On a class of finite difference methods for ill-posed Cauchy problems with noisy data

DOI10.1515/JIIP.2011.015zbMath1279.65067OpenAlexW2066842622MaRDI QIDQ2874487

Mikhail M. Kokurin, Anatoly B. Bakushinsky, Mikhail Yu. Kokurin

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2011.015

zbMATH Keywords

error estimatesfinite difference methodCauchy problemill-posed problemoperator differential equation

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (5)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Direct and converse theorems for iterative methods of solving irregular operator equations and finite difference methods for solving ill-posed Cauchy problems ⋮ On a complete discretization scheme for an ill-posed Cauchy problem in a Banach space ⋮ A posteriori choice of time-discretization step in finite difference methods for solving ill-posed Cauchy problems in Hilbert space ⋮ Carleman estimates for the regularization of ill-posed Cauchy problems

Cites Work

• On error estimates of difference solution methods for ill-posed Cauchy problems in a Hilbert space

This page was built for publication: On a class of finite difference methods for ill-posed Cauchy problems with noisy data