Approximation of positive semidefinite nonlinear eigenvalue problems

DOI10.1007/978-3-030-87809-2_36OpenAlexW4295788456MaRDI QIDQ2091497

D. M. Korosteleva, P. S. Solov'ev, Sergei I. Solov'ev

Publication date: 1 November 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-87809-2_36

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx)

Uses Software

• NLEVP

Cites Work

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• An integral method for solving nonlinear eigenvalue problems
• Nonlinear Rayleigh functionals
• Cosserat spectrum of the first boundary value problem of elasticity
• A successive quadratic approximations method for nonlinear eigenvalue problems
• Approximation of positive semidefinite spectral problems
• Approximation of nonlinear spectral problems in a Hilbert space
• Localization of eigenvalues of closed linear operators
• A block Newton method for nonlinear eigenvalue problems
• Computing several eigenpairs of Hermitian problems by conjugate gradient iterations
• High-precision calculation of the eigenvalues of the Laplace operator
• Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block conjugate gradient method
• A projection method for generalized eigenvalue problems using numerical integration.
• A geometric theory for preconditioned inverse iteration. I: Extrema of Rayleigh quotient
• A geometric theory for preconditioned inverse iteration. II: Convergence estimates
• Eigenvibrations of a beam with load
• Quadrature finite element method for elliptic eigenvalue problems
• A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems
• Discretization of linear equations of mathematical physics with separable variables
• A fast direct method of solving Hermitian fourth-order finite-element schemes for the Poisson equation
• Calculating the eigenvalues of ordinary differential equations
• Fast direct methods of solving finite-element grid schemes with bicubic elements for the Poisson equation
• Finite element approximation of the minimal eigenvalue of a nonlinear eigenvalue problem
• High-accuracy calculation of eigenvalues of the Laplacian in an ellipse (with Neumann boundary condition)
• Eigenvibrations of a bar with elastically attached load
• Numerical study of stability and nonlinear eigenvalue problems
• Solving acoustic nonlinear eigenvalue problems with a contour integral method
• The Quadratic Eigenvalue Problem
• Computational experiments in the problem on eigenvalues for the Laplace operator in the polygonal domain
• Nonlinear Rank-One Modification of the Symmetric Eigenvalue Problem
• NLEVP
• Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation I: Computing an Extreme Eigenvalue
• Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation II: Computing Several Extreme Eigenvalues
• Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
• Spectral Approximation for Compact Operators
• Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods
• Approximation in eigenvalue problems for holomorphic fredholm operator functions I
• Approximation in eigenvalue problems for holomorphic fredholm operator functions Ii (Convergence Rate)
• New A Priori FEM Error Estimates for Eigenvalues
• Sharp Convergence Estimates for the Preconditioned Steepest Descent Method for Hermitian Eigenvalue Problems
• Algorithms for the Nonlinear Eigenvalue Problem

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