencenumerical exampleparameter estimationinverse problemLotka-Volterra systemoscillatory systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Cites Work

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• A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems
• A new mesh selection algorithm, based on conditioning, for two-point boundary value codes
• A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation
• Numerical Methods for Parameter Estimation in Nonlinear Differential Algebraic Equations

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