Results 21 to 30 of about 76,152 (305)
A comparison of regularizations for an ill-posed problem [PDF]
Mathematics of Computation, 1998 We consider numerical methods for a “quasi-boundary value” regularization of the backward parabolic problem given by \[ {
Karen A. Ames +3 more
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GPR prospecting in a layered medium via microwave tomography
Annals of Geophysics, 2003 The tomographic approach appears to be a promising way to elaborate Ground Penetrating Radar (GPR) data in order to achieve quantitative information on the tested regions.
F. Soldovieri, L. Crocco
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Approximation of Bayesian inverse problems for PDEs [PDF]
, 2010 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
Dashti, Massoumeh +7 more
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Regularization of Linear Ill-Posed Problems involving Multiplication Operators
, 2020 We study regularization of ill-posed equations involving multiplication operators when the multiplier function is positive almost everywhere and zero is an accumulation point of the range of this function.
Mathé, Peter +2 more
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Ill-posed problems in early vision [PDF]
Proceedings of the IEEE, 1988 Mathematical results on ill-posed and ill-conditioned problems are reviewed and the formal aspects of regularization theory in the linear case are introduced. Specific topics in early vision and their regularization are then analyzed rigorously, characterizing existence, uniqueness, and stability of solutions.
Mario Bertero +2 more
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Self-regularization of projection methods with a posteriori discretization level choice for severely ill-posed problems [PDF]
, 2002 It is well known that projection schemes for certain linear ill-posed problems A퓍 = y can be regularized by a proper choice of the discretization level only, where no additional regularization is needed.
Bruckner, Gottfried +1 more
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A Modified Asymptotical Regularization of Nonlinear Ill-Posed Problems
Mathematics, 2019 In this paper, we investigate the continuous version of modified iterative Runge–Kutta-type methods for nonlinear inverse ill-posed problems proposed in a previous work.
Pornsarp Pornsawad +2 more
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Mathematical Modelling and Analysis, 2002 We consider linear ill‐posed problems Au = ƒ with minimum‐norm solution u*. Instead of ƒ noisy data ƒδ are given satisfying ‖ƒδ — ƒ‖ ≤ δ with known noise level 5.
U. Hamarik, E. Avi, A. Ganina
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A Finite Volume Method to Solve the Ill-Posed Elliptic Problems
Mathematics, 2022 In this paper, we propose a finite volume element method of primal-dual type to solve the ill-posed elliptic problem, that is, the elliptic problem with lacking or overlapping boundary value condition.
Ying Sheng, Tie Zhang
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Modelling and Simulation in Engineering, 2020 In many references, both the ill-posed and inverse boundary value problems are solved iteratively. The iterative procedures are based on firstly converting the problem into a well-posed one by assuming the missing boundary values.
Mohammed Hamaidi +3 more
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