Solving inverse problems for DEs using the collage theorem and entropy maximization

DOI10.1016/J.AML.2012.06.021zbMath1252.65125OpenAlexW2084756055MaRDI QIDQ714583

Edward R. Vrscay, Herb E. Kunze, Davide La Torre

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.06.021

zbMATH Keywords

entropynumerical examplesinverse problemscollage theorem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving ordinary differential equations (49J15) 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 (8)

Inverse problems for delay differential equations using the collage theorem ⋮ Solving inverse problems for steady-state equations using a multiple criteria model with collage distance, entropy, and sparsity ⋮ Inverse problems via the ``generalized collage theorem for vector-valued Lax-Milgram-based variational problems ⋮ Solving the inverse problem for an ordinary differential equation using conjugation ⋮ Fractal-based methods and inverse problems for differential equations: current state of the art ⋮ Galerkin method for constrained variational equations and a collage-based approach to related inverse problems ⋮ Error Estimate of Data Dependence for Discontinuous Operators by New Iteration Process with Convergence Analysis ⋮ Optimization methods in inverse problems and applications to science and engineering

Cites Work

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• Random fixed point equations and inverse problems using ``collage method for contraction mappings
• Inverse problems for random differential equations using the collage method for random contraction mappings
• Fractal-Based Methods in Analysis
• Inverse problems for ODEs using contraction maps and suboptimality of the  collage method
• Solving inverse problems for ordinary differential equations using the Picard contraction mapping
• Probability Theory
• Solving the inverse problem for measures using iterated function systems: a new approach

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