Numerical methods for spectral theory
From MaRDI portal
Publication:5236814
DOI10.1090/conm/720/14523zbMath1425.65130OpenAlexW2901270345MaRDI QIDQ5236814
Publication date: 16 October 2019
Published in: Spectral Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/conm/720/14523
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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
- Unnamed Item
- Lower bounds for higher eigenvalues by finite difference methods
- Bounds for eigenvalues of the free and fixed membrane by finite difference methods
- Convergence and optimal complexity of adaptive finite element eigenvalue computations
- Eigenvalues of the non-homogeneous rectangular membrane by finite difference methods
- A boundary integral algorithm for the Laplace Dirichlet-Neumann mixed eigenvalue problem
- The evaluation of the zeros of ill-conditioned polynomials. I, II
- Finite element approximation of eigenvalue problems
- Chladni Figures and the Tacoma Bridge: Motivating PDE Eigenvalue Problems via Vibrating Plates
- Numerical Methods for Large Eigenvalue Problems
- Guaranteed lower bounds for eigenvalues
- Upper and lower bounds for eigenvalues by finite difference methods
- The Plate Paradox for Hard and Soft Simple Support
- Eigenvalues of the Laplacian in Two Dimensions
- The eigenvalue difference problem for the fourth order elliptic operator with mixed boundary conditions
- LAPACK Users' Guide
- The finite difference eigenvalue problem for fourth-order elliptic operator
- Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
- ScaLAPACK Users' Guide
- Numerical Aspects of Eigenvalue and Eigenfunction Computations for Chaotic Quantum Systems
- A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems
- New development in freefem++
- Spectral theory of partial differential equations
- Fast and Backward Stable Computation of Roots of Polynomials
- Reviving the Method of Particular Solutions
- Scientific Computing - An Introduction using Maple and MATLAB
- The Mathematical Theory of Finite Element Methods
- Multishift Variants of the QZ Algorithm with Aggressive Early Deflation
- Approximations and Bounds for Eigenvalues of Elliptic Operators
- Finite Difference Approximations for Eigenvalues of Uniformly Elliptic Operators
- Numerical Linear Algebra