Stefano Serra
Visiting professor at Department of Information Technology; Division of Scientific Computing
- E-mail:
- stefano.serra@it.uu.se
- Visiting address:
- Hus 10, Regementsvägen 10
- Postal address:
- Box 337
751 05 UPPSALA
Publications
Recent publications
Part of Applied Mathematics and Computation, 2025
Spectral properties of flipped Toeplitz matrices and computational applications
Part of Applied Mathematics and Computation, 2025
- DOI for Spectral properties of flipped Toeplitz matrices and computational applications
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Block structures, g.a.c.s. approximation, and distributions
Part of Boletín de la Sociedad Matematica Mexicana, 2025
- DOI for Block structures, g.a.c.s. approximation, and distributions
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Matrix-Sequences of Geometric Means in the Case of Hidden (Asymptotic) Structures
Part of Mathematics, 2025
- DOI for Matrix-Sequences of Geometric Means in the Case of Hidden (Asymptotic) Structures
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Part of Linear Algebra and its Applications, p. 551-584, 2025
- DOI for Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with fractional Laplacian and variable coefficient wave number μ
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All publications
Articles in journal
Spectral properties of flipped Toeplitz matrices and computational applications
Part of Applied Mathematics and Computation, 2025
- DOI for Spectral properties of flipped Toeplitz matrices and computational applications
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Block structures, g.a.c.s. approximation, and distributions
Part of Boletín de la Sociedad Matematica Mexicana, 2025
- DOI for Block structures, g.a.c.s. approximation, and distributions
- Download full text (pdf) of Block structures, g.a.c.s. approximation, and distributions
Matrix-Sequences of Geometric Means in the Case of Hidden (Asymptotic) Structures
Part of Mathematics, 2025
- DOI for Matrix-Sequences of Geometric Means in the Case of Hidden (Asymptotic) Structures
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Part of Linear Algebra and its Applications, p. 551-584, 2025
- DOI for Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with fractional Laplacian and variable coefficient wave number μ
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Part of Numerical Linear Algebra with Applications, 2024
- DOI for Matrix-less methods for the spectral approximation of large non-Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study
- Download full text (pdf) of Matrix-less methods for the spectral approximation of large non-Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study
Part of Numerical Algorithms, 2024
Spectral characterizations and integer powers of tridiagonal 2-Toeplitz matrices
Part of Numerical Algorithms, 2024
Part of Applied Mathematics and Computation, 2024
Modeling Excitable Cells with the EMI Equations: Spectral Analysis and Iterative Solution Strategy
Part of Journal of Scientific Computing, 2024
- DOI for Modeling Excitable Cells with the EMI Equations: Spectral Analysis and Iterative Solution Strategy
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Part of AXIOMS, 2024
- DOI for New Conditions for Testing the Oscillation of Solutions of Second-Order Nonlinear Differential Equations with Damped Term
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The β maps: Strong clustering and distribution results on the complex unit circle
Part of Linear Algebra and its Applications, p. 365-383, 2024
- DOI for The β maps: Strong clustering and distribution results on the complex unit circle
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Fast algebraic multigrid for block-structured dense systems arising from nonlocal diffusion problems
Part of Calcolo, 2024
- DOI for Fast algebraic multigrid for block-structured dense systems arising from nonlocal diffusion problems
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New Monotonic Properties for Solutions of Odd-Order Advanced Nonlinear Differential Equations
Part of Symmetry, 2024
- DOI for New Monotonic Properties for Solutions of Odd-Order Advanced Nonlinear Differential Equations
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Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols
Part of Linear Algebra and its Applications, p. 487-527, 2024
- DOI for Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols
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Part of AXIOMS, 2024
- DOI for More Effective Criteria for Testing the Oscillation of Solutions of Third-Order Differential Equations
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Part of Algorithms, 2024
- DOI for Clustering/Distribution Analysis and Preconditioned Krylov Solvers for the Approximated Helmholtz Equation and Fractional Laplacian in the Case of Complex-Valued, Unbounded Variable Coefficient Wave Number μ
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GLT sequences and automatic computation of the symbol
Part of Linear Algebra and its Applications, p. 468-486, 2024
- DOI for GLT sequences and automatic computation of the symbol
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Part of Numerical Algorithms, p. 1769-1799, 2024
Part of Numerical Linear Algebra with Applications, 2024
- DOI for Algebra preconditionings for 2D Riesz distributed-order space-fractional diffusion equations on convex domains
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Part of Journal of Computational and Applied Mathematics, 2024
One or two frequencies?: The Iterative Filtering answers
Part of Applied Mathematics and Computation, 2024
- DOI for One or two frequencies?: The Iterative Filtering answers
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Part of Algorithms, 2023
- DOI for ω-Circulant Matrices: A Selection of Modern Applications from Preconditioning of Approximated PDEs to Subdivision Schemes
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Generalized Locally Toeplitz matrix-sequences and approximated PDEs on submanifolds: the flat case
Part of Linear and multilinear algebra, p. 1-23, 2023
Approximation results for Beta Jakimovski-Leviatan type operators via q-analogue
Part of Filomat, p. 8389-8404, 2023
Part of SIAM Journal on Matrix Analysis and Applications, p. 1477-1509, 2023
Part of Numerical Linear Algebra with Applications, 2023
A block Toeplitz preconditioner for all-at-once systems from linear wave equations
Part of Electronic Transactions on Numerical Analysis, p. 177-195, 2023
Recognizing seizure using Poincaré plot of EEG signals and graphical features in DWT domain
Part of Bratislava Medical Journal, p. 12-24, 2023
Part of Linear Algebra and its Applications, p. 10-43, 2023
- DOI for Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators
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Part of Electronic Transactions on Numerical Analysis, p. 585-617, 2022
Statistical Convergence via q-Calculus and a Korovkin's Type Approximation Theorem
Part of Axioms, 2022
- DOI for Statistical Convergence via q-Calculus and a Korovkin's Type Approximation Theorem
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Part of Electronic Transactions on Numerical Analysis, p. 1-8, 2022
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems
Part of BIT Numerical Mathematics, p. 465-491, 2022
Part of Electronic Transactions on Numerical Analysis, p. 76-91, 2022
- DOI for Upper Hessenberg and Toeplitz Bohemian matrix sequences: a note on their asymptotical eigenvalues and singular values
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Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems
Part of BIT Numerical Mathematics, p. 1417-1431, 2022
- DOI for Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems
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Part of Numerical Linear Algebra with Applications, 2022
- DOI for Spectral analysis of the finite element matrices approximating 2D linearly elastic structures and multigrid proposals
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Part of Linear and multilinear algebra, p. 1-12, 2022
Part of Numerical Algorithms, p. 1653-1676, 2022
Part of Linear Algebra and its Applications, p. 51-82, 2022
Part of Mathematical and Computational Applications, 2022
- DOI for Spectral Analysis of the Finite Element Matrices Approximating 3D Linearly Elastic Structures and Multigrid Proposals
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The smallest singular value of certain Toeplitz-related parametric triangular matrices
Part of Special Matrices, p. 103-111, 2021
- DOI for The smallest singular value of certain Toeplitz-related parametric triangular matrices
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Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation
Part of Journal of Scientific Computing, 2021
- DOI for Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation
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Part of Numerical Linear Algebra with Applications, 2021
Symbol-based preconditioning for Riesz distributed-order space-fractional diffusion equations
Part of Electronic Transactions on Numerical Analysis, p. 499-513, 2021
Part of Numerische Mathematik, p. 933-971, 2021
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications
Part of Numerical Linear Algebra with Applications, 2021
Part of The Electronic Journal of Linear Algebra, p. 370-386, 2021
Part of Frontiers in Physics, 2020
Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case
Part of Electronic Transactions on Numerical Analysis, p. 28-112, 2020
Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case
Part of Electronic Transactions on Numerical Analysis, p. 113-216, 2020
Fractional Laplace operator in two dimensions, approximating matrices, and related spectral analysis
Part of Calcolo, 2020
Part of Numerical Linear Algebra with Applications, 2020
On using a zero lower bound on the physical density in material distribution topology optimization
Part of Computer Methods in Applied Mechanics and Engineering, 2020
Part of Numerical Linear Algebra with Applications, 2020
Asymptotic Spectra of Large (Grid) Graphs with a Uniform Local Structure (Part I): Theory
Part of Milan Journal of Mathematics, p. 409-454, 2020
- DOI for Asymptotic Spectra of Large (Grid) Graphs with a Uniform Local Structure (Part I): Theory
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NURBS in isogeometric discretization methods: A spectral analysis
Part of Numerical Linear Algebra with Applications, 2020
Eigenpairs of some particular band Toeplitz matrices: A comment
Part of Numerical Linear Algebra with Applications, 2020
A Multigrid method for nonlocal problems: non-diagonally dominant Toeplitz-plus-tridiagonal systems
Part of SIAM Journal on Matrix Analysis and Applications, p. 1546-1570, 2020
Computation of Asymptotic Spectral Distributions for Sequences of Grid Operators
Part of Computational Mathematics and Mathematical Physics, p. 1761-1777, 2020
Part of Seismological Research Letters, p. 2611-2623, 2020
Part of Applied Mathematics and Computation, 2020
Part of SIAM Journal on Matrix Analysis and Applications, p. 1066-1086, 2019
A note on the spectral distribution of symmetrized Toeplitz sequences
Part of Linear Algebra and its Applications, p. 32-50, 2019
Spectral and convergence analysis of the discrete ALIF method
Part of Linear Algebra and its Applications, p. 62-95, 2019
Block GLT sequences: Matrix functions and engineering application
Part of The Electronic Journal of Linear Algebra, p. 204-222, 2019
A merged tuning of binary and ternary Loop's subdivision
Part of Computer Aided Geometric Design, p. 27-44, 2019
Part of Mathematics of Computation, p. 1155-1188, 2019
Isogeometric analysis for 2D and 3D curl–div problems: Spectral symbols and fast iterative solvers
Part of Computer Methods in Applied Mechanics and Engineering, p. 970-997, 2019
Part of Climate of the Past, p. 709-724, 2018
Spectral analysis of finite-dimensional approximations of 1d waves in non-uniform grids
Part of Calcolo, 2018
Are the eigenvalues of banded symmetric Toeplitz matrices known in almost closed form?
Part of Experimental Mathematics, p. 478-487, 2018
- DOI for Are the eigenvalues of banded symmetric Toeplitz matrices known in almost closed form?
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Part of Numerical Linear Algebra with Applications, 2018
Exact formulæ and matrix-less eigensolvers for block banded symmetric Toeplitz matrices
Part of BIT Numerical Mathematics, p. 937-968, 2018
Part of Numerical Linear Algebra with Applications, 2018
Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols
Part of Numerical Linear Algebra with Applications, 2018
Block generalized locally Toeplitz sequences: From the theory to the applications
Part of Axioms, 2018
Part of Journal of Scientific Computing, p. 1034-1059, 2018
Part of Journal of Fourier Analysis and Applications, p. 506-524, 2018
Generalized Newton multi-step iterative methods GMNp,m for solving systems of nonlinear equations
Part of International Journal of Computer Mathematics, p. 881-897, 2018
Part of Numerical Algorithms, p. 867-893, 2018
Part of SIAM Journal on Matrix Analysis and Applications, p. 1383-1420, 2018
Part of SIAM Journal on Scientific Computing, 2018
Part of Applied Numerical Mathematics, p. 1-1, 2017
Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis
Part of SIAM Journal on Numerical Analysis, p. 31-62, 2017
Part of Applied Mathematics and Computation, p. 199-211, 2017
Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods
Part of Mathematics of Computation, p. 1343-1373, 2017
Part of Journal of Computational Analysis And Applications, p. 445-461, 2017
Optimizing a multigrid Runge–Kutta smoother for variable-coefficient convection–diffusion equations
Part of Linear Algebra and its Applications, p. 507-535, 2017
Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey
Part of Sbornik. Mathematics, p. 1602-1627, 2017
Part of Journal of Mathematical Analysis and Applications, p. 365-382, 2017
Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem
Part of Computers and Mathematics with Applications, p. 1015-1028, 2017
A family of iterative methods for solving systems of nonlinear equations having unknown multiplicity
Part of Algorithms, 2016
Part of Algorithms, 2016
Spectral analysis and structure preserving preconditioners for fractional diffusion equations
Part of Journal of Computational Physics, p. 262-279, 2016
Optimal preconditioning for image deblurring with Anti-Reflective boundary conditions
Part of Linear Algebra and its Applications, p. 159-185, 2016
Multigrid methods for cubic spline solution of two point (and 2D) boundary value problems
Part of Applied Numerical Mathematics, p. 15-29, 2016
Part of Numerical Linear Algebra with Applications, p. 83-119, 2016
Part of Linear Algebra and its Applications, p. 276-291, 2016
Part of Computer Methods in Applied Mechanics and Engineering, p. 74-105, 2016
Solving systems of nonlinear equations when the nonlinearity is expensive
Part of Computers and Mathematics with Applications, p. 1464-1478, 2016
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods
Part of Mathematics of Computation, p. 1639-1680, 2016
Part of Linear Algebra and its Applications, p. 138-160, 2016
Part of Calcolo, p. 425-444, 2015
Part of Numerical Linear Algebra with Applications, p. 123-144, 2015
Two-grid optimality for Galerkin linear systems based on B-splines
Part of Computing and Visualization in Science, p. 119-133, 2015
Robust and optimal multi-iterative techniques for IgA collocation linear systems
Part of Computer Methods in Applied Mechanics and Engineering, p. 1120-1146, 2015
Iterated fractional Tikhonov regularization
Part of Inverse Problems, 2015
A general tool for determining the asymptotic spectral distribution of Hermitian matrix-sequences
Part of Operators and Matrices, p. 549-561, 2015
Spectral analysis and spectral symbol of d-variate Qp Lagrangian FEM stiffness matrices
Part of SIAM Journal on Matrix Analysis and Applications, p. 1100-1128, 2015
Accelerated multigrid for graph Laplacian operators
Part of Applied Mathematics and Computation, p. 193-215, 2015
Robust and optimal multi-iterative techniques for IgA Galerkin linear systems
Part of Computer Methods in Applied Mechanics and Engineering, p. 230-264, 2015
Part of Applied Mathematics and Computation, p. 972-987, 2015
Part of Integral equations and operator theory, p. 213-225, 2015
On an augmented Lagrangian-based preconditioning of Oseen type problems
Part of BIT Numerical Mathematics, p. 865-888, 2011
Stability of the notion of approximating class of sequences and applications
Part of Journal of Computational and Applied Mathematics, p. 518-536, 2008
Can one hear the composition of a drum?
Part of Mediterranean Journal of Mathematics, p. 227-249, 2006
Articles, review/survey
Part of Applied Mathematics and Computation, 2025
Part of Archives of Computational Methods in Engineering, p. 1639-1690, 2019
Part of Boletín de la Sociedad Matematica Mexicana, p. 529-565, 2016
Part of Applied Mathematics and Computation, p. 249-259, 2015
Books
Chapters in book
Numerical Simulations of Marble Sulfation
Part of Mathematical Modeling in Cultural Heritage, p. 107-122, Springer International Publishing, 2020
Eigenvalue isogeometric approximations based on B-splines: Tools and results
Part of Advanced Methods for Geometric Modeling and Numerical Simulation, p. 57-76, Springer, 2019
Part of Structured Matrices in Numerical Linear Algebra, p. 59-79, Springer, 2019
Block locally Toeplitz sequences: Construction and properties
Part of Structured Matrices in Numerical Linear Algebra, p. 25-58, Springer, 2019
Part of Splines and PDEs, p. 161-236, Springer, 2018
Part of Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics, p. 353-394, Springer, 2017
Canonical eigenvalue distribution of multilevel block Toeplitz sequences with non-Hermitian symbols
Part of Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations, p. 269-291, Springer, 2012
Conference papers
Part of Large-Scale Scientific Computations, LSSC 2023, p. 52-60, 2024
Multilevel Generalized Locally Toeplitz Sequences: An Overview and an Example of Application
Part of International Conference on Numerical Analysis and Applied Mathematics (ICNAAM-2018), 2019
Part of Large-Scale Scientific Computing, p. 419-426, 2015
Reports
Fast parallel solver for the space–time IgA–DG discretization of the anisotropic diffusion equation
2019
Block generalized locally Toeplitz sequences: Theory and applications
2019
Block generalized locally Toeplitz sequences: Theory and applications in the unidimensional case
2019
Block generalized locally Toeplitz sequences: Theory and applications in the multidimensional case
2019
Discontinuous Galerkin discretization of the heat equation in any dimension: The spectral symbol
2018
Eigenvalue isogeometric approximations based on B-splines: Tools and results
2018
2018
How to extend the application scope of GLT-sequences
2018
The theory of block generalized locally Toeplitz sequences
2018
Exact formulæ and matrix-less eigensolvers for block banded symmetric Toeplitz matrices
2018
Block generalized locally Toeplitz sequences: From the theory to the applications
2018
Spectral analysis of finite-difference approximations of 1-d waves in non-uniform grids
2017
Spectral and convergence analysis of the discrete ALIF method
2017
Are the eigenvalues of the B-spline IgA approximation of −Δu = λu known in almost closed form?
2017
2017
Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols
2017
Generalized locally Toeplitz sequences: Theory and applications
2017
2017
A block multigrid strategy for two-dimensional coupled PDEs
2016
Eigenvalues of banded symmetric Toeplitz matrices are known almost in closed form?
2016
2016
Spectral analysis and structure preserving preconditioners for fractional diffusion equations
2015
Generalized locally Toeplitz sequences: a review and an extension
2015
2015
2015
2015
Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods
2015
2015
2014
Toeplitz matrices: Spectral properties and preconditioning in the CG method
2014
Spectral analysis and spectral symbol of d-variate Qp Lagrangian FEM stiffness matrices
2014
On an augmented Lagrangian-based preconditioning of Oseen type problems
2010