A potential‐free field inverse time‐fractional Schrödinger problem: Optimal error bound analysis and regularization method

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6826 ◽

2020 ◽

Vol 44 (2) ◽

pp. 1219-1251 ◽

Author(s):

Fan Yang ◽

Jun‐Liang Fu ◽

Xiao‐Xiao Li

Keyword(s):

Error Bound ◽

Regularization Method ◽

Optimal Error ◽

Error Bound Analysis ◽

Optimal Error Bound ◽

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A potential-free field inverse time-fractional Schrödinger problem: optimal error bound analysis and regularization method

Authorea ◽

10.22541/au.158801044.47478041 ◽

2020 ◽

Author(s):

Fan Yang ◽

Junliang Fu ◽

Xiao Xiao Li

Keyword(s):

Error Bound ◽

Regularization Method ◽

Optimal Error ◽

Error Bound Analysis ◽

Optimal Error Bound ◽

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A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2019.1700243 ◽

2019 ◽

Vol 28 (9) ◽

pp. 1209-1252 ◽

Author(s):

Fan Yang ◽

Jun-Liang Fu ◽

Xiao-Xiao Li

Keyword(s):

Error Bound ◽

Regularization Method ◽

Optimal Error ◽

Error Bound Analysis ◽

Optimal Error Bound ◽

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Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2021.1900841 ◽

2021 ◽

pp. 1-45

Author(s):

Fan Yang ◽

Qian-Chao Wang ◽

Xiao-Xiao Li

Keyword(s):

Diffusion Equation ◽

Source Identification ◽

Regularization Method ◽

Identification Problem ◽

Fractional Diffusion ◽

Optimal Error ◽

Time Fractional Diffusion Equation ◽

Error Bound Analysis ◽

Optimal Error Bound ◽

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Identifying initial value problem for time‐fractional diffusion equation with Caputo‐like counterpart hyper‐Bessel operator: Optimal error bound analysis and regularization method

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7236 ◽

2021 ◽

Author(s):

Fan Yang ◽

Qiao‐Xi Sun ◽

Xiao‐Xiao Li

Keyword(s):

Diffusion Equation ◽

Initial Value Problem ◽

Regularization Method ◽

Fractional Diffusion ◽

Initial Value ◽

Optimal Error ◽

Time Fractional Diffusion Equation ◽

Error Bound Analysis ◽

Optimal Error Bound ◽

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Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.11.026 ◽

2015 ◽

Vol 279 ◽

pp. 277-292 ◽

Author(s):

Jun-Gang Wang ◽

Ting Wei ◽

Yu-Bin Zhou

Keyword(s):

Diffusion Equation ◽

Error Bound ◽

Tikhonov Regularization ◽

Regularization Method ◽

Fractional Diffusion ◽

Tikhonov Regularization Method ◽

Optimal Error ◽

Backward Problem ◽

Time Fractional Diffusion Equation ◽

Optimal Error Bound

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Optimal error bound and truncation regularization method for a backward time-fractional diffusion problem in Hilbert scales

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106448 ◽

2020 ◽

Vol 107 ◽

pp. 106448

Author(s):

Dinh Nguyen Duy Hai ◽

Dang Duc Trong

Keyword(s):

Error Bound ◽

Regularization Method ◽

Fractional Diffusion ◽

Diffusion Problem ◽

Optimal Error ◽

Optimal Error Bound

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Optimal error bound and a quasi-boundary value regularization method for a Cauchy problem of the modified Helmholtz equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1083555 ◽

2015 ◽

Vol 93 (12) ◽

pp. 2028-2041 ◽

Author(s):

Ailin Qian ◽

Xiaomei Yang ◽

Yousheng Wu

Keyword(s):

Cauchy Problem ◽

Helmholtz Equation ◽

Error Bound ◽

Regularization Method ◽

Boundary Value ◽

Optimal Error ◽

Modified Helmholtz Equation ◽

Optimal Error Bound

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Error bound analysis of the D-gap functions for a class of elliptic variational inequalities with applications to frictional contact mechanics

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01602-x ◽

2021 ◽

Vol 72 (5) ◽

Author(s):

Nguyen Van Hung ◽

Vo Minh Tam

Keyword(s):

Variational Inequalities ◽

Contact Mechanics ◽

Error Bound ◽

Frictional Contact ◽

Gap Functions ◽

Elliptic Variational Inequalities ◽

Error Bound Analysis ◽

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Convergence and error bound analysis for the space-time CESE method

Numerical Methods for Partial Differential Equations ◽

10.1002/1098-2426(200101)17:1<64::aid-num5>3.0.co;2-6 ◽

2001 ◽

Vol 17 (1) ◽

pp. 64-78 ◽

Author(s):

Daoqi Yang ◽

Shengtao Yu ◽

Jennifer Zhao

Keyword(s):

Error Bound ◽

Error Bound Analysis ◽

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Optimal Error Bound and A Semi-discrete Difference Scheme for the Cauchy Problem of the Modified Helmholtz Equation

Proceedings of the 2017 International Conference on Manufacturing Engineering and Intelligent Materials (ICMEIM 2017) ◽

10.2991/icmeim-17.2017.32 ◽

2017 ◽

Author(s):

Ai-lin Qian ◽

Zi-min Chen

Keyword(s):

Cauchy Problem ◽

Difference Scheme ◽

Helmholtz Equation ◽

Error Bound ◽

Optimal Error ◽

Modified Helmholtz Equation ◽

The Cauchy Problem ◽

Optimal Error Bound

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