scholarly journals Convergence analysis of Tikhonov regularization for non-linear statistical inverse problems

2020 ◽  
Vol 14 (2) ◽  
pp. 2798-2841
Author(s):  
Abhishake Rastogi ◽  
Gilles Blanchard ◽  
Peter Mathé
Keyword(s):  
Inverse Problems ◽  
Convergence Analysis ◽  
Tikhonov Regularization ◽  
Non Linear ◽  
Statistical Inverse Problems

scholarly journals DISCRETIZATION ERROR ANALYSIS FOR TIKHONOV REGULARIZATION

2006 ◽  
Vol 04 (01) ◽  
pp. 81-99 ◽  
Author(s):  
ERNESTO DE VITO ◽  
LORENZO ROSASCO ◽  
ANDREA CAPONNETTO
Keyword(s):  
Inverse Problems ◽  
Error Analysis ◽  
Convergence Analysis ◽  
Integral Equations ◽  
Tikhonov Regularization ◽  
Discretization Error ◽  
Learning From Examples ◽  
Carleman Operator

We study the discretization of inverse problems defined by a Carleman operator. In particular, we develop a discretization strategy for this class of inverse problems and we give a convergence analysis. Learning from examples, as well as the discretization of integral equations, can be analyzed in our setting.

Convergence analysis of the non-linear CMFD schemes for acceleration of multi-group fixed source neutron transport calculations

2021 ◽  
Vol 153 ◽  
pp. 108041
Author(s):  
Lakshay Jain ◽  
Mohanakrishnan Prabhakaran ◽  
Ramamoorthy Karthikeyan ◽  
Umasankari Kannan
Keyword(s):  
Convergence Analysis ◽  
Neutron Transport ◽  
Source Neutron ◽  
Non Linear

scholarly journals On local fractional Volterra integro-differential equations in fractal steady heat transfer

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 789-793 ◽  
Author(s):  
Ai-Min Yang ◽  
Yang Han ◽  
Yu-Zhu Zhang ◽  
Li-Ting Wang ◽  
Di Zhang ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Inverse Problems ◽  
Differential Equations ◽  
Non Linear ◽  
Steady Heat

In this paper we address the inverse problems for the fractal steady heat transfer described by the local fractional linear and non-linear Volterra integro-differential equations. The Volterra integro-differential equations are presented for investigating the fractal heat-transfer.

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