A discrete sampling inversion scheme for the heat equation

DOI10.1007/BF01396358zbMath0646.65085OpenAlexW1976657901MaRDI QIDQ1104062

John R. Lund, Clyde F. Martin, David S. Gilliam

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133329

zbMATH Keywords

heat equationsinc expansioncentrosymmetric Toeplitz matrixdiscrete sampling inversion schemediscrete time and spatial samplinguniform exponential error bound

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Heat equation (35K05) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05)

Related Items (6)

An approach for recovering initial temperature via a bounded linear time sampling ⋮ Recovery of an initial temperature from discrete sampling ⋮ Shannon-Taylor technique for solving one-dimensional inverse heat conduction problem ⋮ Inverse parabolic problems and discrete orthogonality ⋮ The Sinc‐Galerkin method for solving an inverse parabolic problem with unknown source term ⋮ Sinc-Gaussian Approach for Solving the Inverse Heat Conduction Problem

Cites Work

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• Discrete observability and Dirichlet series
• Discrete observability of the heat equation on bounded domains
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• Observability and Related Problems for Partial Differential Equations of Parabolic Type

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