Found 227 Documents (Results 1–100)
The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data. (English) Zbl 1531.35392
Deep-plug-and-play proximal Gauss-Newton method with applications to nonlinear, ill-posed inverse problems. (English) Zbl 07725199
A modified steepest descent method for solving non-smooth inverse problems. (English) Zbl 1512.65090
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth. (English) Zbl 1517.35270
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies. (English) Zbl 1517.35217
Deautoconvolution in the two-dimensional case. (English) Zbl 07693762
Reviewer: Bangti Jin (London)
On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case. (English) Zbl 07690474
Reviewer: Robert Plato (Siegen)
Inverse problems for a class of elliptic obstacle problems involving multivalued convection term and weighted \((p,q)\)-Laplacian. (English) Zbl 1509.35385
Identification of time-dependent potential in a fourth-order pseudo-hyperbolic equation from additional measurement. (English) Zbl 1531.65148
On inverse problems with pointwise overdetermination for mathematical models of heat and mass transfer. (English) Zbl 1506.35280
An inverse problem of fourth-order partial differential equation with nonlocal integral condition. (English) Zbl 1535.65224
On a problem for the nonlinear diffusion equation with conformable time derivative. (English) Zbl 1500.35291
An iterative scheme for imaging acoustic obstacle from phaseless total-field data. (English) Zbl 1494.65093
An inverse source problem for pseudo-parabolic equation with Caputo derivative. (English) Zbl 1490.35542
An inverse problem for investigating the time-dependent coefficient in a higher-order equation. (English) Zbl 1499.65470
Fractional filter method for recovering the historical distribution for diffusion equations with coupling operator of local and nonlocal type. (English) Zbl 1486.65153
An asymptotical regularization with convex constraints for inverse problems. (English) Zbl 1496.65149
Reviewer: Robert Plato (Siegen)
Nonlinear conjugate gradient method for identifying Young’s modulus of the elasticity imaging inverse problem. (English) Zbl 07480128
On a final value problem for a class of nonlinear hyperbolic equations with damping term. (English) Zbl 1480.35404
Identifying the source function for time fractional diffusion with non-local in time conditions. (English) Zbl 1476.35113
Reconstructing an unknown potential term in the third-order pseudo-parabolic problem. (English) Zbl 1476.65219
A \(C^1-C^0\) conforming virtual element discretization for the transmission eigenvalue problem. (English) Zbl 1510.65290
On the stabilization of singular identification problem of an unknown discontinuous diffusion parameter in elliptic equation. (English) Zbl 1524.35749
Recovery of timewise-dependent heat source for hyperbolic PDE from an integral condition. (English) Zbl 1486.65151
Inverse problems for nonlinear quasi-variational hemivariational inequalities with application to obstacle problems of elliptic type. (English) Zbl 1469.35260
Regularization of a nonlinear inverse problem by discrete mollification method. (English) Zbl 1474.35687
Erratum to: “Inverse problems for abstract evolution equations. II: Higher order differentiability for viscoelasticity”. (English) Zbl 1469.35254
Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift. (English) Zbl 1475.35432
Reviewer: Robert Plato (Siegen)
MSC:
35R60
26A33
35A01
35A02
35R11
35R30
35R25
49M37
60G60
60H40
60J65
65M30
65M32
65T50
90C25
35K20
Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system. (English) Zbl 1473.35529
Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. (English) Zbl 1475.65175
Reconstruction of the heat transfer coefficient at the interface of a bi-material. (English) Zbl 1466.80010
Variational method for determining the complex-valued coefficients of a nonlinear nonstationary Schrödinger-type equation. (English. Russian original) Zbl 1455.78012
Comput. Math. Math. Phys. 60, No. 11, 1923-1935 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1985-1997 (2020).
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
A new algorithm to determine the creation or depletion term of parabolic equations from boundary measurements. (English) Zbl 1454.65107
Reviewer: Christian Clason (Graz)
Convergence analysis of the adjoint ensemble method in inverse source problems for advection-diffusion-reaction models with image-type measurements. (English) Zbl 1440.86006
Convergence analysis of Tikhonov regularization for non-linear statistical inverse problems. (English) Zbl 1473.65065
Tikhonov regularization with oversmoothing penalty for nonlinear statistical inverse problems. (English) Zbl 1442.62104
Simultaneous reconstruction of emission and attenuation in passive gamma emission tomography of spent nuclear fuel. (English) Zbl 1455.65239
Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data. (English) Zbl 1436.35327
A first approach to learning a best basis for gravitational field modelling. (English) Zbl 1504.86024
Reconstruction of inner boundaries subjected to generalized impedance boundary conditions for the modified Helmholtz equation. (English) Zbl 1434.65229
Regularization of a final value problem for a nonlinear biharmonic equation. (English) Zbl 1434.65165
Inverse problems for abstract evolution equations. II: Higher order differentiability for viscoelasticity. (English) Zbl 1427.35361
SIAM J. Appl. Math. 79, No. 6, 2639-2662 (2019); erratum ibid. 81, No. 1, 282-283 (2021).
Unknown functions estimation in a parabolic equation arises from diffusion tensor magnetic resonance imaging. (English) Zbl 1438.65221
Truncated spectral regularization for an ill-posed non-linear parabolic problem. (English) Zbl 1513.35306
Reviewer: Bernd Hofmann (Chemnitz)
Identification of an inverse source problem for time-fractional diffusion equation with random noise. (English) Zbl 1407.35093
Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data. (English) Zbl 1524.65480
Regularization method for solving a backward heat conduction problem based on wavelet shrinkage. (Chinese. English summary) Zbl 1438.65217
Multi-model method for solving nonlinear transient inverse heat conduction problems. (English) Zbl 1409.80002
Source conditions and accuracy estimates in Tikhonov’s scheme of solving ill-posed nonconvex optimization problems. (English) Zbl 1398.65115
On convergence and convergence rates for Ivanov and Morozov regularization and application to some parameter identification problems in elliptic PDEs. (English) Zbl 1415.65128
Reviewer: Robert Plato (Siegen)
Regularization algorithms for ill-posed problems. (English) Zbl 1436.65004
Inverse and Ill-Posed Problems Series 61. Berlin: De Gruyter (ISBN 978-3-11-055630-8/hbk; 978-3-11-055735-0/ebook). xvi, 323 p. (2018).
Reviewer: Robert Plato (Siegen)
Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method. (English) Zbl 1478.65060
The variational iteration method for an inverse problem of finding a source parameter. (English) Zbl 1488.35275
The simulation of the 16 September 2015 Chile (Illapel) tsunami source by the inversion of tsunami waveforms. (English) Zbl 1413.86008
Barycentric interpolation collocation method of numerical solution of the parameter inverse problem for nonlinear parabolic equations. (Chinese. English summary) Zbl 1399.65226
Fourier truncation regularization for a class of nonlinear backward heat equation. (Chinese. English summary) Zbl 1389.35185
Introduction to inverse problems for differential equations. (English) Zbl 1385.65053
Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017).
Reviewer: Robert Plato (Siegen)
MSC:
65M32
65R20
35-02
34A55
35R30
44A12
47A52
47J06
47J25
65N21
78A46
80A23
35Q61
65-02
65J22
65J20
A coupled complex boundary method for an inverse conductivity problem with one measurement. (English) Zbl 1370.65065
Reviewer: Ivan Secrieru (Chişinău)
Non-linear Tikhonov regularization in Banach spaces for inverse scattering from anisotropic penetrable media. (English) Zbl 1416.94019
Regularizing algorithms with optimal and extra-optimal quality. (Russian, English) Zbl 1374.65097
Sib. Zh. Vychisl. Mat. 19, No. 4, 371-383 (2016); translation in Numer. Analysis Appl. 9, No. 4, 288-298 (2016).
Recovering a tsunami source and designing an observational system based on an \(r\)-solution method. (Russian, English) Zbl 1374.86025
Sib. Zh. Vychisl. Mat. 19, No. 4, 343-356 (2016); translation in Numer. Analysis Appl. 9, No. 4, 267-276 (2016).
A regularization method for time-fractional linear inverse diffusion problems. (English) Zbl 1349.35146
Two-grid full-waveform inversion in the time domain. (Chinese. English summary) Zbl 1363.65153
Equivalent permittivity of binary objects obtained by inversion of their response to impressed potentials. (English) Zbl 1342.78015
Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization. (English) Zbl 1342.78045
Reviewer: Teodora-Liliana Rădulescu (Craiova)
The regularized orthogonal functional matching pursuit for ill-posed inverse problems. (English) Zbl 1382.65162
Analysis of an adaptive finite element method for recovering the Robin coefficient. (English) Zbl 1355.65148
Second order regularized continuous method for accretive inclusions. (Russian. English summary) Zbl 1340.65111
Reviewer: Boris V. Loginov (Ul’yanovsk)
On the connection and equivalence of two methods for solving an ill-posed inverse problem based on FRAP data. (English) Zbl 1321.65145
Multilevel preconditioning for sparse optimization of functionals with nonconvex fidelity terms. (English) Zbl 1321.65089
Novel regularization methods for ill-posed problems in Hilbert and Banach spaces. Paper from the 30th Brazilian mathematics colloquium – 30\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 26–31, 2015. (English) Zbl 1323.65060
Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0410-8). ix, 121 p., open access (2015).
Reviewer: Bernd Hofmann (Chemnitz)
A wavelet multi-scale method for the inverse problem of diffuse optical tomography. (English) Zbl 1317.65194
Model-aware Newton-type inversion scheme for electrical impedance tomography. (English) Zbl 1316.47049
Deautoconvolution: A new decomposition approach versus TIGRA and local regularization. (English) Zbl 1316.47048
Inverse Problems. Basics, theory and applied examples. (Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele.) (German) Zbl 1331.65083
Mathematik im Fokus. Heidelberg: Springer Spektrum (ISBN 978-3-662-45810-5/pbk; 978-3-662-45811-2/ebook). ix, 128 p. (2015).
Reviewer: Robert Plato (Siegen)
MSC:
65J22
65-01
65L08
65L09
65Z05
00A69
00A06
65R32
65R30
65R10
44A12
45B05
45D05
65T50
65J20
47A52
47J06
94A12
92C55
65M32
65N21
The backward group preserving scheme for multi-dimensional nonhomogeneous and nonlinear backward wave problems. (English) Zbl 1429.65219
A Hessian-based method for uncertainty quantification in global Ocean state estimation. (English) Zbl 1311.35321
Reviewer: Vladimir Mityushev (Kraków)
Non-parametric calibration of the local volatility surface for European options using a second-order Tikhonov regularization. (English) Zbl 1294.91187
A fast nonstationary iterative method with convex penalty for inverse problems in Hilbert spaces. (English) Zbl 1297.65059
Reviewer: Peter Zabreiko (Minsk)
Assimilation of observation data in the problem of surface wave propagation in a water area with an open boundary. (English) Zbl 1292.86002
An efficient method for Cauchy problem of ill-posed nonlinear diffusion equation. (English) Zbl 1357.65155
About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method. (Russian. English summary) Zbl 1331.47017
Synergy of inverse problems and data assimilation techniques. (English) Zbl 1291.65171
Cullen, Mike (ed.) et al., Large scale inverse problems. Computational methods and applications in the Earth sciences. Based on the invited talks of the workshop, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, October 24–28, 2011. Berlin: de Gruyter (ISBN 978-3-11-028222-1/hbk; 978-3-11-028226-9/ebook). Radon Series on Computational and Applied Mathematics 13, 1-53 (2013).
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