On optimal recovery of solutions to difference equations from inaccurate data

DOI10.1007/s10958-013-1210-3zbMath1278.65146OpenAlexW2038140696MaRDI QIDQ377986

Gregorij G. Magaril-Il'yaev, Konstantin Yu. Osipenko

Publication date: 20 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1210-3

zbMATH Keywords

heat equationinverse problemsystem of ordinary differential equationsnormal operatoroptimal recoverydifference model

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Inverse problems involving ordinary differential equations (34A55) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical solution to inverse problems in abstract spaces (65J22) Numerical solution of inverse problems involving ordinary differential equations (65L09)

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