New regularized algorithms based on the spectral method for solving deformable layer tomography

DOI10.1080/00036811.2014.901504zbMath1311.65099OpenAlexW1990335642WikidataQ60714701 ScholiaQ60714701MaRDI QIDQ4982028

Jin Cheng, Qi-Fu Chen, Xiang Xu, Wenbin Chen

Publication date: 23 March 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.901504

zbMATH Keywords

numerical exampleseismic tomographyspectral methodregularization methodsdeformable layer tomographyLegendre spectral expansion

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Seismology (including tsunami modeling), earthquakes (86A15) Inverse problems in geophysics (86A22) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Cites Work

• Numerical methods in seismology
• One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
• Adaptive Multiresolution Collocation Methods for Initial-Boundary Value Problems of Nonlinear PDE<scp>s</scp>
• Spectral Methods