Found 1,331 Documents (Results 1–100)
A two-dimensional integral model of the first-kind for LIN electromagnetic data inversion. (English) Zbl 07919860
On an approximate solution to an ill-posed mixed boundary value problem for the Laplace equation in a cylindrical domain with homogeneous conditions of the second kind on the lateral surface of the cylinder. (Russian. English summary) Zbl 07918543
Source identification for parabolic equations from integral observations by the finite difference splitting method. (English) Zbl 07905656
A discretizing Tikhonov regularization method via modified parameter choice rules. (English) Zbl 07892359
Simplified REGINN-IT method in Banach spaces for nonlinear ill-posed operator equations. (English) Zbl 07892357
Multi-scale ground penetrating radar full waveform inversion with hybrid Tikhonov and total-variation regularization for different geometric structure. (English) Zbl 1542.86003
On the numerical solution of weakly singular integral equations of the first kind using a regularized projection method. (English) Zbl 07889424
Iterative methods based on low-rank matrix for solving the Yang-Baxter-like matrix equation. (English) Zbl 07862473
Discrete Legendre spectral projection-based methods for Tikhonov regularization of first kind Fredholm integral equations. (English) Zbl 07856293
Learning based numerical methods for acoustic frequency-domain simulation with high frequency. (English) Zbl 07855374
Computational methods for large-scale inverse problems: a survey on hybrid projection methods. (English) Zbl 1539.65053
Hybrid projection methods for solution decomposition in large-scale Bayesian inverse problems. (English) Zbl 1537.65038
An inverse problem of recovering the heat source coefficient in a fourth-order time-fractional pseudo-parabolic equation. (English) Zbl 07834842
Nonstationary iterated frozen Tikhonov regularization with uniformly convex penalty terms for solving inverse problems. (English) Zbl 07834055
Jacobi spectral projection methods for Fredholm integral equations of the first kind. (English) Zbl 1536.65171
A regularized projection immersed boundary method for smooth boundary forces. (English) Zbl 07807982
A fast continuous time approach for non-smooth convex optimization using Tikhonov regularization technique. (English) Zbl 1539.90062
On the strong convergence of continuous Newton-like inertial dynamics with Tikhonov regularization for monotone inclusions. (English) Zbl 07762435
Identification of source terms in wave equation with dynamic boundary conditions. (English) Zbl 1532.35522
Reviewer: Bijan Davvaz (Yazd)
Regularization of the generalized auto-convolution Volterra integral equation of the first kind. (English) Zbl 1531.65290
A numerical method for inverse Helmholtz problem based on approximate inverse of a matrix. (English) Zbl 07772639
Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy. (English) Zbl 1528.65065
Strong convergence of trajectories via inertial dynamics combining Hessian-driven damping and Tikhonov regularization for general convex minimizations. (English) Zbl 1530.37112
M-IHS: an accelerated randomized preconditioning method avoiding costly matrix decompositions. (English) Zbl 1525.65022
Fast multilevel iteration methods for solving nonlinear ill-posed problems. (English) Zbl 1526.65019
Finite dimensional realization of the FTR method with Raus and Gfrerer type discrepancy principle. (English) Zbl 07753867
Asymptotic method and transient terms in exact controls. (English) Zbl 1523.35269
Reviewer: Krishnan Balachandran (Coimbatore)
Iterative optimal solutions of linear matrix equations for hyperspectral and multispectral image fusing. (English) Zbl 1518.65042
Variable projection methods for separable nonlinear inverse problems with general-form Tikhonov regularization. (English) Zbl 07707676
Multi-projection methods for Fredholm integral equations of the first kind. (English) Zbl 1524.65975
A non-stationary iterative Tikhonov regularization method for simultaneous inversion in a time-fractional diffusion equation. (English) Zbl 1517.35267
Describing function method with pointwise balancing in time domain for periodic responses of non-smooth self-excited system. (English) Zbl 1526.70019
On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case. (English) Zbl 07690474
Reviewer: Robert Plato (Siegen)
Fractional Tikhonov regularization method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation. (English) Zbl 1516.35479
On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation. (English) Zbl 1512.35654
Some properties of orthogonal linear splines and their applications to inverse problems. (English) Zbl 1509.65008
A class of parameter choice strategies for the finite dimensional weighted Tikhonov regularization scheme. (English) Zbl 1524.65179
A regularization method based on level-sets for the problem of crack detection from electrical measurements. (English) Zbl 1509.35375
Theoretical and numerical aspects of a non-stationary preconditioned iterative method for linear discrete ill-posed problems. (English) Zbl 1502.65016
Iterative hybrid regularization for extremely noisy full models in single particle analysis. (English) Zbl 1505.65174
Identification of time-dependent potential in a fourth-order pseudo-hyperbolic equation from additional measurement. (English) Zbl 1531.65148
Construction of inhomogeneous velocity fields using expansions in terms of eigenfunctions of the Laplace operator. (English) Zbl 1523.76023
Stable recovery of a space-dependent force function in a one-dimensional wave equation via Ritz collocation method. (English) Zbl 1524.35349
On explicit expression of the solution to the regularizing by Tikhonov optimization problem in terms of the regularization parameter in the finite-dimensional case. (Russian. English summary) Zbl 1505.65316
Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition. (English) Zbl 1503.65211
An optimality property of an approximated solution computed by the Hessenberg method. (English) Zbl 1514.65038
MSC:
65F10
An inverse problem of fourth-order partial differential equation with nonlocal integral condition. (English) Zbl 1535.65224
Nonstationary iterated Tikhonov regularization: convergence analysis via Hölder stability. (English) Zbl 1503.35288
Discretization of parameter identification in PDEs using neural networks. (English) Zbl 1512.65197
Reviewer: Temur A. Jangveladze (Tbilisi)
Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model. (English) Zbl 1512.65200
Reviewer: Robert Plato (Siegen)
Numerical solutions of inverse time fractional coupled Burgers’ equations by the Chebyshev wavelet method. (English) Zbl 07597387
Legendre spectral projection methods for Fredholm integral equations of first kind. (English) Zbl 1502.65278
REGINN-IT method with general convex penalty terms for nonlinear inverse problems. (English) Zbl 1498.35614
Legendre spectral multi-projection methods for Fredholm integral equations of the first kind. (English) Zbl 1495.65244
Gradient flow structure and convergence analysis of the ensemble Kalman inversion for nonlinear forward models. (English) Zbl 1507.65126
Reviewer: Hang Lau (Montréal)
A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data. (English) Zbl 1490.65183
Convergence rates for the reaction coefficient and the initial temperature identification problems. (English) Zbl 1494.80006
Reviewer: Alain Brillard (Riedisheim)
A fast multilevel iteration method for solving linear ill-posed integral equations. (English) Zbl 1503.47015
Direct implementation of Tikhonov regularization for the first kind integral equation. (English) Zbl 1499.65749
An inverse source problem for pseudo-parabolic equation with Caputo derivative. (English) Zbl 1490.35542
A Tikhonov regularization method for solving a backward time-space fractional diffusion problem. (English) Zbl 1490.35535
General variational inequalities: existence of solutions, Tikhonov-type regularization, and well-posedness. (English) Zbl 1489.90199
Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation. (English) Zbl 1487.65144
The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure. (English) Zbl 07511593
An inverse problem for investigating the time-dependent coefficient in a higher-order equation. (English) Zbl 1499.65470
Identification of time-varying source term in time-fractional diffusion equations. (English) Zbl 1483.35342
Tensorial conditional gradient method for solving multidimensional ill-posed problems. (English) Zbl 1484.65074
A method of fundamental solutions for heat and wave propagation from lateral Cauchy data. (English) Zbl 07456983
MSC:
65Mxx
Conforming and nonconforming finite element methods for biharmonic inverse source problem. (English) Zbl 1493.65181
Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. (English) Zbl 1481.65060
Heuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional space. (English) Zbl 1473.65066
Tikhonov regularization method of an inverse space-dependent source problem for a time-space fractional diffusion equation. (English) Zbl 07907282
Simultaneous inversion of two initial values for a time-fractional diffusion-wave equation. (English) Zbl 1535.65175
On regularization of a source identification problem in a parabolic PDE and its finite dimensional analysis. (English) Zbl 1499.35719
Tikhonov-type regularization method for a sideways problem of the time-fractional diffusion equation. (English) Zbl 1484.65199
The estimation of approximation error using inverse problem and a set of numerical solutions. (English) Zbl 07484761
Application of Tikhonov regularization to reconstruct past climate record from borehole temperature. (English) Zbl 07484752
Determination of a time-dependent potential in the higher-order pseudo-hyperbolic problem. (English) Zbl 07484745
Active manipulation of Helmholtz scalar fields in an ocean of two homogeneous layers of constant depth. (English) Zbl 07484722
Inverse problem techniques for multiple crack detection in 2D elastic continua based on extended finite element concepts. (English) Zbl 07480109
Function estimation and regularization in the SIRD model applied to the COVID-19 pandemics. (English) Zbl 07480103
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