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1Academic Journal
Source: SIAM Journal on Mathematics of Data Science. 7:189-223
Subject Terms: 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
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Access URL: http://arxiv.org/abs/2307.12438
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2Academic Journal
Authors: Wang, Z. H., Shang, K., Wang, G.
Source: Applied Mathematical Modelling. 128:470-491
Subject Terms: Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, transcranial magneto-acoustic-electrical stimulation, Numerical solutions to equations with linear operators, numerical methods, Rayleigh integral, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, magneto-acoustic coupling, smoothed finite element method
Linked Full TextFile Description: application/xml
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3Academic Journal
Authors: Laura Dykes, Mykhailo Kuian, Thomas Mach, Silvia Noschese, Lothar Reichel
Source: Journal of Computational and Applied Mathematics. 467:116621
Subject Terms: 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
Linked Full TextFile Description: application/xml; application/pdf
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4Academic Journal
Authors: Blanes Zamora, Sergio, Casas, F., González, C., Thalhammer, M.
Contributors: Departamento de Matemática Aplicada, Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial, Instituto Universitario de Matemática Multidisciplinar, Generalitat Valenciana, Agencia Estatal de Investigación, Repositorio Institucional de la Universitat Politècnica de València Riunet
Source: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)Subject Terms: Abstract parabolic equations, Fourier spectral methods, 65J10, 65L04, 65M12, convergence, Schrodinger equations, Linear evolution equations, Efficiency, Schrödinger equations, stability, linear evolution equations, Linear differential equations in abstract spaces, efficiency, Numerical solutions to equations with linear operators, Numerical methods for stiff equations, Operator splitting methods, Parabolic problems, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Convergence, MATEMATICA APLICADA, parabolic problems, operator splitting methods, Stability, Physics - Computational Physics
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5Academic Journal
Authors: Zelalem Arega Worku, Jason E. Hicken, David W. Zingg
Source: Journal of Computational Physics. 527:113796
Subject Terms: tensor-product operator, summation-by-parts, Numerical solutions to equations with linear operators, high-order method, Multilinear algebra, tensor calculus, unstructured mesh, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, simplex
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Linked Full TextAccess URL: http://arxiv.org/abs/2408.10494
https://zbmath.org/8021096
https://doi.org/10.1016/j.jcp.2025.113796 -
6Academic Journal
Authors: Podvigina, Olga
Source: Computer Physics Communications. 309:109482
Subject Terms: Numerical solutions to equations with linear operators, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Galerkin, boundary condition
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Linked Full TextAccess URL: http://arxiv.org/abs/2312.15337
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7Academic Journal
Authors: Tomoya Kemmochi, Norikazu Saito
Source: Numerische Mathematik. 138:905-937
Subject Terms: regularity, Smoothness and regularity of solutions to PDEs, finite element method, parabolic equations, Numerical Analysis (math.NA), semilinear heat equations, Error bounds for initial value and initial-boundary value problems involving PDEs, Numerical solutions to equations with linear operators, 35K91, 65M60, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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Linked Full TextAccess URL: http://arxiv.org/pdf/1602.06864
http://arxiv.org/abs/1602.06864
https://zbmath.org/6858661
https://doi.org/10.1007/s00211-017-0929-z
https://dblp.uni-trier.de/db/journals/nm/nm138.html#KemmochiS18
https://link.springer.com/article/10.1007/s00211-017-0929-z -
8Academic Journal
Authors: Diana Alina Bistrian, Ionel Michael Navon
Source: International Journal for Numerical Methods in Engineering. 112:3-25
Subject Terms: 65P99, 76B75, nonintrusive reduced order modelling, randomized SVD, Numerical solutions to equations with linear operators, Navier-Stokes equations for incompressible viscous fluids, 0103 physical sciences, FOS: Mathematics, randomized dynamic mode decomposition, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, 01 natural sciences
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Linked Full TextAccess URL: http://arxiv.org/pdf/1611.04884
http://arxiv.org/abs/1611.04884
https://zbmath.org/7867129
https://doi.org/10.1002/nme.5499
https://ui.adsabs.harvard.edu/abs/2017IJNME.112....3B/abstract
https://onlinelibrary.wiley.com/doi/10.1002/nme.5499 -
9Academic Journal
Authors: Rieder, A.
Source: Inverse Problems, 21 (2), 453-471
Subject Terms: 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
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Access 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 -
10Academic Journal
Authors: Cohen, Albert, Hoffmann, Marc, Reiß, Markus
Source: SIAM Journal on Numerical Analysis. 42:1479-1501
Subject Terms: nonlinear methods, ddc:330, 330 Wirtschaft, Numerical solution to inverse problems in abstract spaces, Numerical methods for integral equations, wavelets, 01 natural sciences, Galerkin methods, numerical example, Numerical solutions to equations with linear operators, Besov spaces, Numerical methods for wavelets, statistical inverse problems, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), 0101 mathematics, minimax estimation, singular integral equation, Equations and inequalities involving linear operators, with vector unknowns
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11Academic Journal
Authors: Aurél Galántai
Source: Journal of Mathematical Analysis and Applications. 310:30-44
Subject Terms: alternating projection method, orthogonal projections, Numerical solutions to equations with linear operators, Applied Mathematics, Numerical linear algebra, Rate of convergence, degree of approximation, 0101 mathematics, 01 natural sciences, Analysis, rate of convergence
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Linked Full TextAccess URL: https://zbmath.org/2207251
https://doi.org/10.1016/j.jmaa.2004.12.050
https://core.ac.uk/display/81979253
https://www.sciencedirect.com/science/article/pii/S0022247X04010716
https://ui.adsabs.harvard.edu/abs/2005JMAA..310...30G/abstract -
12Academic Journal
Authors: Alexander G. Ramm
Source: Journal of Mathematical Analysis and Applications. 310:342-345
Subject Terms: 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
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Linked Full TextAccess 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 -
13Academic Journal
Authors: Herbert Egger, Andreas Neubauer
Source: Numerische Mathematik. 101:643-662
Subject Terms: 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
Linked Full TextFile Description: application/xml
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14Academic Journal
Authors: S. G. Solodky
Source: Inverse Problems. 21:1473-1485
Subject Terms: 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
File Description: application/xml
Access 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 -
15Academic Journal
Authors: Elena Resmerita
Source: Inverse Problems. 21:1303-1314
Subject Terms: 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
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Access URL: https://ui.adsabs.harvard.edu/abs/2005InvPr..21.1303R/abstract
https://iopscience.iop.org/article/10.1088/0266-5611/21/4/007/meta -
16Academic Journal
Authors: Becker, Roland, Vexler, Boris
Contributors: Becker, Roland
Source: Journal of Computational Physics. 206:95-110
Subject Terms: Hilbert spaces, Variational methods for second-order elliptic equations, error estimator, Error bounds for boundary value problems involving PDEs, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, least squares, discretizaton errors, sensitivity analysis, Numerical solutions to equations with linear operators, Parameter estimation, adaptive mesh refinement, 0101 mathematics, parameter estimation, Galerkin method, measurement errors, Equations and inequalities involving linear operators, with vector unknowns
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Linked Full TextAccess URL: http://www.ricam.oeaw.ac.at/publications/reports/04/rep04-15.pdf
https://zbmath.org/2175561
https://doi.org/10.1016/j.jcp.2004.12.018
https://hal.science/hal-00158887v1
https://hal.inria.fr/hal-00158887
https://hal.archives-ouvertes.fr/hal-00158887/document
https://hal.archives-ouvertes.fr/hal-00158887
https://memsic.ccsd.cnrs.fr/UNIV-PAU/hal-00158887
http://www.ricam.oeaw.ac.at/publications/reports/04/rep04-15.pdf
http://www.sciencedirect.com/science/article/pii/S0021999104004954 -
17Academic Journal
Authors: Allaberen Ashyralyev, H. A. Yurtsever
Source: Applied Mathematics and Computation. 165:517-537
Subject Terms: nonlocal boundary value problem, PDEs of mixed type, Hilbert space, 01 natural sciences, hyperbolic-parabolic equation, Linear differential equations in abstract spaces, Error bounds for initial value and initial-boundary value problems involving PDEs, stability estimates, Numerical solutions to equations with linear operators, Finite difference methods for initial value and initial-boundary value problems involving PDEs, self-adjoint positive definite operator, mixed type boundary value problem, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, numerical experiments, second order of accuracy difference schemes
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Linked Full TextAccess URL: https://zbmath.org/2175470
https://doi.org/10.1016/j.amc.2004.04.033
https://www.sciencedirect.com/science/article/pii/S0096300304003996
https://dblp.uni-trier.de/db/journals/amc/amc165.html#AshyralyevY05 -
18Academic Journal
Authors: Freitag, Melina A, Hofmann, B
Source: 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
Subject Terms: 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
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Access 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 -
19Academic Journal
Authors: Bernd Hofmann, Masahiro Yamamoto
Source: Inverse Problems. 21:805-820
Subject Terms: 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
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Access URL: https://www.tu-chemnitz.de/mathematik/inverse_probleme/fulltext/inclusion.pdf
https://ui.adsabs.harvard.edu/abs/2005InvPr..21..805H/abstract -
20Academic Journal
Authors: Zbigniew Szkutnik
Source: Journal of Multivariate Analysis. 93:198-221
Subject Terms: Statistics and Probability, Numerical Analysis, Computational problems in statistics, Quasi-maximum likelihood estimators, Monte Carlo methods, Poisson process, Unfolding, Non-Markovian processes: estimation, 01 natural sciences, Numerical computation using splines, Asymptotic properties of nonparametric inference, Numerical solutions to equations with linear operators, B-spline sieves, Intensity function, Statistics, Probability and Uncertainty, 0101 mathematics, Nonparametric estimation, Discretization
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Linked Full TextAccess URL: https://zbmath.org/2132937
https://doi.org/10.1016/j.jmva.2004.01.008
https://core.ac.uk/display/81154539
https://dl.acm.org/doi/10.1016/j.jmva.2004.01.008
https://econpapers.repec.org/RePEc:eee:jmvana:v:93:y:2005:i:1:p:198-221
https://www.sciencedirect.com/science/article/pii/S0047259X0400020X
https://ideas.repec.org/a/eee/jmvana/v93y2005i1p198-221.html