Iterative Solution of the Retrospective Inverse Problem for a Parabolic Equation Using the Conjugate Gradient Method

DOI10.1007/978-3-319-57099-0_80zbMath1368.65177OpenAlexW2607306981MaRDI QIDQ5275024

A. M. Kardashevsky, Vasiliy I. Vasil'ev

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_80

zbMATH Keywords

convergenceinverse problemfinite difference methodnumerical examplesiterative methodconjugate gradient methodparabolic equationsretrospective problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

Numerical Solution of the Retrospective Inverse Problem of Heat Conduction with the Help of the Poisson Integral ⋮ Conjugate Gradient Method for Identification of a Spacewise Heat Source

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse and ill-posed problems. Theory and applications.
• Numerical methods for solving inverse problems of mathematical physics.
• A modified Tikhonov regularization method for a backward heat equation
• Inverse problems for partial differential equations

This page was built for publication: Iterative Solution of the Retrospective Inverse Problem for a Parabolic Equation Using the Conjugate Gradient Method