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ill-posed problems
Items for "ill-posed problems"
Computation of discontinuous solutions of 2D linear ill-posed integral equations via adaptive grid regularization
In this paper we apply the new regularization method a
Keywords: ill-posed problems, integral equations, regularization methods, adaptive grid regularization, adaptive grids
04/2007 | Journal of Inverse and Ill-posed Problems, Walter de GruyterOn the ill-posedness and regularization of third-kind integral equations
Linear integral equations of the third kind usually lead to ill-posed inverse problems if the
normed solution space
Keywords: ill-posed problems, regularization methods, linear integral equations, boundary value problems, compactly disturbed multiplication operators
07/2007 | Journal of Inverse and Ill-posed Problems, Walter de GruyterOn the quasioptimal regularization parameter choices for solving ill-posed problems
Usual way to characterize the quality of the different a posteriori parameter choices is to prove their order-optimality on the different sets of solutions...
Keywords: ill-posed problems, regularization parameter, quasioptimal choice, discrepancy principle, Lepskii principle, monotone error rule
07/2007 | Journal of Inverse and Ill-posed Problems, Walter de GruyterConvergence results for the Bayesian inversion theory
In this paper we derive convergence results for regularized solutions of linear inverse problems obtained by the Bayesian approach in the Ky Fan metric...
Keywords: Bayesion inversion theory, regularization, ill-posed problems
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de GruyterOn reduction of informational expenses in solving ill-posed problems with not exactly given input data
A class of approximate methods to solve operator equations of first kind with not exactly given input data is constructed...
Keywords: ill-posed problems, regularization method, discretization, projection scheme, discrepancy principle
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de GruyterRegularization of linear ill-posed problems with noisy right hand side and noisy operator
For solving linear ill-posed problems regularization methods are required when the right hand side and the operator is with some noise...
Keywords: ill-posed problems, inverse problems, noisy right hand side, noisy operator, Tikhonov regularization, regularized total least squares, general source conditions, order optimal error bounds
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de GruyterConvergence rates and source conditions for Tikhonov regularization with sparsity constraints
This paper addresses the regularization by sparsity constraints by means of weighted ?
Keywords: Sparsity constraint, ill-posed problems, Tikhonov regularization
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de GruyterSolving constraint ill-posed problems using GinzburgLandau regularization functionals
We consider constrained ill-posed operator equations. The constraints are such that in one case we restrict the domain to functions which are piecewise constant...
Keywords: ill-posed problems, regularization methods, inverse conductivity
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter