Suchergebnisse - "Numerical solutions of ill-posed problems in abstract spaces"

Multifidelity Covariance Estimation via Regression on the Manifold of Symmetric Positive Definite Matrices: Multifidelity covariance estimation via regression on the manifold of symmetric positive definite matrices

Autoren: Aimee Maurais Terrence Alsup Benjamin Peherstorfer et al.

Quelle: SIAM Journal on Mathematics of Data Science. 7:189-223

Schlagwörter: FOS: Computer and information sciences, covariance estimation, Computer Science - Machine Learning, Numerical solutions of ill-posed problems in abstract spaces, regularization, Numerical solutions to equations with nonlinear operators, multifidelity methods, Numerical Analysis (math.NA), estimation on manifolds, Statistics - Computation, Machine Learning (cs.LG), Positive matrices and their generalizations, cones of matrices, Numerical solutions to equations with linear operators, Special polytopes (linear programming, centrally symmetric, etc.), General nonlinear regression, FOS: Mathematics, Mathematics - Numerical Analysis, Riemannian geometry, Mahalanobis distance, Statistics on manifolds, Computation (stat.CO), statistical coupling

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2307.12438

Numerical simulation of traveling waves in the FitzHugh-Nagumo system via equilibria of nonlocal equations

Autoren: C. E. Rubio-Mercedes Glauce Barbosa Verão

Quelle: Computational and Applied Mathematics. 44

Schlagwörter: FitzHugh-Nagumo system, traveling waves, Numerical solutions of ill-posed problems in abstract spaces, regularization, Reaction-diffusion equations, Numerical methods for partial differential equations, boundary value problems, nonlocal equations, numerical solutions, equilibrium

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8034217
https://doi.org/10.1007/s40314-025-03182-2

Solution of linear ill-posed operator equations by modified truncated singular value expansion

Autoren: Laura Dykes Mykhailo Kuian Thomas Mach et al.

Quelle: Journal of Computational and Applied Mathematics. 467:116621

Schlagwörter: regularization, truncated singular value expansion, Numerical solutions of ill-posed problems in abstract spaces, Linear operators and ill-posed problems, regularization, Numerical solutions to equations with linear operators, ill-posed problem, Chebfun

Dateibeschreibung: application/xml; application/pdf

Subspace diffusion posterior sampling for travel-time tomography

Autoren: Xiang Cao Xiaoqun Zhang

Quelle: Inverse Problems. 41:055010

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, nonlinear PDE-based inverse problems, Numerical solutions of ill-posed problems in abstract spaces, regularization, adjoint-state method, travel-time tomography, Numerical Analysis (math.NA), subspace diffusion generative models, score-based diffusion models, Mathematics - Analysis of PDEs, Numerical aspects of computer graphics, image analysis, and computational geometry, diffusion posterior sampling, FOS: Mathematics, Mathematics - Numerical Analysis, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2408.17333
https://zbmath.org/8036754
https://doi.org/10.1088/1361-6420/adcae2

Reducing the computational complexity of implicit schemes in the modeling of kinetic inelastic collisions in a partially ionized plasma

Autoren: Carl Lederman David Bilyeu

Quelle: Numerical Methods for Partial Differential Equations. 40

Schlagwörter: numerical partial differential equations, Numerical solutions of ill-posed problems in abstract spaces, regularization, plasma physics, Smoothness and regularity of solutions to PDEs, Numerical computation of solutions to systems of equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, Statistical mechanics of plasmas, multiscale modeling, 01 natural sciences, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Atomic physics, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

Norms in sinogram space and stability estimates for the Radon transform

Autoren: Stefan Kindermann Simon Hubmer

Quelle: Inverse Problems. 41:025008

Schlagwörter: Mathematics - Functional Analysis, inverse and ill-posed problems, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, stability estimates, FOS: Mathematics, Radon transform, total variation regularization, Functional Analysis (math.FA)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2403.07466

The modified quasi-boundary-value method for an ill-posed generalized elliptic problem

Autoren: Selmani Wissame Boussetila Nadjib Kirane Mokhtar et al.

Quelle: Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 32-36 (2024)

Schlagwörter: QA299.6-433, fractional elliptic equations, Linear operators and ill-posed problems, regularization, Numerical solutions of ill-posed problems in abstract spaces, regularization, Fractional ordinary differential equations, quasi-boundary-value method, ill-posed problems, 35r11, 35r30, Linear differential equations in abstract spaces, 35j25, 47a52, 35r25, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://doaj.org/article/ca315cf7326b4cb1b3ed9bdf27da55ed

Convergence of non-linear diagonal frame filtering for regularizing inverse problems

Autoren: Andrea Ebner Markus Haltmeier

Quelle: Inverse Problems. 40:055009

Schlagwörter: Signal theory (characterization, reconstruction, filtering, etc.), Linear operators and ill-posed problems, regularization, Numerical solutions of ill-posed problems in abstract spaces, regularization, Tikhonov regularization, Hilbert space, singular value decomposition, linear inverse problem, Numerical solution to inverse problems in abstract spaces, General harmonic expansions, frames, Numerical Analysis (math.NA), 01 natural sciences, Bregman distance, diagonal frame decomposition, FOS: Mathematics, plug-and-play regularization, Mathematics - Numerical Analysis, 0101 mathematics, non-linear frame-based filtering

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2308.15666

Runge–Kutta integrators yield optimal regularization schemes: Runge-Kutta integrators yield optimal regularization schemes

Autoren: Rieder, A.

Quelle: Inverse Problems, 21 (2), 453-471

Schlagwörter: ddc:510, numerical examples, convergence, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, Showalter's method, Tikhonov regularization, Hilbert space, asymptotic regularization, implicit Euler scheme, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Linear differential equations in abstract spaces, Numerical solutions to equations with linear operators, evolution equation, linear ill-posed problems, 0101 mathematics, Runge-Kutta integrators, order optimality, Mathematics

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://publikationen.bibliothek.kit.edu/1000011042/762671
https://zbmath.org/2174678
https://doi.org/10.1088/0266-5611/21/2/003
http://digbib.ubka.uni-karlsruhe.de/volltexte/documents/762671
http://ui.adsabs.harvard.edu/abs/2005InvPr..21..453R/abstract
https://iopscience.iop.org/article/10.1088/0266-5611/21/2/003
http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:swb:90-110850
https://publikationen.bibliothek.kit.edu/1000011085/772258
https://doi.org/10.5445/IR/1000011085
https://publikationen.bibliothek.kit.edu/1000011085
http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:swb:90-110428
https://doi.org/10.5445/IR/1000011042
https://publikationen.bibliothek.kit.edu/1000011042
https://publikationen.bibliothek.kit.edu/1000011042/762671

On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces

Autoren: M. M. Kokurin A. B. Bakushinskii M. Yu. Kokurin

Quelle: Computational Mathematics and Mathematical Physics. 52:411-426

Schlagwörter: Cauchy problem, convergence rate, Banach space, Iterative procedures involving nonlinear operators, Numerical solutions of ill-posed problems in abstract spaces, regularization, accuracy, Nonlinear ill-posed problems, regulating operator, 0101 mathematics, first-order linear differential equations, finite difference scheme, 01 natural sciences, ill-posed Cauchy problems

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1134/S0965542512030049
http://ui.adsabs.harvard.edu/abs/2012CMMPh..52..411B/abstract
https://rd.springer.com/article/10.1134/S0965542512030049
https://link.springer.com/content/pdf/10.1134/S0965542512030049.pdf

Nonlinear Kaczmarz algorithms and their convergence

Autoren: Wendi Bao Weiguo Li Qifeng Wang et al.

Quelle: Journal of Computational and Applied Mathematics. 399:113720

Schlagwörter: Numerical solutions of ill-posed problems in abstract spaces, regularization, Numerical computation of solutions to systems of equations, nonlinear system of equations, 0101 mathematics, randomized Kaczmarz algorithm, 01 natural sciences, local tangential cone condition, matrix-free

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7389255
https://doi.org/10.1016/j.cam.2021.113720
https://www.sciencedirect.com/science/article/pii/S0377042721003423
https://doi.org/10.1016/j.cam.2021.113720
http://doi.org/10.1016/j.cam.2021.113720

Dynamical systems method (DSM) for nonlinear equations in Banach spaces

Autoren: Alexander G. Ramm

Quelle: Communications in Nonlinear Science and Numerical Simulation. 11:306-310

Schlagwörter: ill-posed problems, regularization, Mathematics - Functional Analysis, Banach space, Numerical solutions of ill-posed problems in abstract spaces, Iterative procedures involving nonlinear operators, nonlinear operator equations, FOS: Mathematics, dynamical systems method, 0101 mathematics, 01 natural sciences, 47J05, 47J06, 47J25, Functional Analysis (math.FA)

Dateibeschreibung: application/xml

Zugangs-URL: http://www.math.ksu.edu/~ramm/papers/488.pdf
http://arxiv.org/abs/math/0410479
https://zbmath.org/2228683
https://doi.org/10.1016/j.cnsns.2004.12.004
http://ui.adsabs.harvard.edu/abs/2006CNSNS..11..306R/abstract
https://www.sciencedirect.com/science/article/pii/S100757040500002X
https://www.math.ksu.edu/~ramm/papers/488j.pdf
http://www.math.ksu.edu/~ramm/papers/488j.pdf

A new discrepancy principle

Autoren: Alexander G. Ramm

Quelle: Journal of Mathematical Analysis and Applications. 310:342-345

Schlagwörter: 47H15, 45G10,35B25, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, Applied Mathematics, discrepancy principle, Hilbert space, Numerical Analysis (math.NA), minimal-norm solution, 01 natural sciences, ill-posed problems, Numerical solutions to equations with linear operators, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/math/0408191
https://zbmath.org/2207275
https://doi.org/10.1016/j.jmaa.2005.01.062
https://core.ac.uk/display/21861235
https://arxiv.org/pdf/math/0408191
https://www.sciencedirect.com/science/article/pii/S0022247X05000910
https://www.math.ksu.edu/~ramm/papers/480j.pdf
http://www.math.ksu.edu/~ramm/papers/480j.pdf
http://ui.adsabs.harvard.edu/abs/2005JMAA..310..342R/abstract

Preconditioning Landweber iteration in Hilbert scales

Autoren: Herbert Egger Andreas Neubauer

Quelle: Numerische Mathematik. 101:643-662

Schlagwörter: Landweber iteration, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, preconditioning, Numerical solutions to equations with nonlinear operators, Numerical solutions to equations with linear operators, Nonlinear ill-posed problems, Numerical solution to inverse problems in abstract spaces, numerical results, 0101 mathematics, ill-posed inverse problems, Hilbert scales, 01 natural sciences

Dateibeschreibung: application/xml

On a quasi-optimal regularized projection method for solving operator equations of the first kind

Autoren: S. G. Solodky

Quelle: Inverse Problems. 21:1473-1485

Schlagwörter: Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, Hilbert space, discrepancy principle, ill-posed problem, Showalter method, 01 natural sciences, Numerical methods for ill-posed problems for integral equations, Tikhonov method, regularization methods, compact linear operator, Numerical solutions to equations with linear operators, optimal order of accuracy, 0101 mathematics, linear operator equation, regularized projection method algorithm

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2215125
https://doi.org/10.1088/0266-5611/21/4/017
https://ui.adsabs.harvard.edu/abs/2005InvPr..21.1473S/abstract
http://iopscience.iop.org/article/10.1088/0266-5611/21/4/017/pdf

Regularization of ill-posed problems in Banach spaces: convergence rates

Autoren: Elena Resmerita

Quelle: Inverse Problems. 21:1303-1314

Schlagwörter: ill-posed problems, regularization, linear bounded compact operator, convergence, Numerical solutions of ill-posed problems in abstract spaces, Linear operators and ill-posed problems, regularization, Numerical solutions to equations with linear operators, Hilbert space, 0101 mathematics, 01 natural sciences, Bregman distance, entropic regularization, total variation regularization

Dateibeschreibung: application/xml

Zugangs-URL: https://ui.adsabs.harvard.edu/abs/2005InvPr..21.1303R/abstract
https://iopscience.iop.org/article/10.1088/0266-5611/21/4/007/meta

Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems

Autoren: Freitag, Melina A Hofmann, B

Quelle: Freitag, M A & Hofmann, B 2005, 'Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems', Journal of Inverse and Ill-posed Problems, vol. 13, no. 2, pp. 123-148. https://doi.org/10.1515/1569394053978524

Schlagwörter: Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, inverse problems, Tikhonov regularization, name=Applied Mathematics, Numerical solution to inverse problems in abstract spaces, compact operator, ill-posed problem, multiplication operators, 01 natural sciences, Nemytskij operator, linear operator equations, Numerical solutions to equations with linear operators, 0101 mathematics

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://purehost.bath.ac.uk/ws/files/141101243/endversion.pdf
https://zbmath.org/2204565
https://doi.org/10.1515/1569394053978524
https://purehost.bath.ac.uk/ws/files/141101243/endversion.pdf
https://researchportal.bath.ac.uk/en/publications/analytical-and-numerical-studies-on-the-influence-of-multiplicati
https://core.ac.uk/display/2810776

On the use of fixed point iterations for the regularization of nonlinear ill-posed problems

Autoren: Ronny Ramlau

Quelle: Journal of Inverse and Ill-posed Problems. 13:175-200

Schlagwörter: nonlinear ill-posed operator equation, Numerical solutions of ill-posed problems in abstract spaces, regularization, Numerical solutions to equations with nonlinear operators, 4. Education, error bound, Hilbert space, Nonlinear ill-posed problems, two-stage iterative process, 0101 mathematics, 16. Peace & justice, 01 natural sciences, 0105 earth and related environmental sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2204567
https://www.degruyter.com/view/journals/jiip/13/2/article-p175.xml

Convergence and regularity of trust region methods for nonlinear ill-posed inverse problems

Autoren: Ya-xiang Yuan Yanfei Wang

Quelle: Inverse Problems. 21:821-838

Schlagwörter: Other nonlinear integral equations, Hilbert spaces, Numerical optimization and variational techniques, convergence, Numerical solutions of ill-posed problems in abstract spaces, regularization, Numerical solutions to equations with nonlinear operators, stopping rule, Nonlinear ill-posed problems, inverse gravimetry, nonlinear ill-posed problems, 01 natural sciences, Numerical methods for ill-posed problems for integral equations, Regularization, trust region method, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: http://iopscience.iop.org/article/10.1088/0266-5611/21/3/003/pdf
https://iopscience.iop.org/article/10.1088/0266-5611/21/3/003/meta
http://sourcedb.igg.cas.cn/cn/zjrck/200907/W020100601586135546716.pdf
https://iopscience.iop.org/article/10.1088/0266-5611/21/3/003/pdf
http://ui.adsabs.harvard.edu/abs/2005InvPr..21..821W/abstract

Convergence rates for Tikhonov regularization based on range inclusions

Autoren: Bernd Hofmann Masahiro Yamamoto

Quelle: Inverse Problems. 21:805-820

Schlagwörter: Hilbert spaces, Inverse problems for PDEs, Tikhonov's regularization method, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, inverse problems, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, Numerical methods for integral equations, 01 natural sciences, Abel integral equation, Numerical solutions to equations with linear operators, linear ill-posed problems, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://www.tu-chemnitz.de/mathematik/inverse_probleme/fulltext/inclusion.pdf
https://ui.adsabs.harvard.edu/abs/2005InvPr..21..805H/abstract