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

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

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

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

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

Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems

Autoren: Hanke, Martin

Quelle: Numerical Algorithms. 11:203-213

Schlagwörter: ddc:510, compact operator equations, convergence, Numerical solutions of ill-posed problems in abstract spaces, regularization, modified Lommel polynomials, Tricomi-Carlitz polynomials, 01 natural sciences, Numerical solutions to equations with linear operators, conjugate gradient method, Christoffel functions, zeros of orthogonal polynomials, linear ill-posed problems, iterative methods, Brakhage's \(\nu\)-method, 0101 mathematics, Mathematics, Equations and inequalities involving linear operators, with vector unknowns

Dateibeschreibung: application/xml

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

Saturation of Regularization Methods for Linear Ill-Posed Problems in Hilbert Spaces: Saturation of regularization methods for linear ill-posed problems in Hilbert spaces

Autoren: Peter Mathé

Quelle: SIAM Journal on Numerical Analysis. 42:968-973

Schlagwörter: Linear operators and ill-posed problems, regularization, Numerical solutions of ill-posed problems in abstract spaces, regularization, convexity, Numerical solutions to equations with linear operators, saturation, linear ill-posed problems, qualification, 0101 mathematics, Hilbert scales, 01 natural sciences

Dateibeschreibung: application/xml

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

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

Direct solution of ill-posed boundary value problems by radial basis function collocation method

Autoren: Alexander H.-D. Cheng Jaime Joaquim da Silva Pereira Cabral

Quelle: International Journal for Numerical Methods in Engineering. 64:45-64

Schlagwörter: Cauchy problem, collocation method, Numerical solutions of ill-posed problems in abstract spaces, regularization, 0103 physical sciences, inverse problem, meshless method, Spectral, collocation and related methods for boundary value problems involving PDEs, ill-posed problem, 0101 mathematics, radial basis function, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2212463
https://doi.org/10.1002/nme.1362
http://onlinelibrary.wiley.com/doi/10.1002/nme.1362/abstract
https://ui.adsabs.harvard.edu/abs/2005IJNME..64...45C/abstract
https://onlinelibrary.wiley.com/doi/10.1002/nme.1362/abstract

ON THE SOLUTION OF ILL-POSED PROBLEMS BY PROJECTION METHODS WITH A POSTERIORI CHOICE OF THE DISCRETIZATION LEVEL: On the solution of ill-posed problems by projection methods with a posteriori choice of the discretization level

Autoren: Hamarik, U. Avi, E. Ganina, A.

Quelle: Mathematical Modelling and Analysis, Vol 7, Iss 2 (2002)
Mathematical Modelling and Analysis; Vol 7 No 2 (2002); 241-252

Schlagwörter: Hilbert spaces, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, numerical results, 01 natural sciences, a posteriori rule, minimum-norm solution, monotone convergence, Numerical solutions to equations with linear operators, QA1-939, a posteriori error bound, projection methods, linear ill-posed problems, 0101 mathematics, ill‐posed problems, Mathematics

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://journals.vgtu.lt/index.php/MMA/article/download/9848/8571
https://zbmath.org/2157156
https://doaj.org/article/62ddcd29202d4790b3784a15d39362f1
https://www.tandfonline.com/doi/abs/10.1080/13926292.2002.9637196
https://journals.vilniustech.lt/index.php/MMA/article/view/9848

Numerical Solution of Inverse Scattering Problems with Multi-experimental Limited Aperture Data: Numerical solution of inverse scattering problems with multi-experimental limited aperture data

Autoren: Gang Bao Jun Liu

Quelle: SIAM Journal on Scientific Computing. 25:1102-1117

Schlagwörter: Hilbert spaces, smooth nonlinear operator, Numerical solutions to equations with nonlinear operators, Nonlinear ill-posed problems, Numerical solution to inverse problems in abstract spaces, global minimum, multiple data, 01 natural sciences, global convergence, inverse medium problems, Inverse problems (including inverse scattering) in optics and electromagnetic theory, homotopy continuation, limited aperture, 0101 mathematics, recursive linearization

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2030260
https://doi.org/10.1137/s1064827502409705

Numerical Solution of the Cauchy Problem for the Stationary Schrödinger Equation Using Faddeev's Green Function: Numerical solution of the Cauchy problem for the stationary Schrödinger equation using Faddeev's Green function

Autoren: Masaru Ikehata Samuli Siltanen

Quelle: SIAM Journal on Applied Mathematics. 64:1907-1932

Schlagwörter: Cauchy problem, Inverse problems for PDEs, Faddeev's Green function, numerical examples, algorithm, Numerical solutions of ill-posed problems in abstract spaces, regularization, Numerical methods for inverse problems for boundary value problems involving PDEs, electrocardiography, exponentially growing solution, 01 natural sciences, stationary Schrödinger equation, Schrödinger operator, Schrödinger equation, Boundary value problems for second-order elliptic equations, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2121990
https://doi.org/10.1137/s0036139903424916
https://epubs.siam.org/doi/pdf/10.1137/S0036139903424916
https://doi.org/10.1137/S0036139903424916
https://dialnet.unirioja.es/servlet/articulo?codigo=1046351
https://dblp.uni-trier.de/db/journals/siamam/siamam64.html#IkehataS04

kernel polynomials for the solution of indefinite and ill posed problems: Kernel polynomials for the solution of indefinite and ill-posed problems

Autoren: Martin Hanke Harald Frankenberger

Quelle: Numerical Algorithms. 25(1):197-212

Schlagwörter: ill-posed problems, regularization, convergence, Numerical solutions of ill-posed problems in abstract spaces, Linear operators and ill-posed problems, regularization, Numerical solutions to equations with linear operators, \(\nu\)-methods, Hilbert space, kernel polynomials, indefinite problems, semiiterative methods, linear operator equation

Dateibeschreibung: application/xml

Zugangs-URL: https://ui.adsabs.harvard.edu/abs/2000NuAlg..25..197F/abstract
https://link.springer.com/article/10.1023/A:1016641914524
https://dblp.uni-trier.de/db/journals/na/na25.html#FrankenbergerH00

Geometry of linear ill-posed problems in variable Hilbert scales: Geometry of linear ill-posed problems in variable Hilbert spaces

Autoren: Sergei V. Pereverzev Peter Mathé

Quelle: Inverse Problems. 19:789-803

Schlagwörter: variable Hilbert scales, regularization, Numerical solutions of ill-posed problems in abstract spaces, Linear operators and ill-posed problems, regularization, Numerical solutions to equations with linear operators, optimal approximation, 0101 mathematics, linear ill-posed problem, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://iopscience.iop.org/article/10.1088/0266-5611/19/3/319
http://iopscience.iop.org/article/10.1088/0266-5611/19/3/319/pdf
https://ui.adsabs.harvard.edu/abs/2003InvPr..19..789M/abstract
http://wias-berlin.de/people/mathe/ps-files/varhs-gen.pdf

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

On multidimensional ill-posed problems with discontinuous solutions

Autoren: A. S. Leonov

Quelle: Siberian Mathematical Journal. 39:63-73

Schlagwörter: Inverse problems for PDEs, Numerical solutions of ill-posed problems in abstract spaces, regularization, Algorithms for approximation of functions, 0103 physical sciences, Nonlinear differential equations in abstract spaces, pseudosolution, 0101 mathematics, regularization method, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/BF02732361

A Sobolev space analysis of linear regularization methods for ill-posed problems

Autoren: A.K. Louis P. Jonas

Quelle: jiip. 9:59-74

Schlagwörter: Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, smoothing, Tikhonov-Phillips regularization, 01 natural sciences, Numerical methods for ill-posed problems for integral equations, generalized inverse, regularization methods, Numerical solutions to equations with linear operators, linear ill-posed problems, computerized tomography, 0101 mathematics, Numerical methods for integral transforms, Sobolev scales, Radon transform

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1618301
https://doi.org/10.1515/jiip.2001.9.1.59
https://www.degruyter.com/view/j/jiip.2001.9.issue-1/jiip.2001.9.1.59/jiip.2001.9.1.59.xml

Special regularizing methods for ill-posed problems with sourcewise represented solutions

Autoren: Alexander S. Leonov Anatoly G. Yagola

Quelle: Inverse Problems. 14:1539-1550

Schlagwörter: Hilbert spaces, 0209 industrial biotechnology, Numerical solutions of ill-posed problems in abstract spaces, regularization, minimum norm solution, Tikhonov regularization, discrepancy principle, 02 engineering and technology, 01 natural sciences, parameter choice strategy, error estimates, Numerical solutions to equations with linear operators, linear ill-posed problems, 0101 mathematics, Equations and inequalities involving linear operators, with vector unknowns, quasisolution method

Dateibeschreibung: application/xml

Zugangs-URL: http://iopscience.iop.org/article/10.1088/0266-5611/14/6/012
http://ui.adsabs.harvard.edu/abs/1998InvPr..14.1539L/abstract