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Open AccessJournal ArticleDOI

Inversion of airborne tensor VLF data using integral equations

TLDR
The Geological Survey of Sweden has been collecting airborne tensor very low frequency data (VLF) over several decades, covering large parts of the country as mentioned in this paper, and the data has been an invaluable source o...
Abstract
The Geological Survey of Sweden has been collecting airborne tensor very low frequency data (VLF) over several decades, covering large parts of the country. The data has been an invaluable source o ...

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Citations
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Journal ArticleDOI

Review on airborne electromagnetic inverse theory and applications

TL;DR: In this article, two approaches are proposed to speed up the airborne electromagnetic inversion process, moving footprint and direct solver methods, which can be used to speedup the process.
Journal ArticleDOI

Novel accurate and scalable 3-D MT forward solver based on a contracting integral equation method

TL;DR: A novel, open source 3-D MT forward solver based on a method of integral equations (IE) with contracting kernel that supports massive parallelization and is able to deal with highly detailed and contrasting models.
Journal ArticleDOI

Applied Mathematics in EM Studies with Special Emphasis on an Uncertainty Quantification and 3-D Integral Equation Modelling

TL;DR: A variant of the M–H method is introduced which uses information about the local gradient and Hessian of the penalty function to exploit adjoint-based machinery that has been instrumental for the fast solution of deterministic inverse problems and why this modification of M-H significantly accelerates sampling of the posterior probability distribution.
References
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Book

Table of Integrals, Series, and Products

TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book

Numerical Optimization

TL;DR: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization, responding to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems.
Journal ArticleDOI

An algorithm for the machine calculation of complex Fourier series

TL;DR: Good generalized these methods and gave elegant algorithms for which one class of applications is the calculation of Fourier series, applicable to certain problems in which one must multiply an N-vector by an N X N matrix which can be factored into m sparse matrices.
Journal ArticleDOI

Occam's inversion; a practical algorithm for generating smooth models from electromagnetic sounding data

TL;DR: In this article, the authors proposed a smoothest model which fits the data to within an expected tolerance for the inversion of both magnetotelluric and Schlumberger sounding field data.
Book

Parameter estimation and inverse problems

TL;DR: "Parameter Estimation and Inverse Problems, 2/e" introduces readers to both Classical and Bayesian approaches to linear and nonlinear problems with particular attention paid to computational, mathematical, and statistical issues related to their application to geophysical problems.
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