A posteriori choice of time-discretization step in finite difference methods for solving ill-posed Cauchy problems in Hilbert space

DOI10.1515/JIIP-2020-0088zbMath1480.65136OpenAlexW3122761408MaRDI QIDQ2066946

Mikhail M. Kokurin

Publication date: 17 January 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2020-0088

zbMATH Keywords

finite difference methodsselfadjoint operatora posteriori parameter choiceill-posed Cauchy problemaccuracy estimatesoperator differential equation

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Cites Work

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• Necessary and sufficient conditions for the polynomial convergence of the quasi-reversibility and finite-difference methods for an ill-posed Cauchy problem with exact data
• Numerical methods for solving inverse problems of mathematical physics.
• On a class of finite difference methods for ill-posed Cauchy problems with noisy data
• On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces
• On error estimates of difference solution methods for ill-posed Cauchy problems in a Hilbert space

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