Application of Tikhonov regularization to reconstruct past climate record from borehole temperature

DOI10.1080/17415977.2021.1975700OpenAlexW3199527933MaRDI QIDQ5861334

Jia Liu, E. I. Jafarov, Gary D. Clow, Tingjun Zhang

Publication date: 4 March 2022

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

Full work available at URL: https://doi.org/10.1080/17415977.2021.1975700

zbMATH Keywords

Tikhonov regularizationmodel simulationborehole paleothermometryclimate change reconstructioninverse boundary value theory

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods for integral equations, integral transforms (65Rxx) Fredholm integral equations (45Bxx)

Uses Software

• Regularization tools

Cites Work

• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Numerical tools for analysis and solution of Fredholm integral equations of the first kind
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• A new class of accelerated regularization methods, with application to bioluminescence tomography
• On the second-order asymptotical regularization of linear ill-posed inverse problems
• Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions
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