Found 51 Documents (Results 1–51)
Hierarchical ensemble Kalman methods with sparsity-promoting generalized gamma hyperpriors. (English) Zbl 07805180
A collocation method for Fredholm integral equations of the first kind via iterative regularization scheme. (English) Zbl 07706391
On a novel seventh convergence order method for solving nonlinear equations and its extensions. (English) Zbl 1504.65120
MSC:
65J20
Generalized relaxed inertial method with regularization for solving split feasibility problems in real Hilbert spaces. (English) Zbl 07545958
Finite-dimensional iteratively regularized processes with an a posteriori stopping for solving irregular nonlinear operator equations. (English) Zbl 1490.65111
On coefficient inverse problems of heat conduction for functionally graded materials. (English) Zbl 1478.80001
Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 303-316 (2021).
On the clustering of stationary points of Tikhonov’s functional for conditionally well-posed inverse problems. (English) Zbl 1465.65046
Unification of some iterative and proximal like methods for asymptotically nonexpansive and quasi-nonexpansive mappings. (English) Zbl 1477.47088
A proximal regularized Gauss-Newton-Kaczmarz method and its acceleration for nonlinear ill-posed problems. (English) Zbl 1434.65231
Extended Newton-type iteration for nonlinear ill-posed equations in Banach space. (English) Zbl 1468.65068
Source conditions and accuracy estimates in Tikhonov’s scheme of solving ill-posed nonconvex optimization problems. (English) Zbl 1398.65115
A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems. (English) Zbl 1334.65110
A finite element method for deblurring images. (English) Zbl 1336.65016
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-16726-8/hbk; 978-3-319-16727-5/ebook). 291-299 (2015).
On adaptive discretization schemes for the solution of ill-posed problems with semiiterative methods. (English) Zbl 1337.65035
Reviewer: Liu Xinguo (Qingdao)
Variational image segmentation models involving non-smooth data-fidelity terms. (English) Zbl 1304.65106
Two efficient algorithms for surface construction. (English) Zbl 1292.65015
Reviewer: H. P. Dikshit (Bhopal)
MSC:
65D17
Discrete total variation flows without regularization. (English) Zbl 1292.65106
Reviewer: Jan Lovíšek (Bratislava)
General iterative scheme based on the regularization for solving a constrained convex minimization problem. (English) Zbl 1496.47105
Application of discrete wavelet transform to the solution of boundary value problems for quasi-linear parabolic equations. (English) Zbl 1286.65136
Tikhonov regularization in \(L^p\) applied to inverse medium scattering. (English) Zbl 1282.65140
Reviewer: Vladimir L. Makarov (Kyïv)
On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces. (Russian, English) Zbl 1247.47054
Zh. Vychisl. Mat. Mat. Fiz. 52, No. 3, 483-498 (2012); translation in Comput. Math. Math. Phys. 52, No. 3, 411-426 (2012).
A convergence analysis of nonlinear implicit iterative method for nonlinear ill-posed problems. (English) Zbl 1248.65056
Reviewer: Werner H. Schmidt (Greifswald)
The order of convergence for Landweber scheme with \(\alpha,\beta\)-rule. (English) Zbl 1244.65049
Reviewer: Petr Tichý (Prague)
A regularized dynamical system method for nonlinear ill-posed Hammerstein type operator equations. (English) Zbl 1253.65082
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
A Newton-implicit iterative method for nonlinear inverse problems. (English) Zbl 1239.65032
Reviewer: Robert Plato (Siegen)
Comparative application of CGM and Wiener filtering techniques for the estimation of heat flux distribution. (English) Zbl 1220.65127
Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations. (Russian, English) Zbl 1217.47105
Zh. Vychisl. Mat. Mat. Fiz. 50, No. 4, 651-664 (2010); translation in Comput. Math., Math. Phys. 50, No. 4, 620-631 (2010).
On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems. (English) Zbl 1189.65114
Reviewer: Iulian Coroian (Baia Mare)
Multigrid algorithms for inverse problems with linear parabolic PDE constraints. (English) Zbl 1185.65174
Newton-type methods for the mixed finite element discretization of some degenerate parabolic equations. (English) Zbl 1119.65391
Bermúdez de Castro, Alfredo (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2005, the 6th European conference on numerical mathematics and advanced applications, Santiago de Compostela, Spain, July 18–22, 2005. Berlin: Springer (ISBN 3-540-34287-7/hbk). 1192-1200 (2006).
Continuous methods for stable approximation of solutions to nonlinear equations in the Banach space based on the regularised Newton-Kantarovich scheme. (Russian. English summary) Zbl 1052.65053
Reviewer: V. Grebenev (Novosibirsk)
Splitting based on the outer inverse of matrices. (English) Zbl 1034.65024
Reviewer: Constantin Popa (Constanta)
Iterative algorithms for multiscale state estimation. II: Numerical investigations. (English) Zbl 1002.93059
Reviewer: Guy Jumarie (Montréal)
Inverse obstacle scattering for homogeneous dielectric cylinders using a boundary finite-element method. (English) Zbl 1113.78310
Iterative solutions of multilinear ill-posed problems with an application to medical imaging. (English) Zbl 0957.65050
Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations. (English) Zbl 0949.74076
Reviewer: Ján Sládek (Bratislava)
Existence and uniqueness of solutions of the Boussinesq system with nonlinear thermal diffusion. (English) Zbl 0916.35087
Reviewer: O.Titow (Berlin)
A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. (English) Zbl 0873.65057
Reviewer: W.C.Rheinboldt (Pittsburgh)
A sequential regularization method for time-dependent incompressible Navier-Stokes equations. (English) Zbl 0882.76018
Numerical method for solving an irreversible thermal conduction problem. (English. Russian original) Zbl 0863.65054
Differ. Equations 31, No. 7, 1141-1145 (1995); translation from Differ. Uravn. 31, No. 7, 1198-1201 (1995).
Reviewer: V.Chernyatin (Szczecin)
On certain minimizing the discrepancy method for operator regularization of equations of first kind. (English. Russian original) Zbl 0839.47044
Russ. Math. 37, No. 12, 59-69 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 12, 59-69 (1993).
Reviewer: G.Aniculaesei (Iaşi)
An iterative algorithm for determining the regularization parameter in the method of least discrepancy estimation. (English. Russian original) Zbl 0805.65053
Comput. Math. Math. Phys. 31, No. 1, 106-108 (1991); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 1, 151-153 (1991).
An iterative algorithm for determining a regularization parameter in the method of least residual estimate. (Russian) Zbl 0731.65044
Reviewer: A.Galántai (Miskolc-Egyetemvaros)
Tikhonov regularization of ill-posed problems by cubic splines. (Italian. English summary) Zbl 0769.65020
MSC:
65F20
A unified theory of nonlinear operator and evolution equations with applications. A new approach to nonlinear partial differential equations. (English) Zbl 0596.35001
Reviewer: R.Carroll
Iterative methods in ill-posed problems with random errors. (English. Russian original) Zbl 0575.65051
Autom. Remote Control 45, 1564-1569 (1984); translation from Avtom. Telemekh. 1984, No. 12, 34-39 (1984).
Reviewer: R.Gorenflo
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