Results 11 to 20 of about 23,965 (163)
On Tikhonov's Method for Ill-Posed Problems [PDF]
Mathematics of Computation, 1974 For Tikhonov’s regularization of ill-posed linear integral equations, numerical accuracy is estimated by a modulus of convergence, for which upper and lower bounds are obtained. Applications are made to the backward heat equation, to harmonic continuation, and to numerical differentiation.
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Theoretical and Experimental Heat Transfer in Solid Propellant Rocket Engine [PDF]
Journal of Aerospace Technology and Management, 2019 Accurate determination of heat flux is an important task not only in the designing aspect but also in the performance analysis of rocket engines. In this purpose, this work deals with the heat flux determination in a combustion chamber through the ...
Izabel Cecilia Ferreira de Souza Vicentin +7 more
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Optimisation in the regularisation ill-posed problems [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1986 We survey the role played by optimization in the choice of parameters for Tikhonov regularization of first-kind integral equations. Asymptotic analyses are presented for a selection of practical optimizing methods applied to a model deconvolution problem. These methods include the discrepancy principle, cross-validation and maximum likelihood.
Davies, A. R., Anderssen, R. S.
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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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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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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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Ill-Posed Inverse Problems in Economics [PDF]
Annual Review of Economics, 2013 A parameter of an econometric model is identified if there is a one-to-one or many-to-one mapping from the population distribution of the available data to the parameter. Often, this mapping is obtained by inverting a mapping from the parameter to the population distribution.
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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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