Generalized locally Toeplitz sequences: a spectral analysis tool for discretized differential equations

DOI10.1007/978-3-319-94911-6_3zbMath1433.65132OpenAlexW2891084953MaRDI QIDQ1728157

Carlo Garoni, Stefano Serra Capizzano

Publication date: 22 February 2019

Full work available at URL: https://doi.org/10.1007/978-3-319-94911-6_3

zbMATH Keywords

numerical discretizationnumerical solutionslocally Toeplitz sequencesspectral distribution of matrices

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (6)

Rectangular GLT sequences ⋮ A rational preconditioner for multi-dimensional Riesz fractional diffusion equations ⋮ An extension of the theory of GLT sequences: sampling on asymptotically uniform grids ⋮ Spectral properties of flipped Toeplitz matrices and related preconditioning ⋮ The Asymptotic Spectrum of Flipped Multilevel Toeplitz Matrices and of Certain Preconditionings ⋮ A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximations and a related spectrally based preconditioning approach

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