A mollification regularization method for stable analytic continuation

DOI10.1016/j.matcom.2010.11.011zbMath1218.30004OpenAlexW2032544917MaRDI QIDQ543640

Yuan-Xiang Zhang, Zhi-Liang Deng, Chu-Li Fu, Xiao-Li Feng

Publication date: 17 June 2011

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.11.011

zbMATH Keywords

analytic continuationill-posed problemsmollification method

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Analytic continuation of functions of one complex variable (30B40)

Related Items (7)

A fractional Landweber iterative regularization method for stable analytic continuation ⋮ Two regularization methods for inverse source problem on the Poisson equation ⋮ A new generalized Tikhonov method based on filtering idea for stable analytic continuation ⋮ A modified Lavrentiev iterative regularization method for analytic continuation ⋮ A mollification regularization method for identifying the time-dependent heat source problem ⋮ On the ill-posed analytic continuation problem: an order optimal regularization scheme ⋮ Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The method of approximate inverse: Theory and applications
• A mollification method for ill-posed problems
• Application of basic hypergeometric series to stable analytic continuation
• Numerical inversion of the Laplace transform from the real axis
• 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 II: convergence and stability
• Approximate inverse for linear and some nonlinear problems
• Theory of ground-penetrating radars III
• Stable analytic continuation using hypergeometric summation
• Approximate inverse for a one-dimensional inverse heat conduction problem
• An introduction to the mathematical theory of inverse problems

This page was built for publication: A mollification regularization method for stable analytic continuation