Fully discrete approximation methods for the estimation of parabolic systems and boundary parameters

DOI10.1007/BF00046975zbMath0611.65082OpenAlexW2074368798MaRDI QIDQ1087324

I. G. Rosen, Harvey Thomas Banks

Publication date: 1986

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046975

zbMATH Keywords

numerical exampleinverse problemscubic splinesGalerkin's methodabstract evolution equationleast squares fitsemilinear parabolic systemsboundary parameter identificationPadé approximation of exponentials

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05)

Related Items (2)

Galerkin approximation for inverse problems for nonautonomous nonlinear distributed systems ⋮ Modelling and identification of drug diffusion in brain

Cites Work

• Parameter estimation techniques for transport equations with application to population dispersal and tissue bulk flow models
• Cubic spline approximation techniques for parameter estimation in distributed systems
• Discrete Approximation Methods for Parameter Identification in Delay Systems
• Error Estimates for the Numerical Identification of a Variable Coefficient
• Identification of Parameters in Distributed Parameter Systems by Regularization
• Difference Equation State Approximations for Nonlinear Hereditary Control Problems
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• High-Accuracy Stable Difference Schemes for Well-Posed Initial-Value Problems
• Estimation of Coefficients and Boundary Parameters in Hyperbolic Systems
• An Approximation Theory for Nonlinear Partial Differential Equations with Applications to Identification and Control
• A method for the solution of certain non-linear problems in least squares
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