Parameter estimation in the 1-D transport equation with advection.

DOI10.1016/S0898-1221(02)00273-0zbMath1035.65104MaRDI QIDQ1416358

C. W. Coles

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

algorithminverse problemconsistencydiffusion coefficientFinite differencesnumerical exampelsAutomatic filteringIdentification of parametersMollificationtransport equation with advection

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

Parameter identification using mollification for predator-prey models in spatially heterogeneous environments ⋮ An efficient numerical parameter estimation scheme for the space-dependent dispersion coefficient of a solute transport equation in porous media

Cites Work

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• Discrete mollification and automatic numerical differentiation
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Identification of parameters in the 2-D IHCP
• Simultaneous space diffusivity and source term reconstruction in 2D IHCP

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