An a posteriori wavelet method for solving two kinds of ill-posed problems

DOI10.1080/00207160.2017.1343944zbMath1499.42156OpenAlexW2636545917MaRDI QIDQ5028569

Zhi Qian, Xiao-Li Feng

Publication date: 10 February 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2017.1343944

zbMATH Keywords

regularizationerror estimateill-posed problempseudodifferential operatorMeyer waveleta posteriori choice rule

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (3)

Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators ⋮ On the ill-posed analytic continuation problem: an order optimal regularization scheme ⋮ Wavelet regularization strategy for the fractional inverse diffusion problem

Cites Work

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• Wavelets and regularization of the sideways heat equation
• Numerical pseudodifferential operator and Fourier regularization
• Wavelets and high order numerical differentiation
• On a class of severely ill-posed problems
• Regularization methods for large-scale problems
• Regularized solution of the Cauchy problem for the Laplace equation using Meyer wavelets.
• Computation of fractional derivatives using Fourier transform and digital FIR differentiator.
• Stable approximation of fractional derivatives of rough functions
• Sideways heat equation and wavelets
• Wavelets and numerical pseudodifferential operator
• Wavelets and regularization of the Cauchy problem for the Laplace equation
• On the stable numerical evaluation of Caputo fractional derivatives
• A wavelet method for numerical fractional derivative with noisy data
• The a posteriori Fourier method for solving ill-posed problems
• Determining Surface Temperatures from Interior Observations
• Ten Lectures on Wavelets
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Regularization of a non-characteristic Cauchy problem for a parabolic equation
• A wavelet regularization method for solving numerical analytic continuation

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