Výsledky vyhledávání - Numerical solutions of ill-posed problems in abstract spaces*

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

Autoři: Laura Dykes Mykhailo Kuian Thomas Mach a další

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

Témata: 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

Popis souboru: application/xml; application/pdf

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

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

Zdroj: Computational and Applied Mathematics. 44

Témata: 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

Popis souboru: application/xml

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

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

Autoři: Aimee Maurais Terrence Alsup Benjamin Peherstorfer a další

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2307.12438

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

Autoři: Selmani Wissame Boussetila Nadjib Kirane Mokhtar a další

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://doaj.org/article/ca315cf7326b4cb1b3ed9bdf27da55ed

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

Autoři: Hanke, Martin

Zdroj: Numerical Algorithms. 11:203-213

Témata: 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

Popis souboru: application/xml

Subspace diffusion posterior sampling for travel-time tomography

Autoři: Xiang Cao Xiaoqun Zhang

Zdroj: Inverse Problems. 41:055010

Témata: 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)

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Peter Mathé

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

Témata: 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

Popis souboru: application/xml

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

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

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

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

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

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

Témata: 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

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: 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

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

Autoři: Elena Resmerita

Zdroj: Inverse Problems. 21:1303-1314

Témata: 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

Popis souboru: application/xml

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

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

Autoři: Gang Bao Jun Liu

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Masaru Ikehata Samuli Siltanen

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

Autoři: Sergei V. Pereverzev Peter Mathé

Zdroj: Inverse Problems. 19:789-803

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Carl Lederman David Bilyeu

Zdroj: Numerical Methods for Partial Differential Equations. 40

Témata: 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

Popis souboru: application/xml

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

Autoři: Martin Hanke Harald Frankenberger

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

On multidimensional ill-posed problems with discontinuous solutions

Autoři: A. S. Leonov

Zdroj: Siberian Mathematical Journal. 39:63-73

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/BF02732361

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

Autoři: Alexander S. Leonov Anatoly G. Yagola

Zdroj: Inverse Problems. 14:1539-1550

Témata: 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

Popis souboru: application/xml

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

Recovering discrete and continuous parts of the solution of linear ill-posed problems by Tikhonov regularization

Autoři: A. Seidel Heinz W. Engl

Zdroj: jiip. 7:165-184

Témata: Other nonlinear integral equations, ill-posed problems, Numerical solutions of ill-posed problems in abstract spaces, regularization, Numerical solutions to equations with nonlinear operators, Tikhonov regularization, Numerical methods for integral equations, numerical results, 0101 mathematics, 01 natural sciences, Numerical methods for ill-posed problems for integral equations, first kind integral equations

Popis souboru: application/xml

Přístupová URL adresa: https://www.degruyter.com/view/j/jiip.1999.7.issue-2/jiip.1999.7.2.165/jiip.1999.7.2.165.xml

Convergence rates of iterated Tikhonov regularized solutions of nonlinear III ? posed problems: Convergence rates of iterated Tikhonov regularized solutions of nonlinear ill-posed problems

Autoři: Scherzer, O.

Zdroj: Numerische Mathematik. 66:259-279

Témata: numerical examples, parameter identification, convergence rate, 510.mathematics, Numerical solutions of ill-posed problems in abstract spaces, regularization, Iterative procedures involving nonlinear operators, inverse problems, Numerical solutions to equations with nonlinear operators, nonlinear ill-posed problems, 0101 mathematics, 01 natural sciences, Article, iterated Tikhonov regularization

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://zbmath.org/569184
https://doi.org/10.1007/bf01385697
https://link.springer.com/article/10.1007/BF01385697