The collage coding method and its application to an inverse problem for the Lorenz system

DOI10.1016/j.amc.2006.07.093zbMath1114.65086OpenAlexW2057768523MaRDI QIDQ878922

K. Heidler, H. Kunze

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.093

zbMATH Keywords

inverse problemnumerical examplesLorenz systemcontraction mapcollage theoremcollage codingpartial data sets

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)

Related Items (4)

The Picard contraction mapping method for the parameter inversion of reaction-diffusion systems ⋮ Using the generalized collage theorem for estimating unknown parameters in perturbed mixed variational equations ⋮ Novel techniques in parameter estimation for fractional dynamical models arising from biological systems ⋮ Parameter estimation for partial differential equations by collage-based numerical approximation

Cites Work

• Inverse problems for ODEs using contraction maps and suboptimality of the  collage method
• Solution of an inverse problem for fractals and other sets
• Solving inverse problems for ordinary differential equations using the Picard contraction mapping
• Deterministic Nonperiodic Flow
• Identifying parameter by identical synchronization between different systems
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