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The backus-gilbert method revisited: background, implementation and examples

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Publication:3756478
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DOI10.1080/01630568708816267zbMath0619.65134OpenAlexW2034884551MaRDI QIDQ3756478

Heikki Haario, Erkki Somersalo

Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816267

zbMATH Keywords

numerical differentiationill-posed problemsLaplace transform inversionelectromagnetic soundingBackus-Gilbert methodaveraging kernel inversionlinear pointwise estimates


Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical differentiation (65D25) Fredholm integral equations (45B05)


Related Items

Smoothed projection methods for the moment problem



Cites Work

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  • Numerical inversion of the Laplace transform by the use of Pollaczek polynomials
  • Least squares with a quadratic constraint
  • Pitfalls in the Numerical Solution of Linear Ill-Posed Problems
  • Algorithms for the regularization of ill-conditioned least squares problems
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