The spectral-Galerkin approximation of nonlinear eigenvalue problems
From MaRDI portal
Publication:1635484
DOI10.1016/j.apnum.2018.04.012zbMath1394.65137OpenAlexW2802399570MaRDI QIDQ1635484
Jing An, Jie Shen, Zhimin Zhang
Publication date: 6 June 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.04.012
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items
A collocation-based spectral element method for computing nonlinear optical waveguide, A stable minimal search method for solving multi-order fractional differential equations based on reproducing kernel space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher-order adaptive finite-element methods for Kohn-Sham density functional theory
- Numerical analysis of nonlinear eigenvalue problems
- Finite element approximations of nonlinear eigenvalue problems in quantum physics
- Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates
- Spectral approximation for elliptic boundary value problems
- Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
- An efficient direct parallel spectral-element solver for separable elliptic problems
- Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models
- Finite dimensional approximations for the electronic ground state solution of a molecular system
- Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- An analysis of finite-dimensional approximations for the ground state solution of Bose–Einstein condensates