Search Results - "Donatelli, Marco"

Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations by Moghaderi, Hamid, Dehghan, Mehdi, Donatelli, Marco, Mazza, Mariarosa

“…Fractional diffusion equations (FDEs) are a mathematical tool used for describing some special diffusion phenomena arising in many different applications like…”
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Spectral analysis and structure preserving preconditioners for fractional diffusion equations by Donatelli, Marco, Mazza, Mariarosa, Serra-Capizzano, Stefano

“…Fractional partial order diffusion equations are a generalization of classical partial differential equations, used to model anomalous diffusion phenomena…”
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Spectral analysis and spectral symbol of matrices in isogeometric collocation methods by Donatelli, Marco, Garoni, Carlo, Manni, Carla, Serra-Capizzano, Stefano, Speleers, Hendrik

“…We consider a linear full elliptic second order partial differential equation in a d-dimensional domain, d ≥ 1, approximated by isogeometric collocation…”
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A Note on the Convergence of Multigrid Methods for the Riesz–Space Equation and an Application to Image Deblurring by Ahmad, Danyal, Donatelli, Marco, Mazza, Mariarosa, Serra-Capizzano, Stefano, Trotti, Ken

“…In recent decades, a remarkable amount of research has been carried out regarding fast solvers for large linear systems resulting from various discretizations…”
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Antireflective Boundary Conditions for Deblurring Problems by Donatelli, Marco, Serra-Capizzano, Stefano

“…This survey paper deals with the use of antireflective boundary conditions for deblurring problems where the issues that we consider are the precision of the…”
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Theoretical and numerical aspects of a non-stationary preconditioned iterative method for linear discrete ill-posed problems by Buccini, Alessandro, Donatelli, Marco, Reichel, Lothar

“…This work considers some theoretical and computational aspects of the recent paper (Buccini et al., 2021), whose aim was to relax the convergence conditions in…”
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Fractional graph Laplacian for image reconstruction by Aleotti, Stefano, Buccini, Alessandro, Donatelli, Marco

“…Image reconstruction problems, like image deblurring and computer tomography, are usually ill-posed and require regularization. A popular approach to…”
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Multigrid for two-sided fractional differential equations discretized by finite volume elements on graded meshes by Donatelli, Marco, Krause, Rolf, Mazza, Mariarosa, Trotti, Ken

“…It is known that the solution of a conservative steady-state two-sided fractional diffusion problem can exhibit singularities near the boundaries. As a…”
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Compatibility, embedding and regularization of non-local random walks on graphs by Bianchi, Davide, Donatelli, Marco, Durastante, Fabio, Mazza, Mariarosa

“…Several variants of the graph Laplacian have been introduced to model non-local diffusion processes, which allow a random walker to “jump” to non-neighborhood…”
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Iterated Tikhonov regularization with a general penalty term by Buccini, Alessandro, Donatelli, Marco, Reichel, Lothar

“…Summary Tikhonov regularization is one of the most popular approaches to solving linear discrete ill‐posed problems. The choice of the regularization matrix…”
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On nondecreasing sequences of regularization parameters for nonstationary iterated Tikhonov by Donatelli, Marco

“…Nonstationary iterated Tikhonov is an iterative regularization method that requires a strategy for defining the Tikhonov regularization parameter at each…”
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A nested primal–dual iterated Tikhonov method for regularized convex optimization by Aleotti, Stefano, Bonettini, Silvia, Donatelli, Marco, Prato, Marco, Rebegoldi, Simone

“…Abstract Proximal–gradient methods are widely employed tools in imaging that can be accelerated by adopting variable metrics and/or extrapolation steps. One…”
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SYMBOL-BASED MULTIGRID METHODS FOR GALERKIN B-SPLINE ISOGEOMETRIC ANALYSIS by DONATELLI, MARCO, GARONI, CARLO, MANNI, CARLA, SERRA-CAPIZZANO, STEFANO, SPELEERS, HENDRIK

“…We consider the stiffness matrices arising from the Galerkin B-spline isogeometric analysis discretization of classical elliptic problems. By exploiting their…”
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Symbol based convergence analysis in multigrid methods for saddle point problems by Bolten, Matthias, Donatelli, Marco, Ferrari, Paola, Furci, Isabella

“…Saddle point problems arise in a variety of applications, e.g., when solving the Stokes equations. They can be formulated such that the system matrix is…”
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Symbol based convergence analysis in block multigrid methods with applications for Stokes problems by Bolten, Matthias, Donatelli, Marco, Ferrari, Paola, Furci, Isabella

“…The main focus of this paper is the study of efficient multigrid methods for large linear systems with a particular saddle-point structure. Indeed, when the…”
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Regularization of inverse problems by an approximate matrix-function technique by Cipolla, Stefano, Donatelli, Marco, Durastante, Fabio

“…In this work, we introduce and investigate a class of matrix-free regularization techniques for discrete linear ill-posed problems based on the approximate…”
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A general framework for ADMM acceleration by Buccini, Alessandro, Dell’Acqua, Pietro, Donatelli, Marco

“…The Alternating Direction Multipliers Method (ADMM) is a very popular algorithm for computing the solution of convex constrained minimization problems. Such…”
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A reduced-order model based on cubic B-spline basis function and SSP Runge–Kutta procedure to investigate option pricing under jump-diffusion models by Abbaszadeh, Mostafa, Kalhor, Yasmin, Dehghan, Mehdi, Donatelli, Marco

“…The purpose of this research is to develop a numerical method that can be used to deal with option pricing in jump-diffusion models. The proposed model is made…”
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On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties by Mazza, Mariarosa, Donatelli, Marco, Manni, Carla, Speleers, Hendrik

“…In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B‐spline collocation method. For an arbitrary polynomial…”
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Robust and optimal multi-iterative techniques for IgA Galerkin linear systems by Donatelli, Marco, Garoni, Carlo, Manni, Carla, Serra-Capizzano, Stefano, Speleers, Hendrik

“…We consider fast solvers for large linear systems arising from the Galerkin approximation based on B-splines of classical d-dimensional elliptic problems, d≥1,…”
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