A spectral regularization method for a Cauchy problem of the modified Helmholtz equation

DOI10.1155/2010/212056zbMath1198.65114OpenAlexW2016354911WikidataQ59253851 ScholiaQ59253851MaRDI QIDQ1957497

Ailin Qian, Lianghua Liu, Jian-feng Mao

Publication date: 27 September 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223300

zbMATH Keywords

stabilityconvergenceregularizationCauchy problemmethod of lineserror estimateHelmholtz equationspectral method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (5)

An a posteriori truncation method for some Cauchy problems associated with Helmholtz-type equations ⋮ Recovery the interior temperature of a nonhomogeneous elliptic equation from boundary data ⋮ A regularization method for the elliptic equation with inhomogeneous source ⋮ Adaptive finite element method for the sound wave problems in two kinds of media ⋮ Spectral regularization methods for an abstract ill-posed elliptic problem

Cites Work

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• Modified regularization method for the Cauchy problem of the Helmholtz equation
• Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory
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• The Fourier regularization for solving the Cauchy problem for the Helmholtz equation
• Two approximate methods of a Cauchy problem for the Helmholtz equation
• On a quasi-reversibility regularization method for a Cauchy problem of the Helmholtz equation
• Comparison of regularization methods for solving the Cauchy problem associated with the Helmholtz equation
• A spectral method for solving the sideways heat equation
• Approximate solution of a Cauchy problem for the Helmholtz equation
• An introduction to the mathematical theory of inverse problems

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