Recovering the electrical conductivity of the soil via a linear integral model

[1]  Lothar Reichel,et al.  Parameter determination for Tikhonov regularization problems in general form , 2018, J. Comput. Appl. Math..

[2]  G. Deidda,et al.  Geophysical investigations unravel the vestiges of ancient meandering channels and their dynamics in tidal landscapes , 2018, Scientific Reports.

[3]  Nicola Lamaddalena,et al.  Calibrating electromagnetic induction conductivities with time-domain reflectometry measurements , 2017 .

[4]  Giuseppe Rodriguez,et al.  Identifying the magnetic permeability in multi-frequency EM data inversion , 2017 .

[5]  Giuseppe Rodriguez,et al.  Regularized Inversion of Multi-Frequency EM Data in Geophysical Applications , 2016 .

[6]  Charles A. Micchelli,et al.  Multiscale Methods for Fredholm Integral Equations , 2015 .

[7]  Lothar Reichel,et al.  Regularization parameter determination for discrete ill-posed problems , 2015, J. Comput. Appl. Math..

[8]  Giuseppe Rodriguez,et al.  Regularized solution of a nonlinear problem in electromagnetic sounding , 2014, 1403.3863.

[9]  Mark Dyer,et al.  Geometric and frequency EMI sounding of estuarine earthen flood defence embankments in Ireland using 1D inversion models , 2013 .

[10]  Guangqing Long,et al.  Legendre multi-projection methods for solving eigenvalue problems for a compact integral operator , 2013, J. Comput. Appl. Math..

[11]  Lothar Reichel,et al.  Old and new parameter choice rules for discrete ill-posed problems , 2013, Numerical Algorithms.

[12]  P. Dietrich,et al.  Noninvasive Monitoring of Soil Static Characteristics and Dynamic States: A Case Study Highlighting Vegetation Effects on Agricultural Land , 2012 .

[13]  M. T. Nair,et al.  Quadrature based collocation methods for integral equations of the first kind , 2012, Adv. Comput. Math..

[14]  Fanchun Li,et al.  A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations , 2012, Adv. Comput. Math..

[15]  Khosrow Maleknejad,et al.  Convergence analysis for numerical solution of Fredholm integral equation by Sinc approximation , 2011 .

[16]  R. Yao,et al.  Quantitative evaluation of soil salinity and its spatial distribution using electromagnetic induction method. , 2010 .

[17]  M. Dabas,et al.  Detection of resistive features using towed slingram electromagnetic induction instruments , 2009 .

[18]  Hong Du,et al.  Approximate solution of the Fredholm integral equation of the first kind in a reproducing kernel Hilbert space , 2008, Appl. Math. Lett..

[19]  Patricia Martinelli,et al.  Laterally filtered 1D inversions of small-loop, frequency-domain EMI data from a chemical waste site , 2008 .

[20]  L. Sambuelli,et al.  Study of riverine deposits using electromagnetic methods at a low induction number , 2007 .

[21]  A. Osella,et al.  EMI data from an archaeological resistive target revisited , 2006 .

[22]  Ana Osella,et al.  3D electrical imaging of an archaeological site using electrical and electromagnetic methods , 2005 .

[23]  Jan M. H. Hendrickx,et al.  Inversion of Soil Conductivity Profiles from Electromagnetic Induction Measurements , 2002 .

[24]  L. Pellerin.  Applications Of Electrical And Electromagnetic Methods For Environmental And Geotechnical Investigations , 2002 .

[25]  R. Kress.  Numerical Analysis , 1998 .

[26]  T. Uram,et al.  Tikhonov regularization of electrical conductivity depth profiles in field soils , 1997 .

[27]  H. Engl,et al.  Regularization of Inverse Problems , 1996 .

[28]  Åke Björck,et al.  Numerical methods for least square problems , 1996 .

[29]  Per Christian Hansen,et al.  Rank-Deficient and Discrete Ill-Posed Problems , 1996 .

[30]  Scott M. Lesch,et al.  Spatial Prediction of Soil Salinity Using Electromagnetic Induction Techniques: 1. Statistical Prediction Models: A Comparison of Multiple Linear Regression and Cokriging , 1995 .

[31]  R. Kress.  Linear Integral Equations , 1989 .

[32]  G. W. Hohmann,et al.  4. Electromagnetic Theory for Geophysical Applications , 1987 .

[33]  G. Wing,et al.  A Primer on Integral Equations of the First Kind: The Problem of Deconvolution and Unfolding , 1987 .

[34]  Peter Craven,et al.  Smoothing noisy data with spline functions , 1978 .

[35]  P. M. Prenter,et al.  An analysis of the numerical solution of Fredholm integral equations of the first kind , 1978 .

[36]  W. Rudin.  Real and complex analysis , 1968 .

[37]  A Tikhonov,et al.  Solution of Incorrectly Formulated Problems and the Regularization Method , 1963 .

[38]  A. N. Tikhonov,et al.  REGULARIZATION OF INCORRECTLY POSED PROBLEMS , 1963 .

[39]  David L. Phillips,et al.  A Technique for the Numerical Solution of Certain Integral Equations of the First Kind , 1962, JACM.

[40]  I. N. Sneddon,et al.  Special Functions of Mathematical Physics and Chemistry , 1957 .

[41]  M. Crum,et al.  On the Theorems of Müntz and Szász , 1956 .

[42]  J. Hadamard,et al.  Lectures on Cauchy's Problem in Linear Partial Differential Equations , 1924 .

[43]  É. Picard.  Sur un thÉorÈme gÉnÉral relatif aux Équations intÉgrales de premiÈre espÈce et sur quelques problÈmes de physique mathÉmatique , 1910 .