Analytic Continuation by the Fast Fourier Transform

DOI10.1137/0911007zbMath0687.65017OpenAlexW2029304625MaRDI QIDQ4206280

J. N. Franklin

Publication date: 1990

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:FRAsiamjssc90

zbMATH Keywords

algorithmregularizationfast Fourier transformsanalytic continuationill-posed problemtruncation error

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 (14)

A fractional Landweber iterative regularization method for stable analytic continuation ⋮ A new generalized Tikhonov method based on filtering idea for stable analytic continuation ⋮ A modified Lavrentiev iterative regularization method for analytic continuation ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic ⋮ Approximate inverse method for stable analytic continuation in a strip domain ⋮ Unnamed Item ⋮ A computational method for stable analytic continuation ⋮ Quantifying the ill-conditioning of analytic continuation ⋮ A mollification regularization method for stable analytic continuation ⋮ Numerical analytic continuation on bounded domains ⋮ Explicit power laws in analytic continuation problems via reproducing kernel Hilbert spaces ⋮ An optimal filtering method for stable analytic continuation ⋮ A modified kernel method for numerical analytic continuation ⋮ A wavelet regularization method for solving numerical analytic continuation

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