A wavelet regularization method for solving numerical analytic continuation

DOI10.1080/00207160.2014.920500zbMath1314.30003OpenAlexW1979332586MaRDI QIDQ5248082

Xiao-Li Feng, Wantao Ning

Publication date: 27 April 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.920500

zbMATH Keywords

regularizationerror estimateanalytic continuationill-posed problemMeyer wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Linear operators and ill-posed problems, regularization (47A52) Analytic continuation of functions of one complex variable (30B40)

Related Items (9)

A fractional Landweber iterative regularization method for stable analytic continuation ⋮ Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators ⋮ A modified Lavrentiev iterative regularization method for analytic continuation ⋮ Regularization technique for an inverse space-fractional backward heat conduction problem ⋮ On regularization and error estimates for the backward heat conduction problem with time-dependent thermal diffusivity factor ⋮ On the ill-posed analytic continuation problem: an order optimal regularization scheme ⋮ Stability estimate and regularization for a radially symmetric inverse heat conduction problem ⋮ Wavelet regularization strategy for the fractional inverse diffusion problem ⋮ An a posteriori wavelet method for solving two kinds of ill-posed problems

Cites Work

• Numerical inversion of the Laplace transform from the real axis
• Sideways heat equation and wavelets
• A simple regularization method for stable analytic continuation
• A Modified Tikhonov Regularization for Stable Analytic Continuation
• On the stable analytic continuation with a condition of uniform boundedness
• Ten Lectures on Wavelets
• Analytic Continuation by the Fast Fourier Transform
• Regularization of a non-characteristic Cauchy problem for a parabolic equation in multiple dimensions
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Regularization of a non-characteristic Cauchy problem for a parabolic equation

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