FEAST for Differential Eigenvalue Problems
From MaRDI portal
Publication:4961122
DOI10.1137/19M1238708zbMath1439.65088arXiv1901.04533MaRDI QIDQ4961122
Publication date: 21 April 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.04533
Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Related Items (10)
A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations ⋮ Complex moment-based methods for differential eigenvalue problems ⋮ Indefinite Sturm-Liouville operators in polar form ⋮ Computing Semigroups with Error Control ⋮ Computing spectral measures and spectral types ⋮ Projection Method for Eigenvalue Problems of Linear Nonsquare Matrix Pencils ⋮ Analysis of FEAST spectral approximations using the DPG discretization ⋮ Computing Spectral Measures of Self-Adjoint Operators ⋮ Twice Is Enough for Dangerous Eigenvalues ⋮ An algorithm for identifying eigenvectors exhibiting strong spatial localization
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The automatic solution of partial differential equations using a global spectral method
- Linear turning point theory
- On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I, II
- Fourierization of the Legendre-Galerkin method and a new space-time spectral method
- Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices
- Linear stability of steady states for thin film and Cahn-Hilliard type equations
- A comparison of eigenvalue condition numbers for matrix polynomials
- Higher order asymptotic distribution of the eigenvalues of nondefinite Sturm-Liouville problems with one turning point
- Backward error and condition of polynomial eigenvalue problems
- On the infinite-dimensional QR algorithm
- Approximate solution of the Sturm-Liouville problems with Legendre-Galerkin-Chebyshev collocation method
- The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions
- Feast Eigensolver for Non-Hermitian Problems
- A Fast and Well-Conditioned Spectral Method
- Iteration-Free Computation of Gauss--Legendre Quadrature Nodes and Weights
- FEAST As A Subspace Iteration Eigensolver Accelerated By Approximate Spectral Projection
- Efficient estimation of eigenvalue counts in an interval
- Householder triangularization of a quasimatrix
- A survey of the theory of spectral operators
- An Instability Phenomenon in Spectral Methods
- On Deriving the Inverse of a Sum of Matrices
- The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
- Periodic traveling waves and locating oscillating patterns in multidimensional domains
- Templates for the Solution of Algebraic Eigenvalue Problems
- Smooth Random Functions, Random ODEs, and Gaussian Processes
- Continuous Analogues of Krylov Subspace Methods for Differential Operators
- Cubically Convergent Iterations for Invariant Subspace Computation
- Properties of steady states for thin film equations
- Regions of convergence of the Rayleigh quotient iteration method
- Spectral discretization errors in filtered subspace iteration
- Computing Eigenvalues of Ordinary Differential Equations by Finite Differences
- Continuous analogues of matrix factorizations
- DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES
- Fast Computation of High‐Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann‐to‐Dirichlet Map
- Spectral Methods for Non-Standard Eigenvalue Problems
- Error Bounds for Approximate Invariant Subspaces of Closed Linear Operators
- Accurate solution of the Orr–Sommerfeld stability equation
- The Numerical Solution of Eigenvalue Problems
- Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems
- Stability of traveling wave solutions to the Whitham equation
This page was built for publication: FEAST for Differential Eigenvalue Problems
