Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory

Xiang-Tuan Xiong; Chu-Li Fu; Jin Cheng

doi:10.1016/j.matcom.2008.08.009

Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2008.08.009 ◽

2009 ◽

Vol 79 (5) ◽

pp. 1668-1678 ◽

Cited By ~ 4

Author(s):

Xiang-Tuan Xiong ◽

Chu-Li Fu ◽

Jin Cheng

Keyword(s):

Parabolic Equation ◽

Regularization Methods ◽

Regularization Theory ◽

Spectral Regularization

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Wavelet and spectral regularization methods for a sideways parabolic equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.12.007 ◽

2005 ◽

Vol 160 (3) ◽

pp. 881-908 ◽

Cited By ~ 7

Author(s):

Chu-Li Fu ◽

Xiang-Tuan Xiong ◽

Hong-Fang Li ◽

You-Bin Zhu

Keyword(s):

Parabolic Equation ◽

Regularization Methods ◽

Spectral Regularization

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Convergence Rates of Spectral Regularization Methods: A Comparison between Ill-Posed Inverse Problems and Statistical Kernel Learning

SIAM Journal on Numerical Analysis ◽

10.1137/19m1256038 ◽

2020 ◽

Vol 58 (6) ◽

pp. 3504-3529

Author(s):

Sabrina Guastavino ◽

Federico Benvenuto

Keyword(s):

Inverse Problems ◽

Convergence Rates ◽

Kernel Learning ◽

Regularization Methods ◽

Spectral Regularization ◽

Ill Posed

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Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods

SIAM Journal on Numerical Analysis ◽

10.1137/16m1067445 ◽

2017 ◽

Vol 55 (2) ◽

pp. 598-620 ◽

Cited By ~ 19

Author(s):

Thorsten Hohage ◽

Frederic Weidling

Keyword(s):

Regularization Methods ◽

Spectral Regularization ◽

Converse Results

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Generalized Qualification and Qualification Levels for Spectral Regularization Methods

Journal of Optimization Theory and Applications ◽

10.1007/s10957-008-9492-1 ◽

2009 ◽

Vol 141 (3) ◽

pp. 547-567 ◽

Cited By ~ 1

Author(s):

T. Herdman ◽

R. D. Spies ◽

K. G. Temperini

Keyword(s):

Regularization Methods ◽

Spectral Regularization

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Two regularization methods and the order optimal error estimates for a sideways parabolic equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2004.08.012 ◽

2005 ◽

Vol 49 (5-6) ◽

pp. 777-788 ◽

Cited By ~ 10

Author(s):

Peng Fu ◽

Chu-Li Fu ◽

Xiang-Tuan Xiong ◽

Hong-Fang Li

Keyword(s):

Parabolic Equation ◽

Error Estimates ◽

Optimal Error Estimates ◽

Regularization Methods ◽

Optimal Error

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Regularization Methods of the Continuation Problem for the Parabolic Equation

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_22 ◽

2017 ◽

pp. 220-226 ◽

Cited By ~ 1

Author(s):

Andrey Belonosov ◽

Maxim Shishlenin

Keyword(s):

Parabolic Equation ◽

Regularization Methods ◽

Continuation Problem

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Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.10.011 ◽

2004 ◽

Vol 167 (2) ◽

pp. 449-463 ◽

Cited By ~ 58

Author(s):

Chu-Li Fu

Keyword(s):

Parabolic Equation ◽

Regularization Methods

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Regularization methods for a Cauchy problem for a parabolic equation in multiple dimensions

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip.2009.052 ◽

2009 ◽

Vol 17 (9) ◽

Cited By ~ 2

Author(s):

Zhi Qian

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Regularization Methods ◽

Multiple Dimensions

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On convergence rates of some iterative regularization methods for an inverse problem for a nonlinear parabolic equation connected with continuous casting of steel

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip.1999.7.2.145 ◽

1999 ◽

Vol 7 (2) ◽

Cited By ~ 4

Author(s):

B. KALTENBACHER

Keyword(s):

Inverse Problem ◽

Parabolic Equation ◽

Continuous Casting ◽

Nonlinear Parabolic Equation ◽

Convergence Rates ◽

Regularization Methods ◽

Continuous Casting Of Steel ◽

Iterative Regularization ◽

Nonlinear Parabolic

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On the existence of global saturation for spectral regularization methods with optimal qualification

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jip-2012-0049 ◽

2012 ◽

Vol 20 (5-6) ◽

Author(s):

Gisela L. Mazzieri ◽

Ruben D. Spies ◽

Karina G. Temperini

Keyword(s):

Regularization Methods ◽

Spectral Regularization

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