Found 3,016 Documents (Results 1–100)
Lectures on functional analysis and applications (to appear). 2nd edition. (English) Zbl 07029832
Hackensack, NJ: World Scientific (ISBN 978-981-3203-17-4/hbk; 978-981-3203-18-1/pbk). 800 p. (2025).
An inverse problem for pseudoparabolic equation: existence, uniqueness, stability, and numerical analysis. (English) Zbl 07929377
The fractional Tikhonov regularization method for simultaneous inversion of the source term and initial value in a space-fractional Allen-Cahn equation. (English) Zbl 07924048
Regularization methods for solving inverse problems: a comprehensive review. (English) Zbl 07919576
Ashyralyev, Allaberen (ed.) et al., Analysis and applied mathematics. Extended abstracts of the 2022 joint seminar. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 6, 87-99 (2024).
A modified Levenberg-Marquardt scheme for solving a class of parameter identification problems. (English) Zbl 07915854
Bayesian experimental design for head imaging by electrical impedance tomography. (English) Zbl 07906767
Hopf’s lemma and uniqueness of simultaneously determining source profile and Robin coefficient in a fractional diffusion equation by interior data. (Hopf’s lemma and uniqueness of simultaneously determining source profile and Robin coefficient in a fractional diffusionequation by interior data.) (English) Zbl 07901604
Identifying the source term in the potential equation with weighted sparsity regularization. (English) Zbl 07899598
A preconditioned Krylov subspace method for linear inverse problems with general-form Tikhonov regularization. (English) Zbl 07899182
A new second-order dynamical method for solving linear inverse problems in Hilbert spaces. (English) Zbl 07894882
A class of new extended generalized shift-splitting preconditioners for \(3\times 3\) block saddle point problems. (English) Zbl 07893874
On the improvement of shift-splitting preconditioners for double saddle point problems. (English) Zbl 07893821
A modified Tikhonov regularization method for a Cauchy problem of the biharmonic equation. (English) Zbl 07892714
Extract the information via multiple repeated observations under randomly distributed noise. (English) Zbl 07892351
The modified fractional-order quasi-reversibility method for a class of direct and inverse problems governed by time-fractional heat equations with involution perturbation. (English) Zbl 07883044
Approximate controllability of semilinear control system with state delay using Tikhonov regularization. (English) Zbl 07878105
Simultaneous inversion of the source term and initial value of the time fractional diffusion equation. (English) Zbl 1542.35456
Point spread function approximation of high-rank Hessians with locally supported nonnegative integral kernels. (English) Zbl 07852698
Learning weakly convex regularizers for convergent image-reconstruction algorithms. (English) Zbl 07851426
Comparison of two linearization-based methods for 3-D EIT reconstructions on a simulated chest. (English) Zbl 07847958
A review of regularization strategies and solution techniques for ill-posed inverse problems, with application to inverse heat transfer problems. (English) Zbl 1536.65096
“Fast” algorithm for solving some three-dimensional inverse problems of magnetometry. (Russian. English summary) Zbl 1537.65062
Variational data assimilation and its decoupled iterative numerical algorithms for Stokes-Darcy model. (English) Zbl 1540.35422
MSC:
35Q93
35Q35
76S05
76D07
65M60
65M06
65N30
65K10
65J20
65F22
65F10
76M10
76M20
49M41
93C20
35A01
35A02
An echelon form of weakly infeasible semidefinite programs and bad projections of the psd cone. (English) Zbl 07835550
Differential equations in Banach spaces with an noninvertible operator in the principal part and nonclassical initial conditions. (English. Russian original) Zbl 1537.35406
J. Math. Sci., New York 279, No. 5, 691-700 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 183, 120-129 (2020).
Estimate of the spectrum of discrete sequences in ill-posed problems based on the study of the numerical rank of the trajectory matrix. (English. Russian original) Zbl 1536.65041
J. Math. Sci., New York 279, No. 5, 644-654 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 183, 73-84 (2020).
On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method. (English) Zbl 1536.35377
A source identification problem in a bi-parabolic equation: convergence rates and some optimal results. (English) Zbl 1536.35379
Optimal learning. (English) Zbl 07814909
An accelerated forward-backward-half forward splitting algorithm for monotone inclusion with applications to image restoration. (English) Zbl 07808325
Landweber iterative method for an inverse source problem of time-space fractional diffusion-wave equation. (English) Zbl 1532.35540
Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant. (English) Zbl 1532.65067
Double precision is not necessary for LSQR for solving discrete linear ill-posed problems. (English) Zbl 1532.65019
Reconstructing the absorption function in a quasi-linear sorption dynamic model via an iterative regularizing algorithm. (English) Zbl 1538.65320
Alternated inertial algorithms for split feasibility problems. (English) Zbl 1537.65063
Reviewer: Armin Hoffmann (Ilmenau)
Stochastic linear regularization methods: random discrepancy principle and applications. (English) Zbl 1530.65059
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data. (English) Zbl 1530.65147
Linear inverse problems with Hessian-Schatten total variation. (English) Zbl 1536.46060
Reviewer: Constantin Niculescu (Craiova)
Conditional mean embedding and optimal feature selection via positive definite kernels. (English) Zbl 07770138
A relaxed iterated Tikhonov regularization for linear ill-posed inverse problems. (English) Zbl 07762475
A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation. (English) Zbl 1527.65088
Reviewer: Abdallah Bradji (Annaba)
MSC:
65M32
65M30
65M06
65T60
65K10
65J20
65F22
65M12
65M15
60G22
35A15
41A50
35A01
35A02
35R30
26A33
35R11
35R60
Comparing the ill-posedness for linear operators in Hilbert spaces. arXiv:2410.17729
Preprint, arXiv:2410.17729 [math.NA] (2024).
On \(L^\infty\) stability for wave propagation and for linear inverse problems. arXiv:2410.11467
Preprint, arXiv:2410.11467 [math.AP] (2024).
A signal recovery guarantee with Restricted Isometry Property and Null Space Property for weighted \(\ell_1\) minimization. arXiv:2410.06794
Preprint, arXiv:2410.06794 [math.CA] (2024).
Hybrid LSMR algorithms for large-scale general-form regularization. arXiv:2409.09104
Preprint, arXiv:2409.09104 [math.NA] (2024).
A Multi-Frequency Iterative Method for Reconstruction of Rough Surfaces Separating Two Penetrable Media. arXiv:2408.15298
Preprint, arXiv:2408.15298 [math.NA] (2024).
Function and derivative approximation by shallow neural networks. arXiv:2407.05078
Preprint, arXiv:2407.05078 [math.NA] (2024).
An optimal method for high order mixed derivatives of bivariate functions. arXiv:2407.03327
Preprint, arXiv:2407.03327 [math.NA] (2024).
Early stopping for conjugate gradients in statistical inverse problems. arXiv:2406.15001
Preprint, arXiv:2406.15001 [math.ST] (2024).
WITHDRAWN: Finite Time Blowup of Integer- and Fractional-Order Time-Delayed Diffusion Equations. arXiv:2406.08777
Preprint, arXiv:2406.08777 [math.AP] (2024); retraction notice ibid.
Randomized block coordinate descent method for linear ill-posed problems. arXiv:2405.13340
Preprint, arXiv:2405.13340 [math.NA] (2024).
Non-existence of solutions for a non-Gaussian equation in fractional time with Osgood type nonlinearity. arXiv:2405.13151
Preprint, arXiv:2405.13151 [math.AP] (2024).
On backward problem for a time-fractional fourth order parabolic equation. arXiv:2405.09424
Preprint, arXiv:2405.09424 [math.NA] (2024).
Regularization with optimal space-time priors. arXiv:2405.06337
Preprint, arXiv:2405.06337 [math.NA] (2024).
Maximum Discrepancy Generative Regularization and Non-Negative Matrix Factorization for Single Channel Source Separation. arXiv:2404.15296
Preprint, arXiv:2404.15296 [math.NA] (2024).
On some analytic properties of the atmospheric tomography operator: Non-Uniqueness and reconstructability issues. arXiv:2404.11126
Preprint, arXiv:2404.11126 [math.NA] (2024).
Projected Newton method for large-scale Bayesian linear inverse problems. arXiv:2403.01920
Preprint, arXiv:2403.01920 [math.NA] (2024).
An Inverse Problems Approach to Pulse Wave Analysis in the Human Brain. arXiv:2402.09803
Preprint, arXiv:2402.09803 [math.NA] (2024).
The degree of ill-posedness for some composition governed by the Cesaro operator. arXiv:2401.11411
Preprint, arXiv:2401.11411 [math.NA] (2024).
Convergence rates of stationary and non-stationary asymptotical regularization methods for statistical inverse problems in Banach spaces. (English) Zbl 07925138
New results for variational regularization with oversmoothing penalty term in Banach spaces. (English) Zbl 07918191
Regularization of classical optimality conditions in optimization problems for linear Volterra-type systems with functional constraints. (Russian. English summary) Zbl 07864337
On the role of Lagrange multipliers and duality in ill-posed problems for constrained extremum. To the 60th anniversary of the Tikhonov regularization method. (Russian. English summary) Zbl 07864327
Convergence results of nonlinear problems based on Tikhonov regularization method. (English) Zbl 1540.65166
A simplified dynamical systems method for solving nonlinear equation. (Chinese. English summary) Zbl 07828145
MSC:
65J10
Fast matrix exponential-based quasi-boundary value methods for inverse space-dependent source problems. (English) Zbl 1542.65103
MSC:
65M32
65M30
65M38
65M06
65N06
65M12
65M15
65J20
65F22
65F50
65Y05
15A16
35B65
35K05
35R30
35Q79
On the localization of fractal lines of discontinuity from noisy data. (English. Russian original) Zbl 1533.65078
Russ. Math. 67, No. 9, 23-38 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 9, 27-44 (2023).
An \(hp\) error analysis of a hybrid discontinuous mixed Galerkin method for linear viscoelasticity. (English) Zbl 1536.74267
Characterizations of adjoint Sobolev embedding operators with applications in inverse problems. (English) Zbl 07799511
An optimal method for recovering the mixed derivative \(f^{(2,2)}\) of bivariate functions. (English) Zbl 07799505
Two regularization methods for identifying the source term of Caputo-Hadamard time-fractional diffusion equation. (English) Zbl 1532.35514
Filter regularization method for inverse source problem of the Rayleigh-Stokes equation. (English) Zbl 1531.35381
Homotopy analysis method for solving the backward problem for the time-fractional diffusion equation. (English) Zbl 1538.35416
Learning regularization parameter-maps for variational image reconstruction using deep neural networks and algorithm unrolling. (English) Zbl 1530.92112
PinT preconditioner for forward-backward evolutionary equations. (English) Zbl 1530.65114
MSC:
65M55
65F08
65F10
65F22
65F15
65J20
65H10
49M41
65M06
65L06
65M12
65M15
65Y05
15B05
93B05
93B20
Source term identification of time-fractional diffusion equation under Robin boundary condition. (English) Zbl 07782377
Well- and ill-posedness for a class of the \(3D\)-generalized Kuramoto-Sivashinsky equations. (English) Zbl 1533.35026
Reviewer: Giuseppe Maria Coclite (Bari)
The backward problem for radially symmetric time-fractional diffusion-wave equation under Robin boundary condition. (English) Zbl 1529.35579
\( BV \)-spaces and the bounded composition operators of \(BV\)-functions on Carnot groups. (English. Russian original) Zbl 1535.49039
Sib. Math. J. 64, No. 6, 1420-1438 (2023); translation from Sib. Mat. Zh. 64, No. 6, 1304-1326 (2023).
Reviewer: Lakehal Belarbi (Mostaganem)
Characterization of Hölder and Sobolev spaces via the continuous wavelet transform with rotations. (English) Zbl 1533.42039
Reviewer: Elena Lebedeva (Sankt-Peterburg)
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