A modified kernel method for numerical analytic continuation

DOI10.1080/17415977.2013.780167zbMath1308.30003OpenAlexW1997893194MaRDI QIDQ5244934

Yun-Jie Ma, Zheng Qiang Zhang

Publication date: 1 April 2015

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2013.780167

zbMATH Keywords

error estimateill-posed problemnumerical analytic continuationmodified kernel regularization

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22) Analytic continuation of functions of one complex variable (30B40)

Related Items (5)

Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method ⋮ A fractional Landweber iterative regularization method for stable analytic continuation ⋮ A new generalized Tikhonov method based on filtering idea for stable analytic continuation ⋮ Filter regularization method for a time-fractional inverse advection-dispersion problem ⋮ A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method

Cites Work

• A modified method for high order numerical derivatives
• Numerical analytic continuation on bounded domains
• 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
• Numerical solution of the sideways heat equation by difference approximation in time
• Regularization strategies for a two-dimensional inverse heat conduction problem

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