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Article Dans Une Revue Mathematics and Computers in Simulation Année : 2024

Influence of the order between discretization and regularization in solving ill-posed problems

Résumé

Discretization and regularization are required steps to provide a stable approximation when solving integral equations of the first kind. The integral operator involved may be approximated by a sequence of finite rank operators and then the regularization procedure is applied. On the other hand, a regularization procedure can be conceived prior to the discretization. Both approaches are developed, implemented and compared for certain projection based methods.
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Dates et versions

hal-04473203 , version 1 (22-02-2024)

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Laurence Grammont, Paulo Vasconcelos. Influence of the order between discretization and regularization in solving ill-posed problems. Mathematics and Computers in Simulation, 2024, ⟨10.1016/j.matcom.2024.02.010⟩. ⟨hal-04473203⟩
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