On error analysis in data assimilation problems

DOI10.1515/RNAM-2002-0105zbMath1006.65104OpenAlexW2317957800MaRDI QIDQ4545010

Pierre Ngnepieba, Victor P. Shutyaev, François-Xavier Le Dimet

Publication date: 8 August 2002

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2002-0105

zbMATH Keywords

numerical resultsinverse problemdata assimilation problemhydrologyFourier methodnonlinear evolution problemerror sensitivityerrors of the input data

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Hydrology, hydrography, oceanography (86A05) Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Parabolic equations and parabolic systems (35K99)

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