Found 30 Documents (Results 1–30)
Learning weakly convex regularizers for convergent image-reconstruction algorithms. (English) Zbl 07851426
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
Linear inverse problems with Hessian-Schatten total variation. (English) Zbl 1536.46060
Reviewer: Constantin Niculescu (Craiova)
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
Identifying a space-dependent source term in distributed order time-fractional diffusion equations. (English) Zbl 1538.65471
Application of fractional derivatives for obtaining new Tikhonov regularization matrices. (English) Zbl 1509.65032
Fast solution method and simulation for the 2D time-space fractional Black-Scholes equation governing European two-asset option pricing. (English) Zbl 1507.91239
On a problem for the nonlinear diffusion equation with conformable time derivative. (English) Zbl 1500.35291
The Levenberg-Marquardt regularization for the backward heat equation with fractional derivative. (English) Zbl 07556373
Optimal solutions for singular linear systems of Caputo fractional differential equations. (English) Zbl 1478.34007
On convergence of a structure preserving difference scheme for two-dimensional space-fractional nonlinear Schrödinger equation and its fast implementation. (English) Zbl 1524.65352
Wavelet regularization strategy for the fractional inverse diffusion problem. (English) Zbl 1486.65152
Iterative regularization method for an abstract ill-posed generalized elliptic equation. (English) Zbl 1469.35239
Singular algebraic equations with empirical data. arXiv:2102.09496
Preprint, arXiv:2102.09496 [math.NA] (2021).
Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method. (English) Zbl 1486.65055
Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain. (English) Zbl 1482.35269
On the singular value decomposition of \(n\)-fold integration operators. (English) Zbl 1512.47020
Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 237-256 (2020).
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data. (English) Zbl 1437.65124
On fractional asymptotical regularization of linear ill-posed problems in Hilbert spaces. (English) Zbl 1478.65059
Local generalizations of derivatives. arXiv:1909.02728
Preprint, arXiv:1909.02728 [math.CA] (2019).
A stable numerical scheme for a time fractional inverse parabolic equation. (English) Zbl 1398.65239
The jump set under geometric regularisation. II: Higher-order approaches. (English) Zbl 1373.49055
Reviewer: Sorin-Mihai Grad (Chemnitz)
On the conditions for existence and continuity of fractional velocity. arXiv:1605.07670
Preprint, arXiv:1605.07670 [math.CA] (2016).
A Lavrent’ev-type approach to the on-line computation of Caputo fractional derivatives. (English) Zbl 1142.26004
One-parameter groups of regular quasimultipliers. (English) Zbl 1104.47041
Reviewer: Stefan G. Samko (Faro)
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