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Carlo Garoni
Carlo Garoni
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Generalized Locally Toeplitz Sequences: Theory and Applications (Volume I)
C Garoni, S Serra-Capizzano
Springer, 2017
1622017
Robust and optimal multi-iterative techniques for IgA Galerkin linear systems
M Donatelli, C Garoni, C Manni, S Serra-Capizzano, H Speleers
Computer Methods in Applied Mechanics and Engineering 284, 230-264, 2015
1052015
Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis
M Donatelli, C Garoni, C Manni, S Serra-Capizzano, H Speleers
SIAM Journal on Numerical Analysis 55 (1), 31-62, 2017
872017
On the spectrum of stiffness matrices arising from isogeometric analysis
C Garoni, C Manni, F Pelosi, S Serra-Capizzano, H Speleers
Numerische Mathematik 127 (4), 751-799, 2014
772014
Robust and optimal multi-iterative techniques for IgA collocation linear systems
M Donatelli, C Garoni, C Manni, S Serra-Capizzano, H Speleers
Computer Methods in Applied Mechanics and Engineering 284, 1120-1146, 2015
612015
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods
M Donatelli, C Garoni, C Manni, S Serra-Capizzano, H Speleers
Mathematics of Computation 85 (300), 1639-1680, 2016
512016
Spectral Analysis and Spectral Symbol of -variate Lagrangian FEM Stiffness Matrices
C Garoni, S Serra-Capizzano, D Sesana
SIAM Journal on Matrix Analysis and Applications 36 (3), 1100-1128, 2015
512015
Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods
C Garoni, C Manni, S Serra-Capizzano, D Sesana, H Speleers
Mathematics of Computation 86 (305), 1343-1373, 2017
492017
Are the eigenvalues of banded symmetric Toeplitz matrices known in almost closed form?
SE Ekström, C Garoni, S Serra-Capizzano
Experimental Mathematics 27 (4), 478-487, 2018
362018
Block generalized locally Toeplitz sequences: from the theory to the applications
C Garoni, M Mazza, S Serra-Capizzano
Axioms 7 (3), 49, 2018
332018
Symbol-based analysis of finite element and isogeometric B-spline discretizations of eigenvalue problems: Exposition and review
C Garoni, H Speleers, SE Ekström, A Reali, S Serra-Capizzano, ...
Archives of Computational Methods in Engineering 26 (5), 1639-1690, 2019
302019
Lusin theorem, GLT sequences and matrix computations: an application to the spectral analysis of PDE discretization matrices
C Garoni, C Manni, S Serra-Capizzano, D Sesana, H Speleers
Journal of Mathematical Analysis and Applications 446 (1), 365-382, 2017
302017
Spectral and convergence analysis of the Discrete ALIF method
A Cicone, C Garoni, S Serra-Capizzano
Linear Algebra and its Applications 580, 62-95, 2019
272019
Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey
A Böttcher, C Garoni, S Serra-Capizzano
Sbornik: Mathematics 208 (11), 1602, 2017
252017
Spectral distribution of PDE discretization matrices from isogeometric analysis: the case of coefficients and non-regular geometry
C Garoni
Journal of Spectral Theory 8 (1), 297-313, 2018
232018
A general tool for determining the asymptotic spectral distribution of Hermitian matrix-sequences
C Garoni, S Serra-Capizzano, P Vassalos
Oper. Matrices 9 (3), 549-561, 2015
232015
Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol
M Donatelli, C Garoni, M Mazza, S Serra-Capizzano, D Sesana
Applied Mathematics and Computation 245, 158-173, 2014
222014
Are the eigenvalues of the B‐spline isogeometric analysis approximation of Δu=λu known in almost closed form?
SE Ekström, I Furci, C Garoni, C Manni, S Serra‐Capizzano, H Speleers
Numerical Linear Algebra with Applications 25 (5), e2198, 2018
212018
The theory of generalized locally Toeplitz sequences: a review, an extension, and a few representative applications
C Garoni, S Serra-Capizzano
Large truncated Toeplitz matrices, Toeplitz operators, and related topics …, 2017
212017
Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case
G Barbarino, C Garoni, S Serra-Capizzano
Verlag der Österreichischen Akademie der Wissenschaften, 2020
202020
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