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Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 05/2017, Volume 86, Issue 305, pp. 1343 - 1373
A linear full elliptic second-order Partial Differential Equation (PDE), defined on a d-dimensional domain \Omega , is approximated by the isogeometric... 
Isogeometric analysis | Galerkin method | Spectral distribution | Symbol | B-splines | symbol | MATHEMATICS, APPLIED | COLLOCATION LINEAR-SYSTEMS | ROBUST | STIFFNESS MATRICES | LOCALLY TOEPLITZ SEQUENCES | MULTI-ITERATIVE TECHNIQUES | isogeometric analysis
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 07/2016, Volume 85, Issue 3, pp. 1639 - 1680
We consider a linear full elliptic second order partial differential equation in a d-dimensional domain, d >= 1, approximated by isogeometric collocation... 
Isogeometric analysis | Spectral distribution | Collocation method | Symbol | B-splines | collocation method | LINEAR-SYSTEMS | symbol | MATHEMATICS, APPLIED | ROBUST | CONVERGENCE | LOCALLY TOEPLITZ SEQUENCES | MULTI-ITERATIVE TECHNIQUES | isogeometric analysis
Journal Article
PAMM, ISSN 1617-7061, 10/2015, Volume 15, Issue 1, pp. 581 - 582
..., Alessandro Buccini, Marco Donatelli and Stefano Serra‐Capizzano. Iterated fractional Tikhonov regularization. Inverse Problems 31 (5) (2015).... 
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 2/2018, Volume 74, Issue 2, pp. 1034 - 1059
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2016, Volume 309, pp. 74 - 105
We consider large linear systems of algebraic equations arising from the Finite Element approximation of coupled partial differential equations. As case study... 
Coupled systems of PDEs | GLT sequence | Schur complement | Toeplitz matrix | Joint eigenvalue distribution | DEFORMATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | ROBUST | MATRICES | CONVERGENCE | SYSTEMS | MULTI-ITERATIVE TECHNIQUES | Case studies | Analysis | Algebra | Mayas | Differential equations
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 2006, Volume 419, Issue 1, pp. 180 - 233
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2015, Volume 284, pp. 230 - 264
Journal Article
SIAM journal on numerical analysis, ISSN 1095-7170, 2017, Volume 55, Issue 1, pp. 31 - 62
We consider the stiffness matrices arising from the Galerkin B-spline isogeometric analysis discretization of classical elliptic problems. By exploiting their... 
Isogeometric analysis | Multigrid methods | Toeplitz matrices | Preconditioning | B-splines | multigrid methods | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | OPTIMAL CONVERGENCE | FINITE-ELEMENTS | SEQUENCES | preconditioning | PRECONDITIONERS | STIFFNESS MATRICES | SPECTRAL-ANALYSIS | ITERATIVE TECHNIQUES | FOURIER-ANALYSIS | isogeometric analysis
Journal Article
BIT. Numerical mathematics, ISSN 1572-9125, 2018, Volume 58, Issue 4, pp. 937 - 968
... Toeplitz matrices Sven-Erik Ekström 1 · Isabella Furci 2 · Stefano Serra-Capizzano 1,2 Received: 9 March 2018 / Accepted: 21 June 2018 / Published online: 3 July 2018... 
MSC 65B05 | Computational Mathematics and Numerical Analysis | MSC 65D05 | Numeric Computing | Mathematics | Asymptotic eigenvalue expansion | MSC 65F15 | Extrapolation | Polynomial interpolation | Eigenvalues | Mathematics, general | Block matrices | MSC 15B05 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | Algorithms
Journal Article
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, ISSN 1537-9582, 05/2019, Volume 35, pp. 204 - 222
The theory of block generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the spectral distribution of block-structured matrices... 
MATHEMATICS | Block generalized locally Toeplitz sequences | Matrix functions | APPROXIMATIONS | Differential eigenvalue problems | SINGULAR-VALUES | ISOGEOMETRIC ANALYSIS | Higher-order isogeometric Galerkin method | B-splines
Journal Article
SIAM journal on numerical analysis, ISSN 1095-7170, 2007, Volume 45, Issue 2, pp. 746 - 769
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2015, Volume 284, pp. 1120 - 1146
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 2019, Volume 579, pp. 32 - 50
The singular value and spectral distribution of Toeplitz matrix sequences with Lebesgue integrable generating functions is well studied. Early results were... 
Toeplitz matrices | Circulant preconditioners | Hankel matrices | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | SINGULAR-VALUES
Journal Article
Calcolo, ISSN 0008-0624, 2014, Volume 51, Issue 4, pp. 639 - 659
  (ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) A matrix ... of size ... is called ...-circulant if ..., while a matrix ... is... 
Multigrid methods | Circulants | Toeplitz | G-Circulants | Spectral distributions | Hankel | g-Toeplitz
Journal Article
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