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Numerical comparison of iterative regularization methods for a parameter estimation problem in a hyperbolic PDE - MaRDI portal

Numerical comparison of iterative regularization methods for a parameter estimation problem in a hyperbolic PDE (Q2784194)

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scientific article; zbMATH DE number 1731193
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English
Numerical comparison of iterative regularization methods for a parameter estimation problem in a hyperbolic PDE
scientific article; zbMATH DE number 1731193

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    Numerical comparison of iterative regularization methods for a parameter estimation problem in a hyperbolic PDE (English)
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    8 September 2002
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    finite difference method
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    second order hyperbolic equation
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    initial-boundary value problem
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    iterative regularization
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    parameter estimation
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    ill-posed problems
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    monotone fixed point iteration
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    We compare numerically several recently investigated iterative regularization schemes for the solution of a parameter estimation problem in a hyperbolic partial differential equation. Moreover, we introduce a framework of monotone iterative regularization techniques for general ill-posed problems. This concept relies on monotone fixed point iteration schemes.
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