Approximate inverse method for stable analytic continuation in a strip domain

DOI10.1016/j.cam.2010.12.017zbMath1210.65070OpenAlexW2112387579MaRDI QIDQ631900

Liang Yan, Yuan-Xiang Zhang, Chu-Li Fu

Publication date: 14 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.12.017

zbMATH Keywords

regularizationerror estimateanalytic continuationill-posed problemsapproximate inversenumerical resultreconstruction kernel

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Analytic continuation of functions of one complex variable (30B40)

Related Items (5)

A fractional Landweber iterative regularization method for stable analytic continuation ⋮ A new generalized Tikhonov method based on filtering idea for stable analytic continuation ⋮ Multi-coil MRI by analytic continuation ⋮ Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation ⋮ Estimates for the SVD of the truncated Fourier transform on \(L^2(\cosh (B|\cdot |))\) and stable analytic continuation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
• The method of approximate inverse: Theory and applications
• On the optimality of methods for ill-posed problems
• Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem
• Sideways heat equation and wavelets
• A mollifier method for linear operator equations of the first kind
• 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
• Analytic Continuation by the Fast Fourier Transform
• A unified approach to regularization methods for linear ill-posed problems
• Optimality for ill-posed problems under general source conditions
• The Approximate Inverse in Action with an Application to Computerized Tomography
• The approximate inverse for solving an inverse scattering problem for acoustic waves in an inhomogeneous medium
• Approximate inverse for linear and some nonlinear problems
• Theory of ground-penetrating radars III
• Approximate inverse for a one-dimensional inverse heat conduction problem
• On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
• Identification of some source densities of the distribution type

This page was built for publication: Approximate inverse method for stable analytic continuation in a strip domain