DOI10.1137/05063533XzbMath1140.65080MaRDI QIDQ5386196
Stefano Serra Capizzano, Bernhard Beckermann
Publication date: 22 April 2008
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Spectral analysis of finite-dimensional approximations of \(1d\) waves in non-uniform grids,
Equivalence between GLT sequences and measurable functions,
Lusin theorem, GLT sequences and matrix computations: an application to the spectral analysis of PDE discretization matrices,
The GLT class as a generalized Fourier analysis and applications,
Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations,
A systematic approach to reduced GLT,
A \(V\)-cycle multigrid for multilevel matrix algebras: proof of optimality,
Optimizing a multigrid Runge-Kutta smoother for variable-coefficient convection-diffusion equations,
Two-grid optimality for Galerkin linear systems based on B-splines,
On the spectrum of stiffness matrices arising from isogeometric analysis,
Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach,
Approximating classes of sequences: The Hermitian case,
Distribution results for a special class of matrix sequences: joining approximation theory and asymptotic linear algebra,
Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods,
Block Generalized Locally Toeplitz Sequences: Topological Construction, Spectral Distribution Results, and Star-Algebra Structure,
Stability of the notion of approximating class of sequences and applications,
Schur Complement Matrix and Its (Elementwise) Approximation: A Spectral Analysis Based on GLT Sequences,
The conditioning of FD matrix sequences coming from semi-elliptic differential equations,
Isogeometric analysis for 2D and 3D curl-div problems: spectral symbols and fast iterative solvers,
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods,
Spectral analysis and structure preserving preconditioners for fractional diffusion equations,
Robust and optimal multi-iterative techniques for Iga Galerkin linear systems,
Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case,
Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case,
Upper Hessenberg and Toeplitz Bohemian matrix sequences: a note on their asymptotical eigenvalues and singular values,
Block generalized locally Toeplitz sequences: from the theory to the applications,
Spectral analysis of coupled PDEs and of their Schur complements via generalized locally Toeplitz sequences in 2D,
Boundary Stabilization of Numerical Approximations of the 1-D Variable Coefficients Wave Equation: A Numerical Viscosity Approach