Parameter identification in nonlocal nonlinear evolution equations

DOI10.1080/01630560008816973zbMath0969.65050OpenAlexW2036587161MaRDI QIDQ4522530

Azmy S. Ackleh, Sergiu Aizicovici, Simeon Reich

Publication date: 25 September 2001

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560008816973

zbMATH Keywords

convergenceinverse problemsparameter identificationinitial value problemVolterra integral equationheat flow in materials with memorynonlinear evolution equations in abstract spaces

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15) Inverse problems involving ordinary differential equations (34A55) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical methods for inverse problems for integral equations (65R32) Inverse problems for integral equations (45Q05) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (2)

Convergence rates for nonlinear inverse problems of parameter identification using Bregman distances ⋮ Numerical scheme approximating solution and parameters in a beam equation.

Cites Work

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• Galerkin approximation for inverse problems for nonautonomous nonlinear distributed systems
• An abstract functional differential equation and a related nonlinear Volterra equation
• An introduction to partial differential equations
• An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems
• Parameter estimation in nonlinear evolution equations
• An approximation theory for the identification of nonlinear volterra equations
• Analysis and approximation for inverse problems in contaminant transport and biodegradation models

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