Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems
DOI10.1007/s10444-024-10190-zMaRDI QIDQ6624465
Li-Lian Wang, Jie Shen, Desong Kong, Shuhuang Xiang
Publication date: 25 October 2024
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
eigenvalue distributionsspectral method in timematrix diagonalisationQZ decompositionBessel and generalised Bessel polynomialsLegendre dual Petrov-Galerkin methods
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) KdV equations (Korteweg-de Vries equations) (35Q53) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
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