Regularization Methods of the Continuation Problem for the Parabolic Equation

DOI10.1007/978-3-319-57099-0_22zbMath1368.65130OpenAlexW2605557626MaRDI QIDQ5274948

Andrey Belonosov, Maxim A. Shishlenin

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_22

zbMATH Keywords

Cauchy problemsingular value decompositionnumerical methodsfinite difference schemeparabolic equationgradient methodcontinuation problem

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for second-order parabolic equations (35K15)

Related Items (6)

Features of numerical reconstruction of a boundary condition in an inverse problem for a reaction-diffusion-advection equation with data on the position of a reaction front ⋮ On the features of numerical solution of coefficient inverse problems for nonlinear equations of the reaction-diffusion-advection type with data of various types ⋮ The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method ⋮ A comparative analysis of numerical methods of solving the continuation problem for 1D parabolic equation with the data given on the part of the boundary ⋮ Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front ⋮ Regularization Methods of the Continuation Problem for the Parabolic Equation

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